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102331002112 = 283115212467
BaseRepresentation
bin101111101001101100…
…1110010110100000000
3100210010121211112000021
41133103121302310000
53134033214031422
6115002112303224
710251600111013
oct1372331626400
9323117745007
10102331002112
113a442201529
12179ba541b14
13985a71aa31
144d4a87d37a
1529ddbd1dc7
hex17d3672d00

102331002112 has 72 divisors (see below), whose sum is σ = 205395607872. Its totient is φ = 50882457600.

The previous prime is 102331002079. The next prime is 102331002127. The reversal of 102331002112 is 211200133201.

It is a super-2 number, since 2×1023310021122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41478703 + ... + 41481169.

It is an arithmetic number, because the mean of its divisors is an integer number (2852716776).

Almost surely, 2102331002112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102331002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102697803936).

102331002112 is an abundant number, since it is smaller than the sum of its proper divisors (103064605760).

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

102331002112 is an equidigital number, since it uses as much as digits as its factorization.

102331002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3315 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102331002112 its reverse (211200133201), we get a palindrome (313531135313).

The spelling of 102331002112 in words is "one hundred two billion, three hundred thirty-one million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 311 521 622 1042 1244 2084 2467 2488 4168 4934 4976 8336 9868 9952 16672 19736 19904 33344 39472 39808 66688 78944 79616 133376 157888 162031 315776 324062 631552 648124 767237 1285307 1296248 1534474 2570614 2592496 3068948 5141228 5184992 6137896 10282456 10369984 12275792 20564912 20739968 24551584 41129824 41479936 49103168 82259648 98206336 164519296 196412672 329038592 399730477 799460954 1598921908 3197843816 6395687632 12791375264 25582750528 51165501056 102331002112