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331202411201113 = 23313715183142923
BaseRepresentation
bin100101101001110100001001…
…0000100011000001001011001
31121102200122022111110011102121
41023103220102010120021121
5321402410014231413423
63132224142012301241
7126522404334560224
oct11323502204301131
91542618274404377
10331202411201113
119659317676a761
12311912b5471821
13112a633a839b8a
145bb03d46445bb
152845504d5d45d
hex12d3a12118259

331202411201113 has 32 divisors (see below), whose sum is σ = 368819350290432. Its totient is φ = 296321374008000.

The previous prime is 331202411201093. The next prime is 331202411201143. The reversal of 331202411201113 is 311102114202133.

It is a de Polignac number, because none of the positive numbers 2k-331202411201113 is a prime.

It is a super-2 number, since 2×3312024112011132 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331202411201143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37587931 + ... + 45554992.

It is an arithmetic number, because the mean of its divisors is an integer number (11525604696576).

Almost surely, 2331202411201113 is an apocalyptic number.

It is an amenable number.

331202411201113 is a deficient number, since it is larger than the sum of its proper divisors (37616939089319).

331202411201113 is a wasteful number, since it uses less digits than its factorization.

331202411201113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83143165.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 331202411201113 its reverse (311102114202133), we get a palindrome (642304525403246).

The spelling of 331202411201113 in words is "three hundred thirty-one trillion, two hundred two billion, four hundred eleven million, two hundred one thousand, one hundred thirteen".

Divisors: 1 23 31 37 151 713 851 1147 3473 4681 5587 26381 107663 128501 173197 3983531 83142923 1912287229 2577430613 3076288151 12554581373 59280904099 70754627473 95364932681 288755371579 389192022563 464519510801 2193393451663 8951416518949 10683948748423 14400104834831 331202411201113