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100323131304 = 233115942115299
BaseRepresentation
bin101110101101110111…
…0010111111110101000
3100120221200200010001210
41131123232113332220
53120430210200204
6114030544513120
710151046355164
oct1353356277650
9316850603053
10100323131304
1139601879470
121753a01b7a0
1395ca748cb6
144bd9d35ca4
1529227b7389
hex175bb97fa8

100323131304 has 128 divisors (see below), whose sum is σ = 278925120000. Its totient is φ = 29812742400.

The previous prime is 100323131303. The next prime is 100323131369. The reversal of 100323131304 is 403131323001.

It is not an unprimeable number, because it can be changed into a prime (100323131303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6549847 + ... + 6565145.

It is an arithmetic number, because the mean of its divisors is an integer number (2179102500).

Almost surely, 2100323131304 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 100323131304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139462560000).

100323131304 is an abundant number, since it is smaller than the sum of its proper divisors (178601988696).

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

100323131304 is a wasteful number, since it uses less digits than its factorization.

100323131304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15799 (or 15795 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 100323131304 its reverse (403131323001), we get a palindrome (503454454305).

The spelling of 100323131304 in words is "one hundred billion, three hundred twenty-three million, one hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 88 118 132 177 236 264 354 421 472 649 708 842 1263 1298 1416 1684 1947 2526 2596 3368 3894 4631 5052 5192 7788 9262 10104 13893 15299 15576 18524 24839 27786 30598 37048 45897 49678 55572 61196 74517 91794 99356 111144 122392 149034 168289 183588 198712 273229 298068 336578 367176 504867 546458 596136 673156 819687 902641 1009734 1092916 1346312 1639374 1805282 2019468 2185832 2707923 3278748 3610564 4038936 5415846 6440879 6557496 7221128 9929051 10831692 12881758 19322637 19858102 21663384 25763516 29787153 38645274 39716204 51527032 59574306 70849669 77290548 79432408 119148612 141699338 154581096 212549007 238297224 283398676 380011861 425098014 566797352 760023722 850196028 1140035583 1520047444 1700392056 2280071166 3040094888 4180130471 4560142332 8360260942 9120284664 12540391413 16720521884 25080782826 33441043768 50161565652 100323131304