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151415320150 = 252371071395503
BaseRepresentation
bin1000110100000100001…
…1100110111001010110
3112110211101122020010101
42031001003212321112
54440044310221100
6153320443444314
713640132662033
oct2150103467126
9473741566111
10151415320150
1159240001126
122541882669a
13113808631c3
14748573038a
153e12e9d86a
hex23410e6e56

151415320150 has 96 divisors (see below), whose sum is σ = 294101176320. Its totient is φ = 57947944320.

The previous prime is 151415320123. The next prime is 151415320169. The reversal of 151415320150 is 51023514151.

151415320150 is a nontrivial binomial coefficient, being equal to C(550301, 2).

It is a super-2 number, since 2×1514153201502 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 27512299 + ... + 27517801.

It is an arithmetic number, because the mean of its divisors is an integer number (3063553920).

Almost surely, 2151415320150 is an apocalyptic number.

151415320150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

151415320150 is the 550300-th triangular number.

151415320150 is the 183434-th centered nonagonal number.

151415320150 is a deficient number, since it is larger than the sum of its proper divisors (142685856170).

151415320150 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (151415320149) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (5798).

151415320150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5798 (or 5793 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 28.

The spelling of 151415320150 in words is "one hundred fifty-one billion, four hundred fifteen million, three hundred twenty thousand, one hundred fifty".

Divisors: 1 2 5 10 25 37 50 74 107 139 185 214 278 370 535 695 925 1070 1390 1850 2675 3475 3959 5143 5350 5503 6950 7918 10286 11006 14873 19795 25715 27515 29746 39590 51430 55030 74365 98975 128575 137575 148730 197950 203611 257150 275150 371825 407222 550301 588821 743650 764917 1018055 1100602 1177642 1529834 2036110 2751505 2944105 3824585 5090275 5503010 5888210 7649170 10180550 13757525 14720525 19122925 21786377 27515050 28301929 29441050 38245850 43572754 56603858 81846119 108931885 141509645 163692238 217863770 283019290 409230595 544659425 707548225 818461190 1089318850 1415096450 2046152975 3028306403 4092305950 6056612806 15141532015 30283064030 75707660075 151415320150