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132121119 = 3135967857
BaseRepresentation
bin1111110000000…
…00001000011111
3100012121110002210
413320000020133
5232310333434
621035451503
73163003524
oct770001037
9305543083
10132121119
1168640609
12382b6b93
13214ac0a0
141379314b
15b8ebee9
hex7e0021f

132121119 has 32 divisors (see below), whose sum is σ = 196035840. Its totient is φ = 78642432.

The previous prime is 132121109. The next prime is 132121159. The reversal of 132121119 is 911121231.

It is a happy number.

It is not a de Polignac number, because 132121119 - 212 = 132117023 is a prime.

It is a super-2 number, since 2×1321211192 = 34911980171624322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132121095 and 132121104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132121109) 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, 153739 + ... + 154595.

It is an arithmetic number, because the mean of its divisors is an integer number (6126120).

Almost surely, 2132121119 is an apocalyptic number.

132121119 is a deficient number, since it is larger than the sum of its proper divisors (63914721).

132121119 is a wasteful number, since it uses less digits than its factorization.

132121119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999.

The product of its digits is 108, while the sum is 21.

The square root of 132121119 is about 11494.3951124015. The cubic root of 132121119 is about 509.3200203573.

The spelling of 132121119 in words is "one hundred thirty-two million, one hundred twenty-one thousand, one hundred nineteen".

Divisors: 1 3 13 39 59 67 177 201 767 857 871 2301 2571 2613 3953 11141 11859 33423 50563 51389 57419 151689 154167 172257 657319 746447 1971957 2239341 3387721 10163163 44040373 132121119