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150585013 = 192417133
BaseRepresentation
bin10001111100110…
…11111010110101
3101111100111210201
420332123322311
5302022210023
622535320501
73505644235
oct1076337265
9344314721
10150585013
1178001827
1242520131
1325275277
1415ddbcc5
15d347bad
hex8f9beb5

150585013 has 6 divisors (see below), whose sum is σ = 158928054. Its totient is φ = 142659144.

The previous prime is 150585007. The next prime is 150585037. The reversal of 150585013 is 310585051.

It can be written as a sum of positive squares in only one way, i.e., 118526769 + 32058244 = 10887^2 + 5662^2 .

It is a de Polignac number, because none of the positive numbers 2k-150585013 is a prime.

It is a super-2 number, since 2×1505850132 = 45351692280420338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150585053) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 208206 + ... + 208927.

It is an arithmetic number, because the mean of its divisors is an integer number (26488009).

Almost surely, 2150585013 is an apocalyptic number.

It is an amenable number.

150585013 is a deficient number, since it is larger than the sum of its proper divisors (8343041).

150585013 is an equidigital number, since it uses as much as digits as its factorization.

150585013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417171 (or 417152 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 28.

The square root of 150585013 is about 12271.3085284333. The cubic root of 150585013 is about 532.0191319650.

The spelling of 150585013 in words is "one hundred fifty million, five hundred eighty-five thousand, thirteen".

Divisors: 1 19 361 417133 7925527 150585013