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113024002120 = 2353776367569
BaseRepresentation
bin110100101000011000…
…0010110100001001000
3101210201211121012102121
41221100300112201020
53322433121031440
6123531132341024
711110561111111
oct1512060264110
9353654535377
10113024002120
1143a2a114717
1219aa3614774
13a872b66383
145682a77208
152e1782d34a
hex1a50c16848

113024002120 has 32 divisors (see below), whose sum is σ = 261177089400. Its totient is φ = 43987719168.

The previous prime is 113024002099. The next prime is 113024002123. The reversal of 113024002120 is 21200420311.

It can be written as a sum of positive squares in 4 ways, for example, as 110946283396 + 2077718724 = 333086^2 + 45582^2 .

It is a junction number, because it is equal to n+sod(n) for n = 113024002094 and 113024002103.

It is not an unprimeable number, because it can be changed into a prime (113024002123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38182305 + ... + 38185264.

Almost surely, 2113024002120 is an apocalyptic number.

113024002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113024002120 is an abundant number, since it is smaller than the sum of its proper divisors (148153087280).

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

113024002120 is a wasteful number, since it uses less digits than its factorization.

113024002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76367617 (or 76367613 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 113024002120 its reverse (21200420311), we get a palindrome (134224422431).

The spelling of 113024002120 in words is "one hundred thirteen billion, twenty-four million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 76367569 152735138 305470276 381837845 610940552 763675690 1527351380 2825600053 3054702760 5651200106 11302400212 14128000265 22604800424 28256000530 56512001060 113024002120