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12023232130 = 2571373241751
BaseRepresentation
bin10110011001010001…
…11111011010000010
31011000220211110211201
423030220333122002
5144110421412010
65305015331414
7603642533620
oct131450773202
934026743751
1012023232130
11510a88a288
1223b6680b6a
131197c0a150
14820b48510
154a580e23a
hex2cca3f682

12023232130 has 128 divisors (see below), whose sum is σ = 27149101056. Its totient is φ = 3732480000.

The previous prime is 12023232121. The next prime is 12023232191. The reversal of 12023232130 is 3123232021.

12023232130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120232321302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12023232098 and 12023232107.

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 63 ways as a sum of consecutive naturals, for example, 16009255 + ... + 16010005.

It is an arithmetic number, because the mean of its divisors is an integer number (212102352).

Almost surely, 212023232130 is an apocalyptic number.

12023232130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12023232130 is an abundant number, since it is smaller than the sum of its proper divisors (15125868926).

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

12023232130 is a wasteful number, since it uses less digits than its factorization.

12023232130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12023232130 its reverse (3123232021), we get a palindrome (15146464151).

The spelling of 12023232130 in words is "twelve billion, twenty-three million, two hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 73 91 130 146 182 241 365 455 482 511 730 751 910 949 1022 1205 1502 1687 1898 2410 2555 3133 3374 3755 4745 5110 5257 6266 6643 7510 8435 9490 9763 10514 13286 15665 16870 17593 19526 21931 26285 31330 33215 35186 43862 48815 52570 54823 66430 68341 87965 97630 109646 109655 123151 136682 175930 180991 219310 228709 246302 274115 341705 361982 383761 457418 548230 615755 683410 712699 767522 904955 1143545 1231510 1266937 1425398 1600963 1809910 1918805 2287090 2352883 2533874 3201926 3563495 3837610 4705766 4988893 6334685 7126990 8004815 9977786 11764415 12669370 13212343 16009630 16470181 23528830 24944465 26424686 32940362 49888930 66061715 82350905 92486401 132123430 164701810 171760459 184972802 343520918 462432005 858802295 924864010 1202323213 1717604590 2404646426 6011616065 12023232130