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152313105 = 3577120431
BaseRepresentation
bin10010001010000…
…01110100010001
3101121121022022010
421011001310101
5302443004410
623040333133
73526432350
oct1105016421
9347538263
10152313105
1178a820aa
12430141a9
132572b9c9
141632b997
15d589c20
hex9141d11

152313105 has 32 divisors (see below), whose sum is σ = 282451968. Its totient is φ = 68644800.

The previous prime is 152313103. The next prime is 152313131. The reversal of 152313105 is 501313251.

It is not a de Polignac number, because 152313105 - 21 = 152313103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (152313103) 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, 2761 + ... + 17670.

It is an arithmetic number, because the mean of its divisors is an integer number (8826624).

Almost surely, 2152313105 is an apocalyptic number.

152313105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152313105 is a deficient number, since it is larger than the sum of its proper divisors (130138863).

152313105 is a wasteful number, since it uses less digits than its factorization.

152313105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20517.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 152313105 is about 12341.5195579799. The cubic root of 152313105 is about 534.0465213577.

Adding to 152313105 its reverse (501313251), we get a palindrome (653626356).

It can be divided in two parts, 15231 and 3105, that added together give a triangular number (18336 = T191).

The spelling of 152313105 in words is "one hundred fifty-two million, three hundred thirteen thousand, one hundred five".

Divisors: 1 3 5 7 15 21 35 71 105 213 355 497 1065 1491 2485 7455 20431 61293 102155 143017 306465 429051 715085 1450601 2145255 4351803 7253005 10154207 21759015 30462621 50771035 152313105