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311312103100 = 22526167761713
BaseRepresentation
bin1001000011110111010…
…01011011011010111100
31002202112212122101221121
410201323221123122330
520100031344244400
6355003110440324
731330414133635
oct4417351333274
91082485571847
10311312103100
11110032625839
12504019630a4
1323483600c3b
14110d365688c
15817084d21a
hex487ba5b6bc

311312103100 has 72 divisors (see below), whose sum is σ = 696870810608. Its totient is φ = 120655180800.

The previous prime is 311312103077. The next prime is 311312103133. The reversal of 311312103100 is 1301213113.

It is a super-2 number, since 2×3113121031002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27844 + ... + 789556.

Almost surely, 2311312103100 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 311312103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348435405304).

311312103100 is an abundant number, since it is smaller than the sum of its proper divisors (385558707508).

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

311312103100 is a wasteful number, since it uses less digits than its factorization.

311312103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761855 (or 761848 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 311312103100 its reverse (1301213113), we get a palindrome (312613316213).

The spelling of 311312103100 in words is "three hundred eleven billion, three hundred twelve million, one hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 67 100 122 134 244 268 305 335 610 670 1220 1340 1525 1675 3050 3350 4087 6100 6700 8174 16348 20435 40870 81740 102175 204350 408700 761713 1523426 3046852 3808565 7617130 15234260 19042825 38085650 46464493 51034771 76171300 92928986 102069542 185857972 204139084 232322465 255173855 464644930 510347710 929289860 1020695420 1161612325 1275869275 2323224650 2551738550 3113121031 4646449300 5103477100 6226242062 12452484124 15565605155 31131210310 62262420620 77828025775 155656051550 311312103100