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131021132022 = 232116411032329
BaseRepresentation
bin111101000000101110…
…1111101000011110110
3110112012002101010102100
41322001131331003312
54121312402211042
6140105033322530
712315553150434
oct1720135750366
9415162333370
10131021132022
11506250167a0
1221486866446
13c480600471
1464acd57d54
15361c81b24c
hex1e8177d0f6

131021132022 has 48 divisors (see below), whose sum is σ = 310169742480. Its totient is φ = 39641395200.

The previous prime is 131021131957. The next prime is 131021132029. The reversal of 131021132022 is 220231120131.

131021132022 is a `hidden beast` number, since 1 + 310 + 2 + 11 + 320 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131021131986 and 131021132004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131021132029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389247 + ... + 643082.

It is an arithmetic number, because the mean of its divisors is an integer number (6461869635).

Almost surely, 2131021132022 is an apocalyptic number.

131021132022 is an abundant number, since it is smaller than the sum of its proper divisors (179148610458).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131021132022 is a wasteful number, since it uses less digits than its factorization.

131021132022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032989 (or 1032986 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131021132022 its reverse (220231120131), we get a palindrome (351252252153).

The spelling of 131021132022 in words is "one hundred thirty-one billion, twenty-one million, one hundred thirty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 641 1282 1923 3846 5769 7051 11538 14102 21153 42306 63459 126918 1032329 2064658 3096987 6193974 9290961 11355619 18581922 22711238 34066857 68133714 102200571 204401142 661722889 1323445778 1985168667 3970337334 5955506001 7278951779 11911012002 14557903558 21836855337 43673710674 65510566011 131021132022