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150086101 = 11210112281
BaseRepresentation
bin10001111001000…
…10000111010101
3101110102011102111
420330202013111
5301410223401
622520511021
73501465544
oct1074420725
9343364374
10150086101
11777a0a00
124231b471
132512c159
1415d0c15b
15d299e51
hex8f221d5

150086101 has 12 divisors (see below), whose sum is σ = 166617612. Its totient is φ = 135080000.

The previous prime is 150086099. The next prime is 150086113. The reversal of 150086101 is 101680051.

It can be written as a sum of positive squares in 2 ways, for example, as 138532900 + 11553201 = 11770^2 + 3399^2 .

It is not a de Polignac number, because 150086101 - 21 = 150086099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150086401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6081 + ... + 18361.

It is an arithmetic number, because the mean of its divisors is an integer number (13884801).

Almost surely, 2150086101 is an apocalyptic number.

150086101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

150086101 is a deficient number, since it is larger than the sum of its proper divisors (16531511).

150086101 is a wasteful number, since it uses less digits than its factorization.

150086101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12404 (or 12393 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 22.

The square root of 150086101 is about 12250.9632682496. The cubic root of 150086101 is about 531.4309273298.

The spelling of 150086101 in words is "one hundred fifty million, eighty-six thousand, one hundred one".

Divisors: 1 11 101 121 1111 12221 12281 135091 1240381 1486001 13644191 150086101