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151305102 = 232132412683
BaseRepresentation
bin10010000010010…
…11101110001110
3101112201002120200
421001023232032
5302213230402
623002554330
73515033514
oct1101135616
9345632520
10151305102
1178453843
12428089a6
1325467c60
14161484b4
15d43b21c
hex904bb8e

151305102 has 48 divisors (see below), whose sum is σ = 354642288. Its totient is φ = 46344960.

The previous prime is 151305067. The next prime is 151305107. The reversal of 151305102 is 201503151.

151305102 is a `hidden beast` number, since 151 + 3 + 0 + 510 + 2 = 666.

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 (151305107) 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 23 ways as a sum of consecutive naturals, for example, 55053 + ... + 57735.

It is an arithmetic number, because the mean of its divisors is an integer number (7388381).

Almost surely, 2151305102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151305102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177321144).

151305102 is an abundant number, since it is smaller than the sum of its proper divisors (203337186).

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

151305102 is a wasteful number, since it uses less digits than its factorization.

151305102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2942 counting only the distinct ones).

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

The square root of 151305102 is about 12300.6138871196. The cubic root of 151305102 is about 532.8658122516.

Adding to 151305102 its reverse (201503151), we get a palindrome (352808253).

The spelling of 151305102 in words is "one hundred fifty-one million, three hundred five thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 241 482 723 1446 2169 2683 3133 4338 5366 6266 8049 9399 16098 18798 24147 28197 34879 48294 56394 69758 104637 209274 313911 627822 646603 1293206 1939809 3879618 5819427 8405839 11638854 16811678 25217517 50435034 75652551 151305102