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153288031 = 13172353569
BaseRepresentation
bin10010010001011…
…11110101011111
3101200102211122111
421020233311133
5303220204111
623113254451
73540632611
oct1110576537
9350384574
10153288031
1179588626
1243404427
13259b06a0
1416502db1
15d6cda21
hex922fd5f

153288031 has 32 divisors (see below), whose sum is σ = 186157440. Its totient is φ = 124760064.

The previous prime is 153288019. The next prime is 153288043. The reversal of 153288031 is 130882351.

It is an interprime number because it is at equal distance from previous prime (153288019) and next prime (153288043).

It is not a de Polignac number, because 153288031 - 213 = 153279839 is a prime.

It is a super-2 number, since 2×1532880312 = 46994440895713922, 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 = 153287984 and 153288002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153288001) 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 31 ways as a sum of consecutive naturals, for example, 269115 + ... + 269683.

It is an arithmetic number, because the mean of its divisors is an integer number (5817420).

Almost surely, 2153288031 is an apocalyptic number.

153288031 is a deficient number, since it is larger than the sum of its proper divisors (32869409).

153288031 is a wasteful number, since it uses less digits than its factorization.

153288031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675.

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 153288031 is about 12380.9543654760. The cubic root of 153288031 is about 535.1835408342.

The spelling of 153288031 in words is "one hundred fifty-three million, two hundred eighty-eight thousand, thirty-one".

Divisors: 1 13 17 23 53 221 299 391 569 689 901 1219 5083 7397 9673 11713 13087 15847 20723 30157 125749 170131 222479 269399 392041 512669 693611 2892227 6664697 9016943 11791387 153288031