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12302023030020 = 22325831741472963
BaseRepresentation
bin1011001100000100100110…
…1101100111010100000100
31121120001200010200201000100
42303001021231213110010
53103024020343430040
642055245451444100
72406535412265513
oct263011155472404
947501603621010
1012302023030020
113a13293318539
12146826a756630
136b30ca69a179
143075c769267a
1516500cee0b30
hexb3049b67504

12302023030020 has 144 divisors (see below), whose sum is σ = 37787500400832. Its totient is φ = 3239146471680.

The previous prime is 12302023030007. The next prime is 12302023030051. The reversal of 12302023030020 is 2003032020321.

It is a happy number.

12302023030020 is a `hidden beast` number, since 12 + 302 + 0 + 2 + 30 + 300 + 20 = 666.

It is a super-2 number, since 2×123020230300202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12302023029975 and 12302023030002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25774059 + ... + 26247021.

It is an arithmetic number, because the mean of its divisors is an integer number (262413197228).

Almost surely, 212302023030020 is an apocalyptic number.

12302023030020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12302023030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18893750200416).

12302023030020 is an abundant number, since it is smaller than the sum of its proper divisors (25485477370812).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12302023030020 is a wasteful number, since it uses less digits than its factorization.

12302023030020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474802 (or 474797 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12302023030020 its reverse (2003032020321), we get a palindrome (14305055050341).

The spelling of 12302023030020 in words is "twelve trillion, three hundred two billion, twenty-three million, thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 1741 2490 2988 3482 3735 4980 5223 6964 7470 8705 10446 14940 15669 17410 20892 26115 31338 34820 52230 62676 78345 104460 144503 156690 289006 313380 433509 472963 578012 722515 867018 945926 1300527 1418889 1445030 1734036 1891852 2167545 2364815 2601054 2837778 2890060 4256667 4335090 4729630 5202108 5675556 6502635 7094445 8513334 8670180 9459260 13005270 14188890 17026668 21283335 26010540 28377780 39255929 42566670 78511858 85133340 117767787 157023716 196279645 235535574 353303361 392559290 471071148 588838935 706606722 785118580 823428583 1177677870 1413213444 1646857166 1766516805 2355355740 2470285749 3293714332 3533033610 4117142915 4940571498 7066067220 7410857247 8234285830 9881142996 12351428745 14821714494 16468571660 24702857490 29643428988 37054286235 49405714980 68344572389 74108572470 136689144778 148217144940 205033717167 273378289556 341722861945 410067434334 615101151501 683445723890 820134868668 1025168585835 1230202303002 1366891447780 2050337171670 2460404606004 3075505757505 4100674343340 6151011515010 12302023030020