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311320103120 = 24513299346253
BaseRepresentation
bin1001000011111000001…
…11111100100011010000
31002202120102200211220122
410201330013330203100
520100040421244440
6355003554125412
731330542133415
oct4417407744320
91082512624818
10311320103120
1111003709a324
1250404580868
1323485172390
14110d473a10c
1581713cd7b5
hex487c1fc8d0

311320103120 has 40 divisors (see below), whose sum is σ = 779497645416. Its totient is φ = 114948960768.

The previous prime is 311320103093. The next prime is 311320103123. The reversal of 311320103120 is 21301023113.

It can be written as a sum of positive squares in 4 ways, for example, as 4873715344 + 306446387776 = 69812^2 + 553576^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311320103123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149672087 + ... + 149674166.

Almost surely, 2311320103120 is an apocalyptic number.

It is an amenable number.

311320103120 is an abundant number, since it is smaller than the sum of its proper divisors (468177542296).

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

311320103120 is a wasteful number, since it uses less digits than its factorization.

311320103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299346279 (or 299346273 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 311320103120 its reverse (21301023113), we get a palindrome (332621126233).

The spelling of 311320103120 in words is "three hundred eleven billion, three hundred twenty million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 299346253 598692506 1197385012 1496731265 2394770024 2993462530 3891501289 4789540048 5986925060 7783002578 11973850120 15566005156 19457506445 23947700240 31132010312 38915012890 62264020624 77830025780 155660051560 311320103120