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113064062500 = 22582692
BaseRepresentation
bin110100101001100100…
…1001010111000100100
3101210211121222110221101
41221103021022320210
53323023400000000
6123535123125444
711111555450164
oct1512311127044
9353747873841
10113064062500
1143a4a796674
1219ab4b13884
13a87b25153c
1456881045a4
152e1b0e2e6a
hex1a5324ae24

113064062500 has 81 divisors (see below), whose sum is σ = 248250361177. Its totient is φ = 45057500000.

The previous prime is 113064062483. The next prime is 113064062521. The reversal of 113064062500 is 5260460311.

The square root of 113064062500 is 336250.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 10402776036 + 102661286464 = 101994^2 + 320408^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 420312366 + ... + 420312634.

Almost surely, 2113064062500 is an apocalyptic number.

113064062500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113064062500 is the 336250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113064062500

113064062500 is an abundant number, since it is smaller than the sum of its proper divisors (135186298677).

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

113064062500 is an frugal number, since it uses more digits than its factorization.

113064062500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 113064062500 in words is "one hundred thirteen billion, sixty-four million, sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 269 500 538 625 1076 1250 1345 2500 2690 3125 5380 6250 6725 12500 13450 15625 26900 31250 33625 62500 67250 72361 78125 134500 144722 156250 168125 289444 312500 336250 361805 390625 672500 723610 781250 840625 1447220 1562500 1681250 1809025 3362500 3618050 4203125 7236100 8406250 9045125 16812500 18090250 21015625 36180500 42031250 45225625 84062500 90451250 105078125 180902500 210156250 226128125 420312500 452256250 904512500 1130640625 2261281250 4522562500 5653203125 11306406250 22612812500 28266015625 56532031250 113064062500