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152123531 = 7172292593
BaseRepresentation
bin10010001000100…
…11100010001011
3101121020200020212
421010103202023
5302420423111
623032311335
73525012560
oct1104234213
9347220225
10152123531
117896272a
1242b4254b
1325693631
14162bc867
15d54d98b
hex911388b

152123531 has 24 divisors (see below), whose sum is σ = 191125920. Its totient is φ = 118444032.

The previous prime is 152123527. The next prime is 152123581. The reversal of 152123531 is 135321251.

It is a happy number.

It is not a de Polignac number, because 152123531 - 22 = 152123527 is a prime.

It is a super-2 number, since 2×1521235312 = 46283137367815922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 152123497 and 152123506.

It is not an unprimeable number, because it can be changed into a prime (152123581) 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 23 ways as a sum of consecutive naturals, for example, 57371 + ... + 59963.

It is an arithmetic number, because the mean of its divisors is an integer number (7963580).

Almost surely, 2152123531 is an apocalyptic number.

152123531 is a deficient number, since it is larger than the sum of its proper divisors (39002389).

152123531 is a wasteful number, since it uses less digits than its factorization.

152123531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2646 counting only the distinct ones).

The product of its digits is 900, while the sum is 23.

The square root of 152123531 is about 12333.8368320649. The cubic root of 152123531 is about 533.8248653001.

Adding to 152123531 its reverse (135321251), we get a palindrome (287444782).

It can be divided in two parts, 1521 and 23531, that added together give a palindrome (25052).

The spelling of 152123531 in words is "one hundred fifty-two million, one hundred twenty-three thousand, five hundred thirty-one".

Divisors: 1 7 17 29 119 203 289 493 2023 2593 3451 8381 18151 44081 58667 75197 308567 526379 749377 1278349 5245639 8948443 21731933 152123531