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103103321112 = 233211863150847
BaseRepresentation
bin110000000000101101…
…1111101010000011000
3100212010110002101111200
41200001123331100120
53142123422233422
6115210501554200
710306665524631
oct1400133752030
9325113071450
10103103321112
113a7a91561a0
1217b95115960
13995172b31c
144dc1280888
152a368dc2ac
hex18016fd418

103103321112 has 96 divisors (see below), whose sum is σ = 304978452480. Its totient is φ = 31207020480.

The previous prime is 103103321089. The next prime is 103103321117. The reversal of 103103321112 is 211123301301.

103103321112 is a `hidden beast` number, since 1 + 0 + 310 + 332 + 11 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103103321117) 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, 608073 + ... + 758919.

It is an arithmetic number, because the mean of its divisors is an integer number (3176858880).

Almost surely, 2103103321112 is an apocalyptic number.

103103321112 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 103103321112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152489226240).

103103321112 is an abundant number, since it is smaller than the sum of its proper divisors (201875131368).

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

103103321112 is a wasteful number, since it uses less digits than its factorization.

103103321112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151733 (or 151726 counting only the distinct ones).

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

Adding to 103103321112 its reverse (211123301301), we get a palindrome (314226622413).

The spelling of 103103321112 in words is "one hundred three billion, one hundred three million, three hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 863 1726 2589 3452 5178 6904 7767 9493 10356 15534 18986 20712 28479 31068 37972 56958 62136 75944 85437 113916 150847 170874 227832 301694 341748 452541 603388 683496 905082 1206776 1357623 1659317 1810164 2715246 3318634 3620328 4977951 5430492 6637268 9955902 10860984 13274536 14933853 19911804 29867706 39823608 59735412 119470824 130180961 260361922 390542883 520723844 781085766 1041447688 1171628649 1431990571 1562171532 2343257298 2863981142 3124343064 4295971713 4686514596 5727962284 8591943426 9373029192 11455924568 12887915139 17183886852 25775830278 34367773704 51551660556 103103321112