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103030100231112 = 23324353211847083
BaseRepresentation
bin10111011011010010010000…
…100001101000001111001000
3111111210120200211110222100100
4113123102100201220033020
5102001021121124343422
61003043212530405400
730462451634142225
oct2733222041501710
9444716624428310
10103030100231112
112a91290265600a
12b67bb10130860
134564909a32992
141b6297d5a494c
15bda0b183a7ac
hex5db4908683c8

103030100231112 has 144 divisors (see below), whose sum is σ = 291018168801360. Its totient is φ = 32911762455936.

The previous prime is 103030100231027. The next prime is 103030100231119. The reversal of 103030100231112 is 211132001030301.

103030100231112 is a `hidden beast` number, since 10 + 30 + 301 + 0 + 0 + 2 + 311 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (103030100231119) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2773123 + ... + 14620205.

It is an arithmetic number, because the mean of its divisors is an integer number (2020959505565).

Almost surely, 2103030100231112 is an apocalyptic number.

103030100231112 is a gapful number since it is divisible by the number (12) 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 103030100231112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145509084400680).

103030100231112 is an abundant number, since it is smaller than the sum of its proper divisors (187988068570248).

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

103030100231112 is a wasteful number, since it uses less digits than its factorization.

103030100231112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11847244 (or 11847184 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103030100231112 its reverse (211132001030301), we get a palindrome (314162101261413).

The spelling of 103030100231112 in words is "one hundred three trillion, thirty billion, one hundred million, two hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 53 72 86 106 129 159 172 212 258 318 344 387 424 477 516 636 774 954 1032 1272 1548 1908 2279 2809 3096 3816 4558 5618 6837 8427 9116 11236 13674 16854 18232 20511 22472 25281 27348 33708 41022 50562 54696 67416 82044 101124 120787 164088 202248 241574 362361 483148 724722 966296 1087083 1449444 2174166 2898888 4348332 8696664 11847083 23694166 35541249 47388332 71082498 94776664 106623747 142164996 213247494 284329992 426494988 509424569 627895399 852989976 1018849138 1255790798 1528273707 1883686197 2037698276 2511581596 3056547414 3767372394 4075396552 4584821121 5023163192 5651058591 6113094828 7534744788 9169642242 11302117182 12226189656 15069489576 18339284484 22604234364 26999502157 33278456147 36678568968 45208468728 53999004314 66556912294 80998506471 99835368441 107998008628 133113824588 161997012942 199670736882 215996017256 242995519413 266227649176 299506105323 323994025884 399341473764 485991038826 599012210646 647988051768 798682947528 971982077652 1198024421292 1430973614321 1943964155304 2396048842584 2861947228642 4292920842963 5723894457284 8585841685926 11447788914568 12878762528889 17171683371852 25757525057778 34343366743704 51515050115556 103030100231112