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201542225115 = 357211129119309
BaseRepresentation
bin1011101110110011011…
…0100100110011011011
3201021012211020211122010
42323230312210303123
511300224302200430
6232330501201003
720363255435100
oct2735466446333
9637184224563
10201542225115
1178523371810
1233088100163
131600b9a6a0a
149a7cc56aa7
155398a5ecb0
hex2eecda4cdb

201542225115 has 96 divisors (see below), whose sum is σ = 409554904320. Its totient is φ = 83688595200.

The previous prime is 201542225047. The next prime is 201542225117. The reversal of 201542225115 is 511522245102.

It is not a de Polignac number, because 201542225115 - 29 = 201542224603 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201542225117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10428081 + ... + 10447389.

It is an arithmetic number, because the mean of its divisors is an integer number (4266196920).

Almost surely, 2201542225115 is an apocalyptic number.

201542225115 is an abundant number, since it is smaller than the sum of its proper divisors (208012679205).

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

201542225115 is a wasteful number, since it uses less digits than its factorization.

201542225115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20633 (or 20626 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 201542225115 in words is "two hundred one billion, five hundred forty-two million, two hundred twenty-five thousand, one hundred fifteen".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 231 245 385 539 735 1155 1291 1617 2695 3873 6455 8085 9037 14201 19309 19365 27111 42603 45185 57927 63259 71005 96545 99407 135163 135555 189777 212399 213015 289635 298221 316295 405489 497035 637197 675815 695849 946141 948885 1061995 1486793 1491105 2027445 2087547 2838423 3185985 3479245 4460379 4730705 7433965 10407551 10437735 14192115 22301895 24927919 31222653 52037755 74783757 124639595 156113265 174495433 274207109 373918785 523486299 822621327 872477165 1221468031 1371035545 1919449763 2617431495 3664404093 4113106635 5758349289 6107340155 9597248815 13436148341 18322020465 28791746445 40308445023 67180741705 201542225115