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132121131 = 32371149181
BaseRepresentation
bin1111110000000…
…00001000101011
3100012121110010020
413320000020223
5232310334011
621035451523
73163003542
oct770001053
9305543106
10132121131
116864061a
12382b6ba3
13214ac0ac
1413793159
15b8ec006
hex7e0022b

132121131 has 32 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 82051200.

The previous prime is 132121109. The next prime is 132121159. The reversal of 132121131 is 131121231.

It is a happy number.

It is not a de Polignac number, because 132121131 - 221 = 130023979 is a prime.

It is a super-2 number, since 2×1321211312 = 34911986513438322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132121131.

It is not an unprimeable number, because it can be changed into a prime (132121531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 729861 + ... + 730041.

It is an arithmetic number, because the mean of its divisors is an integer number (5896800).

Almost surely, 2132121131 is an apocalyptic number.

132121131 is a deficient number, since it is larger than the sum of its proper divisors (56576469).

132121131 is a wasteful number, since it uses less digits than its factorization.

132121131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427.

The product of its digits is 36, while the sum is 15.

The square root of 132121131 is about 11494.3956343951. The cubic root of 132121131 is about 509.3200357770.

Adding to 132121131 its reverse (131121231), we get a palindrome (263242362).

The spelling of 132121131 in words is "one hundred thirty-two million, one hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 23 69 71 149 181 213 447 543 1633 3427 4163 4899 10281 10579 12489 12851 26969 31737 38553 80907 243317 295573 620287 729951 886719 1860861 1914799 5744397 44040377 132121131