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151052112 = 24322813733
BaseRepresentation
bin10010000000011…
…01111101010000
3101112020020112200
421000031331100
5302132131422
622553323200
73512631111
oct1100157520
9345206480
10151052112
11782a0762
1242706500
13253a9a63
14160c0208
15d3db2ac
hex900df50

151052112 has 60 divisors (see below), whose sum is σ = 424354164. Its totient is φ = 50158080.

The previous prime is 151052107. The next prime is 151052113. The reversal of 151052112 is 211250151.

It can be written as a sum of positive squares in 2 ways, for example, as 92621376 + 58430736 = 9624^2 + 7644^2 .

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 (151052113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38598 + ... + 42330.

Almost surely, 2151052112 is an apocalyptic number.

151052112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151052112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212177082).

151052112 is an abundant number, since it is smaller than the sum of its proper divisors (273302052).

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

151052112 is a wasteful number, since it uses less digits than its factorization.

151052112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4028 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 151052112 is about 12290.3259517394. The cubic root of 151052112 is about 532.5686534508.

The spelling of 151052112 in words is "one hundred fifty-one million, fifty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 281 562 843 1124 1686 2248 2529 3372 3733 4496 5058 6744 7466 10116 11199 13488 14932 20232 22398 29864 33597 40464 44796 59728 67194 89592 134388 179184 268776 537552 1048973 2097946 3146919 4195892 6293838 8391784 9440757 12587676 16783568 18881514 25175352 37763028 50350704 75526056 151052112