Search a number
-
+
113212060900 = 2252336472
BaseRepresentation
bin110100101101111110…
…1101111010011100100
3101211012221110120120121
41221123331233103210
53323324241422100
6124001531211324
711115333432331
oct1513375572344
9354187416517
10113212060900
1144016290aa4
1219b365a6b44
13a8a2acc363
14569da2b988
152e290c951a
hex1a5bf6f4e4

113212060900 has 27 divisors (see below), whose sum is σ = 245677473769. Its totient is φ = 45283478480.

The previous prime is 113212060883. The next prime is 113212060909. The reversal of 113212060900 is 9060212311.

The square root of 113212060900 is 336470.

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

It can be written as a sum of positive squares in only one way, i.e., 40756341924 + 72455718976 = 201882^2 + 269176^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113212060909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3347877 + ... + 3381523.

Almost surely, 2113212060900 is an apocalyptic number.

113212060900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113212060900 is the 336470-th square number.

It is an amenable number.

113212060900 is an abundant number, since it is smaller than the sum of its proper divisors (132465412869).

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

113212060900 is an frugal number, since it uses more digits than its factorization.

113212060900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67308 (or 33654 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

Multiplying 113212060900 by its sum of digits (25), we get a square (2830301522500 = 16823502).

113212060900 divided by its sum of digits (25) gives a square (4528482436 = 672942).

The spelling of 113212060900 in words is "one hundred thirteen billion, two hundred twelve million, sixty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 33647 67294 134588 168235 336470 672940 841175 1682350 3364700 1132120609 2264241218 4528482436 5660603045 11321206090 22642412180 28303015225 56606030450 113212060900