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103232013032112 = 24310943759450899
BaseRepresentation
bin10111011110001110010011…
…011101110101101010110000
3111112111212212111001000112020
4113132032103131311222300
5102012323130314011422
61003320044310431440
730513160342502436
oct2736162335655260
9445455774030466
10103232013032112
112a9904a6115988
12b6b3080362580
13457a977418163
141b6c655722d56
15be047cb9a95c
hex5de393775ab0

103232013032112 has 80 divisors (see below), whose sum is σ = 269136077760000. Its totient is φ = 34094122013952.

The previous prime is 103232013032051. The next prime is 103232013032129. The reversal of 103232013032112 is 211230310232301.

It is a super-3 number, since 3×1032320130321123 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228721639 + ... + 229172537.

It is an arithmetic number, because the mean of its divisors is an integer number (3364200972000).

Almost surely, 2103232013032112 is an apocalyptic number.

103232013032112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103232013032112 is an abundant number, since it is smaller than the sum of its proper divisors (165904064727888).

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

103232013032112 is a wasteful number, since it uses less digits than its factorization.

103232013032112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494778 (or 494772 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 103232013032112 its reverse (211230310232301), we get a palindrome (314462323264413).

The spelling of 103232013032112 in words is "one hundred three trillion, two hundred thirty-two billion, thirteen million, thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 872 1308 1744 2616 5232 43759 87518 131277 175036 262554 350072 450899 525108 700144 901798 1050216 1352697 1803596 2100432 2705394 3607192 4769731 5410788 7214384 9539462 10821576 14309193 19078924 21643152 28618386 38157848 49147991 57236772 76315696 98295982 114473544 147443973 196591964 228947088 294887946 393183928 589775892 786367856 1179551784 2359103568 19730889341 39461778682 59192668023 78923557364 118385336046 157847114728 236770672092 315694229456 473541344184 947082688368 2150666938169 4301333876338 6452000814507 8602667752676 12904001629014 17205335505352 25808003258028 34410671010704 51616006516056 103232013032112