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101157070 = 2572434801
BaseRepresentation
bin1100000011110…
…00100011001110
321001100022102011
412001320203032
5201344011240
614012051434
72335551400
oct601704316
9231308364
10101157070
1152111893
1229a63b7a
1317c5a371
14d612b70
158d326ea
hex60788ce

101157070 has 48 divisors (see below), whose sum is σ = 216781488. Its totient is φ = 33868800.

The previous prime is 101157053. The next prime is 101157071. The reversal of 101157070 is 70751101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101157071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18670 + ... + 23470.

It is an arithmetic number, because the mean of its divisors is an integer number (4516281).

Almost surely, 2101157070 is an apocalyptic number.

101157070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101157070 is an abundant number, since it is smaller than the sum of its proper divisors (115624418).

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

101157070 is a wasteful number, since it uses less digits than its factorization.

101157070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4865 (or 4858 counting only the distinct ones).

The product of its (nonzero) digits is 245, while the sum is 22.

The square root of 101157070 is about 10057.6871098678. The cubic root of 101157070 is about 465.9422371255.

It can be divided in two parts, 1011 and 57070, that added together give a square (58081 = 2412).

The spelling of 101157070 in words is "one hundred one million, one hundred fifty-seven thousand, seventy".

Divisors: 1 2 5 7 10 14 35 43 49 70 86 98 215 245 301 430 490 602 1505 2107 3010 4214 4801 9602 10535 21070 24005 33607 48010 67214 168035 206443 235249 336070 412886 470498 1032215 1176245 1445101 2064430 2352490 2890202 7225505 10115707 14451010 20231414 50578535 101157070