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101160048 = 24311283677
BaseRepresentation
bin1100000011110…
…01010001110000
321001100110111110
412001321101300
5201344110143
614012113320
72335563153
oct601712160
9231313443
10101160048
1152114050
1229a65840
1317c5b822
14d613c9a
158d33533
hex6079470

101160048 has 80 divisors (see below), whose sum is σ = 286517376. Its totient is φ = 30501120.

The previous prime is 101160041. The next prime is 101160061. The reversal of 101160048 is 840061101.

It is a super-2 number, since 2×1011600482 = 20466710622724608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101160041) 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 15 ways as a sum of consecutive naturals, for example, 149086 + ... + 149762.

Almost surely, 2101160048 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 101160048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143258688).

101160048 is an abundant number, since it is smaller than the sum of its proper divisors (185357328).

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

101160048 is a wasteful number, since it uses less digits than its factorization.

101160048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 101160048 is about 10057.8351547438. The cubic root of 101160048 is about 465.9468094287.

The spelling of 101160048 in words is "one hundred one million, one hundred sixty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 283 528 566 677 849 1132 1354 1698 2031 2264 2708 3113 3396 4062 4528 5416 6226 6792 7447 8124 9339 10832 12452 13584 14894 16248 18678 22341 24904 29788 32496 37356 44682 49808 59576 74712 89364 119152 149424 178728 191591 357456 383182 574773 766364 1149546 1532728 2107501 2299092 3065456 4215002 4598184 6322503 8430004 9196368 12645006 16860008 25290012 33720016 50580024 101160048