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113312500 = 22567237
BaseRepresentation
bin1101100000100…
…00001011110100
321220012212112021
412300100023310
5213002000000
615124402524
72544066100
oct660201364
9256185467
10113312500
1158a643a4
1231b46444
131a625022
1411098900
159e3411a
hex6c102f4

113312500 has 126 divisors (see below), whose sum is σ = 296129022. Its totient is φ = 37800000.

The previous prime is 113312491. The next prime is 113312501. The reversal of 113312500 is 5213311.

It can be written as a sum of positive squares in 7 ways, for example, as 109077136 + 4235364 = 10444^2 + 2058^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113312501) 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 41 ways as a sum of consecutive naturals, for example, 3062482 + ... + 3062518.

Almost surely, 2113312500 is an apocalyptic number.

113312500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148064511).

113312500 is an abundant number, since it is smaller than the sum of its proper divisors (182816522).

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

113312500 is an frugal number, since it uses more digits than its factorization.

113312500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 113312500 is about 10644.8344280219. The cubic root of 113312500 is about 483.9040688228.

Adding to 113312500 its reverse (5213311), we get a palindrome (118525811).

It can be divided in two parts, 11331 and 2500, that added together give a palindrome (13831).

The spelling of 113312500 in words is "one hundred thirteen million, three hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 49 50 70 74 98 100 125 140 148 175 185 196 245 250 259 350 370 490 500 518 625 700 740 875 925 980 1036 1225 1250 1295 1750 1813 1850 2450 2500 2590 3125 3500 3626 3700 4375 4625 4900 5180 6125 6250 6475 7252 8750 9065 9250 12250 12500 12950 15625 17500 18130 18500 21875 23125 24500 25900 30625 31250 32375 36260 43750 45325 46250 61250 62500 64750 87500 90650 92500 109375 115625 122500 129500 153125 161875 181300 218750 226625 231250 306250 323750 437500 453250 462500 578125 612500 647500 765625 809375 906500 1133125 1156250 1531250 1618750 2266250 2312500 3062500 3237500 4046875 4532500 5665625 8093750 11331250 16187500 22662500 28328125 56656250 113312500