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9977900113 = 611138531697
BaseRepresentation
bin10010100101011101…
…01010110001010001
3221202101011211210001
421102232222301101
5130413320300423
64330033010001
7502155515536
oct112256526121
927671154701
109977900113
1142602a0045
121b256b3901
13c3025030c
146a924cd8d
153d5e94cad
hex252baac51

9977900113 has 16 divisors (see below), whose sum is σ = 10249250256. Its totient is φ = 9710346240.

The previous prime is 9977900077. The next prime is 9977900137. The reversal of 9977900113 is 3110097799.

9977900113 = 706322 + 706332.

It can be written as a sum of positive squares in 8 ways, for example, as 3219087169 + 6758812944 = 56737^2 + 82212^2 .

It is a cyclic number.

It is not a de Polignac number, because 9977900113 - 213 = 9977891921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9977900173) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5878881 + ... + 5880577.

It is an arithmetic number, because the mean of its divisors is an integer number (640578141).

Almost surely, 29977900113 is an apocalyptic number.

9977900113 is the 70633-rd centered square number.

It is an amenable number.

9977900113 is a deficient number, since it is larger than the sum of its proper divisors (271350143).

9977900113 is a wasteful number, since it uses less digits than its factorization.

9977900113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724.

The product of its (nonzero) digits is 107163, while the sum is 46.

The square root of 9977900113 is about 99889.4394468204. The cubic root of 9977900113 is about 2152.8464273358.

The spelling of 9977900113 in words is "nine billion, nine hundred seventy-seven million, nine hundred thousand, one hundred thirteen".

Divisors: 1 61 113 853 1697 6893 52033 96389 103517 191761 1447541 5879729 11697421 88300001 163572133 9977900113