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131133120031 = 17223252113721
BaseRepresentation
bin111101000100000100…
…1001001111000011111
3110112110220002201002101
41322020021021320133
54122030034320111
6140124113505531
712321413062204
oct1721011117037
9415426081071
10131133120031
1150682255a71
12214b82722a7
13c49a880664
1464bdb89cab
15362758cbc1
hex1e88249e1f

131133120031 has 16 divisors (see below), whose sum is σ = 139534956288. Its totient is φ = 122808268800.

The previous prime is 131133120017. The next prime is 131133120043. The reversal of 131133120031 is 130021331131.

It is a cyclic number.

It is not a de Polignac number, because 131133120031 - 233 = 122543185439 is a prime.

It is a super-2 number, since 2×1311331200312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131133119990 and 131133120008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131133120011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9550251 + ... + 9563971.

It is an arithmetic number, because the mean of its divisors is an integer number (8720934768).

Almost surely, 2131133120031 is an apocalyptic number.

131133120031 is a deficient number, since it is larger than the sum of its proper divisors (8401836257).

131133120031 is a wasteful number, since it uses less digits than its factorization.

131133120031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16482.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 131133120031 its reverse (130021331131), we get a palindrome (261154451162).

The spelling of 131133120031 in words is "one hundred thirty-one billion, one hundred thirty-three million, one hundred twenty thousand, thirty-one".

Divisors: 1 17 223 2521 3791 13721 42857 233257 562183 3059783 9557111 34590641 52016311 588040897 7713712943 131133120031