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101113024 = 2629157347
BaseRepresentation
bin1100000011011…
…01110011000000
321001021001222211
412001231303000
5201341104044
614011111504
72335306105
oct601556300
9231231884
10101113024
1152091791
1229a42594
1317c432bc
14d600aac
158d24634
hex606dcc0

101113024 has 56 divisors (see below), whose sum is σ = 209489040. Its totient is φ = 48362496.

The previous prime is 101113021. The next prime is 101113043. The reversal of 101113024 is 420311101.

It is a junction number, because it is equal to n+sod(n) for n = 101112995 and 101113013.

It is not an unprimeable number, because it can be changed into a prime (101113021) 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 7 ways as a sum of consecutive naturals, for example, 291219 + ... + 291565.

Almost surely, 2101113024 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 101113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104744520).

101113024 is an abundant number, since it is smaller than the sum of its proper divisors (108376016).

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

101113024 is a wasteful number, since it uses less digits than its factorization.

101113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 101113024 is about 10055.4972030228. The cubic root of 101113024 is about 465.8746001619.

Adding to 101113024 its reverse (420311101), we get a palindrome (521424125).

The spelling of 101113024 in words is "one hundred one million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 157 232 314 347 464 628 694 928 1256 1388 1856 2512 2776 4553 5024 5552 9106 10048 10063 11104 18212 20126 22208 36424 40252 54479 72848 80504 108958 145696 161008 217916 291392 322016 435832 644032 871664 1579891 1743328 3159782 3486656 6319564 12639128 25278256 50556512 101113024