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132131002214024 = 231129167310032761
BaseRepresentation
bin11110000010110000100101…
…011100110110011010001000
3122022211121012201122010112122
4132002300211130312122020
5114304313243031322044
61145004051111030412
736555102260515622
oct3602604534663210
9568747181563478
10132131002214024
11391124971133a0
121299ba5936b408
135895b91524c18
14248b26327dc12
15104206d3a6dee
hex782c25736688

132131002214024 has 64 divisors (see below), whose sum is σ = 281261721686400. Its totient is φ = 57641290739200.

The previous prime is 132131002214021. The next prime is 132131002214027. The reversal of 132131002214024 is 420412200131231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132131002214021) and next prime (132131002214027).

It is a junction number, because it is equal to n+sod(n) for n = 132131002213984 and 132131002214002.

It is not an unprimeable number, because it can be changed into a prime (132131002214021) 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, 154590197 + ... + 155442564.

It is an arithmetic number, because the mean of its divisors is an integer number (4394714401350).

Almost surely, 2132131002214024 is an apocalyptic number.

It is an amenable number.

132131002214024 is an abundant number, since it is smaller than the sum of its proper divisors (149130719472376).

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

132131002214024 is a wasteful number, since it uses less digits than its factorization.

132131002214024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310032974 (or 310032970 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 132131002214024 its reverse (420412200131231), we get a palindrome (552543202345255).

The spelling of 132131002214024 in words is "one hundred thirty-two trillion, one hundred thirty-one billion, two million, two hundred fourteen thousand, twenty-four".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 167 232 319 334 638 668 1276 1336 1837 2552 3674 4843 7348 9686 14696 19372 38744 53273 106546 213092 426184 310032761 620065522 1240131044 2480262088 3410360371 6820720742 8990950069 13641441484 17981900138 27282882968 35963800276 51775471087 71927600552 98900450759 103550942174 197800901518 207101884348 395601803036 414203768696 569530181957 791203606072 1139060363914 1501488661523 2278120727828 3002977323046 4556241455656 6005954646092 12011909292184 16516375276753 33032750553506 66065501107012 132131002214024