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101116136 = 231117257263
BaseRepresentation
bin1100000011011…
…10100011101000
321001021020021002
412001232203220
5201341204021
614011134132
72335321142
oct601564350
9231236232
10101116136
1152094060
1229a44348
1317c44844
14d601c92
158d2550b
hex606e8e8

101116136 has 64 divisors (see below), whose sum is σ = 220682880. Its totient is φ = 42926080.

The previous prime is 101116133. The next prime is 101116151. The reversal of 101116136 is 631611101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101116133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384341 + ... + 384603.

It is an arithmetic number, because the mean of its divisors is an integer number (3448170).

Almost surely, 2101116136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101116136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110341440).

101116136 is an abundant number, since it is smaller than the sum of its proper divisors (119566744).

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

101116136 is a wasteful number, since it uses less digits than its factorization.

101116136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 101116136 is about 10055.6519430617. The cubic root of 101116136 is about 465.8793795886.

Adding to 101116136 its reverse (631611101), we get a palindrome (732727237).

The spelling of 101116136 in words is "one hundred one million, one hundred sixteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 257 263 374 514 526 748 1028 1052 1496 2056 2104 2827 2893 4369 4471 5654 5786 8738 8942 11308 11572 17476 17884 22616 23144 34952 35768 48059 49181 67591 96118 98362 135182 192236 196724 270364 384472 393448 540728 743501 1149047 1487002 2298094 2974004 4596188 5948008 9192376 12639517 25279034 50558068 101116136