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132121311 = 3741173887
BaseRepresentation
bin1111110000000…
…00001011011111
3100012121110100220
413320000023133
5232310340221
621035452423
73163004220
oct770001337
9305543326
10132121311
1168640773
12382b7113
13214ac1ba
1413793247
15b8ec0c6
hex7e002df

132121311 has 32 divisors (see below), whose sum is σ = 207664128. Its totient is φ = 73148160.

The previous prime is 132121271. The next prime is 132121343. The reversal of 132121311 is 113121231.

It is a happy number.

It is not a de Polignac number, because 132121311 - 213 = 132113119 is a prime.

It is a super-4 number, since 4×1321213114 (a number of 34 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132121391) 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, 148510 + ... + 149396.

It is an arithmetic number, because the mean of its divisors is an integer number (6489504).

Almost surely, 2132121311 is an apocalyptic number.

132121311 is a deficient number, since it is larger than the sum of its proper divisors (75542817).

132121311 is a wasteful number, since it uses less digits than its factorization.

132121311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111.

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

The square root of 132121311 is about 11494.4034642951. The cubic root of 132121311 is about 509.3202670738.

Adding to 132121311 its reverse (113121231), we get a palindrome (245242542).

The spelling of 132121311 in words is "one hundred thirty-two million, one hundred twenty-one thousand, three hundred eleven".

Divisors: 1 3 7 21 41 123 173 287 519 861 887 1211 2661 3633 6209 7093 18627 21279 36367 49651 109101 148953 153451 254569 460353 763707 1074157 3222471 6291491 18874473 44040437 132121311