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153272031 = 31121971313
BaseRepresentation
bin10010010001010…
…11111011011111
3101200102000200220
421020223323133
5303214201111
623113052423
73540535143
oct1110537337
9350360626
10153272031
1179577600
12433b7113
13259a6313
14164db223
15d6c8e06
hex922bedf

153272031 has 48 divisors (see below), whose sum is σ = 240549120. Its totient is φ = 86486400.

The previous prime is 153272027. The next prime is 153272039. The reversal of 153272031 is 130272351.

It is not a de Polignac number, because 153272031 - 22 = 153272027 is a prime.

It is a super-2 number, since 2×1532720312 = 46984630973729922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153271992 and 153272010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153272039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 489531 + ... + 489843.

It is an arithmetic number, because the mean of its divisors is an integer number (5011440).

Almost surely, 2153272031 is an apocalyptic number.

153272031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

153272031 is a deficient number, since it is larger than the sum of its proper divisors (87277089).

153272031 is a wasteful number, since it uses less digits than its factorization.

153272031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 153272031 is about 12380.3081948714. The cubic root of 153272031 is about 535.1649196052.

The spelling of 153272031 in words is "one hundred fifty-three million, two hundred seventy-two thousand, thirty-one".

Divisors: 1 3 11 19 33 57 71 121 209 213 313 363 627 781 939 1349 2299 2343 3443 4047 5947 6897 8591 10329 14839 17841 22223 25773 37873 44517 65417 66669 113619 163229 196251 244453 422237 489687 719587 733359 1266711 2158761 2688983 4644607 8066949 13933821 51090677 153272031