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61331100116 = 22112139747473
BaseRepresentation
bin111001000111100111…
…100101000111010100
312212022021021200211112
4321013213211013110
52001101230200431
644101454154152
74300561515026
oct710747450724
9185267250745
1061331100116
1124012897300
12ba777b2958
135a25463ab0
142d7b58c016
1518de537c2b
hexe479e51d4

61331100116 has 36 divisors (see below), whose sum is σ = 127048576116. Its totient is φ = 25733326080.

The previous prime is 61331100113. The next prime is 61331100143. The reversal of 61331100116 is 61100113316.

It can be written as a sum of positive squares in 2 ways, for example, as 3510088516 + 57821011600 = 59246^2 + 240460^2 .

It is a junction number, because it is equal to n+sod(n) for n = 61331100091 and 61331100100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61331100113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4867445 + ... + 4880028.

Almost surely, 261331100116 is an apocalyptic number.

It is an amenable number.

61331100116 is an abundant number, since it is smaller than the sum of its proper divisors (65717476000).

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

61331100116 is a wasteful number, since it uses less digits than its factorization.

61331100116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9747512 (or 9747499 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The spelling of 61331100116 in words is "sixty-one billion, three hundred thirty-one million, one hundred thousand, one hundred sixteen".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 242 286 484 572 1573 3146 6292 9747473 19494946 38989892 107222203 126717149 214444406 253434298 428888812 506868596 1179444233 1393888639 2358888466 2787777278 4717776932 5575554556 15332775029 30665550058 61331100116