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113697096100 = 22527248172
BaseRepresentation
bin110100111100011100…
…0000000000110100100
3101212110202010220210021
41221320320000012210
53330322424033400
6124122015204524
711133343241200
oct1517070000644
9355422126707
10113697096100
1144245057135
121a050b16744
13a94c444b33
145708209b00
152e5698871a
hex1a78e001a4

113697096100 has 81 divisors (see below), whose sum is σ = 287063549283. Its totient is φ = 38973768960.

The previous prime is 113697096089. The next prime is 113697096101. The reversal of 113697096100 is 1690796311.

The square root of 113697096100 is 337190.

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

113697096100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 38432465764 + 75264630336 = 196042^2 + 274344^2 .

It is not an unprimeable number, because it can be changed into a prime (113697096101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23600892 + ... + 23605708.

Almost surely, 2113697096100 is an apocalyptic number.

113697096100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113697096100 is the 337190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113697096100

113697096100 is an abundant number, since it is smaller than the sum of its proper divisors (173366453183).

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

113697096100 is an frugal number, since it uses more digits than its factorization.

113697096100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9662 (or 4831 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 43.

The spelling of 113697096100 in words is "one hundred thirteen billion, six hundred ninety-seven million, ninety-six thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4817 4900 9634 19268 24085 33719 48170 67438 96340 120425 134876 168595 236033 240850 337190 472066 481700 674380 842975 944132 1180165 1685950 2360330 3371900 4720660 5900825 11801650 23203489 23603300 46406978 92813956 116017445 162424423 232034890 324848846 464069780 580087225 649697692 812122115 1136970961 1160174450 1624244230 2273941922 2320348900 3248488460 4060610575 4547883844 5684854805 8121221150 11369709610 16242442300 22739419220 28424274025 56848548050 113697096100