Search a number
-
+
12103256461230 = 23251115118091007
BaseRepresentation
bin1011000000100000001001…
…0011010100111110101110
31120212001121202022211001100
42300020002103110332232
53041244432123224410
641424054222223530
72356300656316044
oct260100223247656
946761552284040
1012103256461230
113946a64817480
121435838124ba6
1369a441a7915c
142dbb2d324394
1515ec77eac8c0
hexb02024d4fae

12103256461230 has 96 divisors (see below), whose sum is σ = 34351960301568. Its totient is φ = 2932180574400.

The previous prime is 12103256461217. The next prime is 12103256461237. The reversal of 12103256461230 is 3216465230121.

12103256461230 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 3 + 2 + 5 + 6 + 4 + 612 + 30 = 666.

It is a super-2 number, since 2×121032564612302 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12103256461237) by changing a digit.

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, 2549614 + ... + 5541393.

It is an arithmetic number, because the mean of its divisors is an integer number (357832919808).

Almost surely, 212103256461230 is an apocalyptic number.

12103256461230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12103256461230 is an abundant number, since it is smaller than the sum of its proper divisors (22248703840338).

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

12103256461230 is a wasteful number, since it uses less digits than its factorization.

12103256461230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8092542 (or 8092539 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 12103256461230 in words is "twelve trillion, one hundred three billion, two hundred fifty-six million, four hundred sixty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1511 3022 4533 7555 9066 13599 15110 16621 22665 27198 33242 45330 49863 67995 83105 99726 135990 149589 166210 249315 299178 498630 747945 1495890 8091007 16182014 24273021 40455035 48546042 72819063 80910070 89001077 121365105 145638126 178002154 242730210 267003231 364095315 445005385 534006462 728190630 801009693 890010770 1335016155 1602019386 2670032310 4005048465 8010096930 12225511577 24451023154 36676534731 61127557885 73353069462 110029604193 122255115770 134480627347 183382673655 220059208386 268961254694 366765347310 403441882041 550148020965 672403136735 806883764082 1100296041930 1210325646123 1344806273470 2017209410205 2420651292246 4034418820410 6051628230615 12103256461230