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151114220010 = 2325131071207079
BaseRepresentation
bin1000110010111100011…
…1000000000111101010
3112110001102001202101100
42030233013000013222
54433440220020020
6153230530102230
713626515451045
oct2145707000752
9473042052340
10151114220010
11590a6046136
1225353a1a976
131133336b740
147457751c5c
153de6823a90
hex232f1c01ea

151114220010 has 96 divisors (see below), whose sum is σ = 427074560640. Its totient is φ = 36849677184.

The previous prime is 151114219979. The next prime is 151114220011. The reversal of 151114220010 is 10022411151.

151114220010 is a `hidden beast` number, since 1 + 511 + 142 + 2 + 0 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (151114220011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 478350 + ... + 728729.

It is an arithmetic number, because the mean of its divisors is an integer number (4448693340).

Almost surely, 2151114220010 is an apocalyptic number.

151114220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

151114220010 is an abundant number, since it is smaller than the sum of its proper divisors (275960340630).

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

151114220010 is a wasteful number, since it uses less digits than its factorization.

151114220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207212 (or 1207209 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 151114220010 its reverse (10022411151), we get a palindrome (161136631161).

The spelling of 151114220010 in words is "one hundred fifty-one billion, one hundred fourteen million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 107 117 130 195 214 234 321 390 535 585 642 963 1070 1170 1391 1605 1926 2782 3210 4173 4815 6955 8346 9630 12519 13910 20865 25038 41730 62595 125190 1207079 2414158 3621237 6035395 7242474 10863711 12070790 15692027 18106185 21727422 31384054 36212370 47076081 54318555 78460135 94152162 108637110 129157453 141228243 156920270 235380405 258314906 282456486 387472359 470760810 645787265 706141215 774944718 1162417077 1291574530 1412282430 1679046889 1937361795 2324834154 3358093778 3874723590 5037140667 5812085385 8395234445 10074281334 11624170770 15111422001 16790468890 25185703335 30222844002 50371406670 75557110005 151114220010