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101156016 = 24313162109
BaseRepresentation
bin1100000011110…
…00010010110000
321001100020222010
412001320102300
5201343443031
614012042520
72335545333
oct601702260
9231306863
10101156016
1152111015
1229a63440
1317c59a40
14d61261a
158d32246
hex60784b0

101156016 has 40 divisors (see below), whose sum is σ = 281422960. Its totient is φ = 31124736.

The previous prime is 101156009. The next prime is 101156021. The reversal of 101156016 is 610651101.

It is a junction number, because it is equal to n+sod(n) for n = 101155983 and 101156001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80431 + ... + 81678.

It is an arithmetic number, because the mean of its divisors is an integer number (7035574).

Almost surely, 2101156016 is an apocalyptic number.

101156016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101156016 is an abundant number, since it is smaller than the sum of its proper divisors (180266944).

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

101156016 is a wasteful number, since it uses less digits than its factorization.

101156016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162133 (or 162127 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 101156016 is about 10057.6347119986. The cubic root of 101156016 is about 465.9406188342.

The spelling of 101156016 in words is "one hundred one million, one hundred fifty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 162109 324218 486327 648436 972654 1296872 1945308 2107417 2593744 3890616 4214834 6322251 7781232 8429668 12644502 16859336 25289004 33718672 50578008 101156016