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103112100108 = 2232131179122147
BaseRepresentation
bin110000000000111110…
…1011100100100001100
3100212011001121102000200
41200001331130210030
53142133144200413
6115211414053500
710310133250443
oct1400175344414
9325131542020
10103112100108
113a803101a66
1217b9804a290
1399534b31b4
144dc24c7d5a
152a37573573
hex1801f5c90c

103112100108 has 72 divisors (see below), whose sum is σ = 264103519680. Its totient is φ = 33917501280.

The previous prime is 103112100107. The next prime is 103112100127. The reversal of 103112100108 is 801001211301.

It is a happy number.

It is a super-5 number, since 5×1031121001085 (a number of 56 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

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 (103112100107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783091 + ... + 905237.

It is an arithmetic number, because the mean of its divisors is an integer number (3668104440).

Almost surely, 2103112100108 is an apocalyptic number.

103112100108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103112100108 is an abundant number, since it is smaller than the sum of its proper divisors (160991419572).

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

103112100108 is a wasteful number, since it uses less digits than its factorization.

103112100108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122467 (or 122462 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 103112100108 its reverse (801001211301), we get a palindrome (904113311409).

The spelling of 103112100108 in words is "one hundred three billion, one hundred twelve million, one hundred thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 131 179 262 358 393 524 537 716 786 1074 1179 1572 1611 2148 2358 3222 4716 6444 23449 46898 70347 93796 122147 140694 211041 244294 281388 366441 422082 488588 732882 844164 1099323 1465764 2198646 4397292 16001257 21864313 32002514 43728626 48003771 64005028 65592939 87457252 96007542 131185878 144011313 192015084 196778817 262371756 288022626 393557634 576045252 787115268 2864225003 5728450006 8592675009 11456900012 17185350018 25778025027 34370700036 51556050054 103112100108