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101364164 = 2211192937113
BaseRepresentation
bin1100000101010…
…11000111000100
321001201211111022
412002223013010
5201422123124
614020330312
72340403226
oct602530704
9231654438
10101364164
1152243440
1229b43998
13180006c5
14d668416
158d73c5e
hex60ab1c4

101364164 has 96 divisors (see below), whose sum is σ = 218332800. Its totient is φ = 40642560.

The previous prime is 101364139. The next prime is 101364167. The reversal of 101364164 is 461463101.

It is not an unprimeable number, because it can be changed into a prime (101364167) 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 31 ways as a sum of consecutive naturals, for example, 896972 + ... + 897084.

It is an arithmetic number, because the mean of its divisors is an integer number (2274300).

Almost surely, 2101364164 is an apocalyptic number.

It is an amenable number.

101364164 is an abundant number, since it is smaller than the sum of its proper divisors (116968636).

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

101364164 is a wasteful number, since it uses less digits than its factorization.

101364164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 101364164 is about 10067.9771553177. The cubic root of 101364164 is about 466.2599874234.

The spelling of 101364164 in words is "one hundred one million, three hundred sixty-four thousand, one hundred sixty-four".

Divisors: 1 2 4 11 19 22 29 37 38 44 58 74 76 113 116 148 209 226 319 407 418 452 551 638 703 814 836 1073 1102 1243 1276 1406 1628 2146 2147 2204 2486 2812 3277 4181 4292 4294 4972 6061 6554 7733 8362 8588 11803 12122 13108 15466 16724 20387 23606 23617 24244 30932 36047 40774 45991 47212 47234 62263 72094 79439 81548 91982 94468 121249 124526 144188 158878 183964 224257 242498 249052 317756 448514 484996 684893 873829 897028 1333739 1369786 1747658 2303731 2667478 2739572 3495316 4607462 5334956 9214924 25341041 50682082 101364164