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131153431331 = 1373199694481
BaseRepresentation
bin111101000100101011…
…0101000101100100011
3110112112022022121221202
41322021112220230203
54122100234300311
6140130121111415
712322050525626
oct1721126505443
9415468277852
10131153431331
115069276916a
122150302856b
13c4a1b42690
1464c2755dbd
153629250e3b
hex1e895a8b23

131153431331 has 16 divisors (see below), whose sum is σ = 143896670400. Its totient is φ = 118806082560.

The previous prime is 131153431307. The next prime is 131153431349. The reversal of 131153431331 is 133134351131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131153431331 - 230 = 130079689507 is a prime.

It is a super-2 number, since 2×1311534313312 (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 = 131153431294 and 131153431303.

It is not an unprimeable number, because it can be changed into a prime (131153431351) 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, 158390 + ... + 536091.

It is an arithmetic number, because the mean of its divisors is an integer number (8993541900).

Almost surely, 2131153431331 is an apocalyptic number.

131153431331 is a deficient number, since it is larger than the sum of its proper divisors (12743239069).

131153431331 is a wasteful number, since it uses less digits than its factorization.

131153431331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694766.

The product of its digits is 4860, while the sum is 29.

Adding to 131153431331 its reverse (133134351131), we get a palindrome (264287782462).

The spelling of 131153431331 in words is "one hundred thirty-one billion, one hundred fifty-three million, four hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 13 73 199 949 2587 14527 188851 694481 9028253 50697113 138201719 659062469 1796622347 10088725487 131153431331