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1131213110031 = 34231135373449
BaseRepresentation
bin10000011101100001100…
…011100011101100001111
311000010212012001001020000
4100131201203203230033
5122013211024010111
62223401102455343
7144504341533224
oct20354143435417
94003765031200
101131213110031
113a68213455a4
121632a0b94553
13828995a4b54
143ca72a9594b
151e65ad54c56
hex107618e3b0f

1131213110031 has 40 divisors (see below), whose sum is σ = 1778912863200. Its totient is φ = 714969497088.

The previous prime is 1131213110011. The next prime is 1131213110051. The reversal of 1131213110031 is 1300113121311.

1131213110031 is a `hidden beast` number, since 11 + 312 + 1 + 311 + 0 + 0 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (1131213110011) and next prime (1131213110051).

It is not a de Polignac number, because 1131213110031 - 219 = 1131212585743 is a prime.

It is a super-2 number, since 2×11312131100312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1131213109986 and 1131213110013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131213110011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2476206 + ... + 2897243.

It is an arithmetic number, because the mean of its divisors is an integer number (44472821580).

Almost surely, 21131213110031 is an apocalyptic number.

1131213110031 is a deficient number, since it is larger than the sum of its proper divisors (647699753169).

1131213110031 is a wasteful number, since it uses less digits than its factorization.

1131213110031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5373597 (or 5373588 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1131213110031 its reverse (1300113121311), we get a palindrome (2431326231342).

The spelling of 1131213110031 in words is "one trillion, one hundred thirty-one billion, two hundred thirteen million, one hundred ten thousand, thirty-one".

Divisors: 1 3 9 23 27 69 81 113 207 339 621 1017 1863 2599 3051 7797 9153 23391 70173 210519 5373449 16120347 48361041 123589327 145083123 370767981 435249369 607199737 1112303943 1821599211 3336911829 5464797633 10010735487 13965593951 16394392899 41896781853 49183178697 125690345559 377071036677 1131213110031