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101364116 = 22733110937
BaseRepresentation
bin1100000101010…
…11000110010100
321001201211102112
412002223012110
5201422122431
614020330152
72340403130
oct602530624
9231654375
10101364116
11522433a7
1229b43958
1318000689
14d6683c0
158d73c2b
hex60ab194

101364116 has 24 divisors (see below), whose sum is σ = 203359296. Its totient is φ = 43306560.

The previous prime is 101364103. The next prime is 101364121. The reversal of 101364116 is 611463101.

It is a super-2 number, since 2×1013641162 = 20549368024922912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101364091 and 101364100.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3800 + ... + 14736.

It is an arithmetic number, because the mean of its divisors is an integer number (8473304).

Almost surely, 2101364116 is an apocalyptic number.

It is an amenable number.

101364116 is an abundant number, since it is smaller than the sum of its proper divisors (101995180).

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

101364116 is a wasteful number, since it uses less digits than its factorization.

101364116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11279 (or 11277 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 101364116 is about 10067.9747715218. The cubic root of 101364116 is about 466.2599138258.

The spelling of 101364116 in words is "one hundred one million, three hundred sixty-four thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 331 662 1324 2317 4634 9268 10937 21874 43748 76559 153118 306236 3620147 7240294 14480588 25341029 50682058 101364116