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131042433431 = 71314985911251
BaseRepresentation
bin111101000001010111…
…1001101100110010111
3110112020120110100110102
41322002233031212113
54121333330332211
6140111114044315
712316232206610
oct1720257154627
9415216410412
10131042433431
1150636045868
1221491a1969b
13c484b4b050
1464b1b00c07
15361e627a3b
hex1e82bcd997

131042433431 has 32 divisors (see below), whose sum is σ = 162568896000. Its totient is φ = 102857040000.

The previous prime is 131042433397. The next prime is 131042433443. The reversal of 131042433431 is 134334240131.

It is a happy number.

It is not a de Polignac number, because 131042433431 - 210 = 131042432407 is a prime.

It is a super-2 number, since 2×1310424334312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131042433394 and 131042433403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131042433491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11641556 + ... + 11652806.

It is an arithmetic number, because the mean of its divisors is an integer number (5080278000).

Almost surely, 2131042433431 is an apocalyptic number.

131042433431 is a deficient number, since it is larger than the sum of its proper divisors (31526462569).

131042433431 is a wasteful number, since it uses less digits than its factorization.

131042433431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12279.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 131042433431 its reverse (134334240131), we get a palindrome (265376673562).

The spelling of 131042433431 in words is "one hundred thirty-one billion, forty-two million, four hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 7 13 91 149 859 1043 1937 6013 11167 11251 13559 78169 78757 127991 146263 895937 1023841 1663883 1676399 9664609 11647181 11734793 21793187 67652263 125639917 152552309 879479419 1440026741 10080187187 18720347633 131042433431