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120513132 = 223225113337
BaseRepresentation
bin1110010111011…
…10001001101100
322101202200221100
413023232021230
5221322410012
615543003100
72662226145
oct713561154
9271680840
10120513132
1162032333
1234439490
131bc7665c
1412010acc
15a8a78dc
hex72ee26c

120513132 has 36 divisors (see below), whose sum is σ = 305867016. Its totient is φ = 40008000.

The previous prime is 120513103. The next prime is 120513161. The reversal of 120513132 is 231315021.

120513132 is a `hidden beast` number, since 1 + 20 + 513 + 132 = 666.

It is an interprime number because it is at equal distance from previous prime (120513103) and next prime (120513161).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2368 + ... + 15704.

It is an arithmetic number, because the mean of its divisors is an integer number (8496306).

Almost surely, 2120513132 is an apocalyptic number.

120513132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120513132 is an abundant number, since it is smaller than the sum of its proper divisors (185353884).

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

120513132 is a wasteful number, since it uses less digits than its factorization.

120513132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13598 (or 13593 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 120513132 is about 10977.8473299641. The cubic root of 120513132 is about 493.9444664308.

Adding to 120513132 its reverse (231315021), we get a palindrome (351828153).

The spelling of 120513132 in words is "one hundred twenty million, five hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 251 502 753 1004 1506 2259 3012 4518 9036 13337 26674 40011 53348 80022 120033 160044 240066 480132 3347587 6695174 10042761 13390348 20085522 30128283 40171044 60256566 120513132