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151305012 = 223228114957
BaseRepresentation
bin10010000010010…
…11101100110100
3101112201002110100
421001023230310
5302213230022
623002554100
73515033325
oct1101135464
9345632410
10151305012
1178453771
1242808930
1325467bc1
141614844c
15d43b1ac
hex904bb34

151305012 has 36 divisors (see below), whose sum is σ = 383852196. Its totient is φ = 50252160.

The previous prime is 151305001. The next prime is 151305013. The reversal of 151305012 is 210503151.

It can be written as a sum of positive squares in 2 ways, for example, as 69655716 + 81649296 = 8346^2 + 9036^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151305013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2638 + ... + 17594.

It is an arithmetic number, because the mean of its divisors is an integer number (10662561).

Almost surely, 2151305012 is an apocalyptic number.

151305012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

151305012 is an abundant number, since it is smaller than the sum of its proper divisors (232547184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151305012 is a wasteful number, since it uses less digits than its factorization.

151305012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15248 (or 15243 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 151305012 is about 12300.6102287651. The cubic root of 151305012 is about 532.8657065977.

Adding to 151305012 its reverse (210503151), we get a palindrome (361808163).

The spelling of 151305012 in words is "one hundred fifty-one million, three hundred five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 281 562 843 1124 1686 2529 3372 5058 10116 14957 29914 44871 59828 89742 134613 179484 269226 538452 4202917 8405834 12608751 16811668 25217502 37826253 50435004 75652506 151305012