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230002023120 = 243519729316603
BaseRepresentation
bin1101011000110100110…
…0000101101011010000
3210222200020101101001220
43112031030011223100
512232021004214440
6253354513325040
722421443640112
oct3261514055320
9728606341056
10230002023120
11895a8167231
12386ab266780
13188c5c4208c
14b1bc8d53b2
155eb234c8d0
hex358d305ad0

230002023120 has 160 divisors (see below), whose sum is σ = 719114723712. Its totient is φ = 60810602496.

The previous prime is 230002023113. The next prime is 230002023133. The reversal of 230002023120 is 21320200032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230002023120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13844739 + ... + 13861341.

Almost surely, 2230002023120 is an apocalyptic number.

230002023120 is a gapful number since it is divisible by the number (20) 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 230002023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359557361856).

230002023120 is an abundant number, since it is smaller than the sum of its proper divisors (489112700592).

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

230002023120 is a wasteful number, since it uses less digits than its factorization.

230002023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17109 (or 17103 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 230002023120 its reverse (21320200032), we get a palindrome (251322223152).

The spelling of 230002023120 in words is "two hundred thirty billion, two million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 197 240 293 394 586 591 788 879 985 1172 1182 1465 1576 1758 1970 2344 2364 2930 2955 3152 3516 3940 4395 4688 4728 5860 5910 7032 7880 8790 9456 11720 11820 14064 15760 16603 17580 23440 23640 33206 35160 47280 49809 57721 66412 70320 83015 99618 115442 132824 166030 173163 199236 230884 249045 265648 288605 332060 346326 398472 461768 498090 577210 664120 692652 796944 865815 923536 996180 1154420 1328240 1385304 1731630 1992360 2308840 2770608 3270791 3463260 3984720 4617680 4864679 6541582 6926520 9729358 9812373 13083164 13853040 14594037 16353955 19458716 19624746 24323395 26166328 29188074 32707910 38917432 39249492 48646790 49061865 52332656 58376148 65415820 72970185 77834864 78498984 97293580 98123730 116752296 130831640 145940370 156997968 194587160 196247460 233504592 261663280 291880740 389174320 392494920 583761480 784989840 958341763 1167522960 1916683526 2875025289 3833367052 4791708815 5750050578 7666734104 9583417630 11500101156 14375126445 15333468208 19166835260 23000202312 28750252890 38333670520 46000404624 57500505780 76667341040 115001011560 230002023120