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151005141 = 34719107131
BaseRepresentation
bin10010000000000…
…10011111010101
3101112010212010000
421000002133111
5302124131031
622552321513
73512344140
oct1100023725
9345125100
10151005141
1178269441
12426a3299
1325391571
14160ab057
15d3cc3e6
hex90027d5

151005141 has 80 divisors (see below), whose sum is σ = 275996160. Its totient is φ = 80364960.

The previous prime is 151005133. The next prime is 151005161. The reversal of 151005141 is 141500151.

It is a happy number.

151005141 is a `hidden beast` number, since 151 + 0 + 0 + 514 + 1 = 666.

It is not a de Polignac number, because 151005141 - 23 = 151005133 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151005161) 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 79 ways as a sum of consecutive naturals, for example, 1152646 + ... + 1152776.

It is an arithmetic number, because the mean of its divisors is an integer number (3449952).

Almost surely, 2151005141 is an apocalyptic number.

It is an amenable number.

151005141 is a deficient number, since it is larger than the sum of its proper divisors (124991019).

151005141 is a wasteful number, since it uses less digits than its factorization.

151005141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 267 counting only the distinct ones).

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

The square root of 151005141 is about 12288.4149099874. The cubic root of 151005141 is about 532.5134454054.

Adding to 151005141 its reverse (141500151), we get a palindrome (292505292).

The spelling of 151005141 in words is "one hundred fifty-one million, five thousand, one hundred forty-one".

Divisors: 1 3 7 9 19 21 27 57 63 81 107 131 133 171 189 321 393 399 513 567 749 917 963 1179 1197 1539 2033 2247 2489 2751 2889 3537 3591 6099 6741 7467 8253 8667 10611 10773 14017 14231 17423 18297 20223 22401 24759 42051 42693 52269 54891 60669 67203 74277 98119 126153 128079 156807 164673 201609 266323 294357 378459 384237 470421 798969 883071 1135377 1152711 1411263 1864261 2396907 2649213 5592783 7190721 7947639 16778349 21572163 50335047 151005141