Search a number
-
+
151312355001315 = 33510917211142469
BaseRepresentation
bin100010011001111000100111…
…001010111000001111100011
3201211202022122011221100021000
4202121320213022320033203
5124313100200340020230
61253451534122203043
743604646133206054
oct4231704712701743
9654668564840230
10151312355001315
1144238233769842
1214b79421653483
136657903512601
1429517b27d272b
151275eacd4ab60
hex899e272b83e3

151312355001315 has 64 divisors (see below), whose sum is σ = 269285533171200. Its totient is φ = 80614207094400.

The previous prime is 151312355001307. The next prime is 151312355001329. The reversal of 151312355001315 is 513100553213151.

151312355001315 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 12 + 3 + 5 + 500 + 131 + 5 = 666.

151312355001315 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 151312355001315 - 23 = 151312355001307 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 151312355001315.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1062000901 + ... + 1062143369.

It is an arithmetic number, because the mean of its divisors is an integer number (4207586455800).

Almost surely, 2151312355001315 is an apocalyptic number.

151312355001315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

151312355001315 is a deficient number, since it is larger than the sum of its proper divisors (117973178169885).

151312355001315 is a wasteful number, since it uses less digits than its factorization.

151312355001315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150785 (or 150779 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 36.

The spelling of 151312355001315 in words is "one hundred fifty-one trillion, three hundred twelve billion, three hundred fifty-five million, one thousand, three hundred fifteen".

Divisors: 1 3 5 9 15 27 45 135 1091 3273 5455 7211 9819 16365 21633 29457 36055 49095 64899 108165 142469 147285 194697 324495 427407 712345 973485 1282221 2137035 3846663 6411105 7867201 19233315 23601603 39336005 70804809 118008015 155433679 212414427 354024045 466301037 777168395 1027343959 1062072135 1398903111 2331505185 3082031877 4196709333 5136719795 6994515555 9246095631 15410159385 20983546665 27738286893 46230478155 138691434465 1120832259269 3362496777807 5604161296345 10087490333421 16812483889035 30262471000263 50437451667105 151312355001315