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131012211133 = 9771069125441
BaseRepresentation
bin111101000000011101…
…1111011000110111101
3110112011110120220021001
41322000323323012331
54121303111224013
6140104114210301
712315414264136
oct1720073730675
9415143526231
10131012211133
115061aa83361
1221483883991
13c47b7c8b2b
1464abab4c8d
15361bb57ddd
hex1e80efb1bd

131012211133 has 8 divisors (see below), whose sum is σ = 131270035320. Its totient is φ = 130754641920.

The previous prime is 131012211097. The next prime is 131012211193. The reversal of 131012211133 is 331112210131.

It can be written as a sum of positive squares in 4 ways, for example, as 24492876004 + 106519335129 = 156502^2 + 326373^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131012211133 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131012211133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012211193) 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, 981693 + ... + 1107133.

It is an arithmetic number, because the mean of its divisors is an integer number (16408754415).

Almost surely, 2131012211133 is an apocalyptic number.

It is an amenable number.

131012211133 is a deficient number, since it is larger than the sum of its proper divisors (257824187).

131012211133 is a wasteful number, since it uses less digits than its factorization.

131012211133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127487.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 131012211133 its reverse (331112210131), we get a palindrome (462124421264).

The spelling of 131012211133 in words is "one hundred thirty-one billion, twelve million, two hundred eleven thousand, one hundred thirty-three".

Divisors: 1 977 1069 125441 1044413 122555857 134096429 131012211133