Search a number
-
+
61100610100 = 22525311528417
BaseRepresentation
bin111000111001111000…
…010101001000110100
312211201012120120222021
4320321320111020310
52000113224010400
644022542042524
74262062421335
oct707170251064
9184635516867
1061100610100
1123a04779792
12ba12579444
1359b979277a
142d58b1028c
1518c91a971a
hexe39e15234

61100610100 has 36 divisors (see below), whose sum is σ = 135090002124. Its totient is φ = 23979105280.

The previous prime is 61100610059. The next prime is 61100610119. The reversal of 61100610100 is 101600116.

It can be written as a sum of positive squares in 6 ways, for example, as 1414211236 + 59686398864 = 37606^2 + 244308^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5758909 + ... + 5769508.

It is an arithmetic number, because the mean of its divisors is an integer number (3752500059).

Almost surely, 261100610100 is an apocalyptic number.

It is an amenable number.

61100610100 is an abundant number, since it is smaller than the sum of its proper divisors (73989392024).

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

61100610100 is a wasteful number, since it uses less digits than its factorization.

61100610100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11528484 (or 11528477 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 61100610100 in words is "sixty-one billion, one hundred million, six hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 11528417 23056834 46113668 57642085 115284170 230568340 288210425 576420850 611006101 1152841700 1222012202 2444024404 3055030505 6110061010 12220122020 15275152525 30550305050 61100610100