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151006635 = 32513258131
BaseRepresentation
bin10010000000000…
…10110110101011
3101112010221011100
421000002312223
5302124203020
622552332443
73512351403
oct1100026653
9345127140
10151006635
117826a57a
12426a4123
1325392150
14160ab803
15d3cca90
hex9002dab

151006635 has 24 divisors (see below), whose sum is σ = 281880144. Its totient is φ = 74341440.

The previous prime is 151006627. The next prime is 151006637. The reversal of 151006635 is 536600151.

It is a happy number.

151006635 is a `hidden beast` number, since 15 + 10 + 0 + 6 + 635 = 666.

It is not a de Polignac number, because 151006635 - 23 = 151006627 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 151006599 and 151006608.

It is not an unprimeable number, because it can be changed into a prime (151006637) 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 23 ways as a sum of consecutive naturals, for example, 128481 + ... + 129650.

It is an arithmetic number, because the mean of its divisors is an integer number (11745006).

Almost surely, 2151006635 is an apocalyptic number.

151006635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

151006635 is a deficient number, since it is larger than the sum of its proper divisors (130873509).

151006635 is a wasteful number, since it uses less digits than its factorization.

151006635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258155 (or 258152 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 151006635 is about 12288.4756988001. The cubic root of 151006635 is about 532.5152015762.

Adding to 151006635 its reverse (536600151), we get a palindrome (687606786).

The spelling of 151006635 in words is "one hundred fifty-one million, six thousand, six hundred thirty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 258131 774393 1290655 2323179 3355703 3871965 10067109 11615895 16778515 30201327 50335545 151006635