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9961253107 = 134397183709
BaseRepresentation
bin10010100011011110…
…01010100011110011
3221201012212002101021
421101233022203303
5130400040044412
64324240120311
7501564153151
oct112157124363
927635762337
109961253107
11425195a993
121b20006097
13c29972110
146a6d583d1
153d47a7607
hex251bca8f3

9961253107 has 16 divisors (see below), whose sum is σ = 11090205280. Its totient is φ = 8888527872.

The previous prime is 9961253077. The next prime is 9961253117. The reversal of 9961253107 is 7013521699.

It is a 11-Lehmer number, since φ(9961253107) divides (9961253107-1)11.

It is a cyclic number.

It is not a de Polignac number, because 9961253107 - 27 = 9961252979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9961253117) 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, 37632 + ... + 146077.

It is an arithmetic number, because the mean of its divisors is an integer number (693137830).

Almost surely, 29961253107 is an apocalyptic number.

9961253107 is a gapful number since it is divisible by the number (97) formed by its first and last digit.

9961253107 is a deficient number, since it is larger than the sum of its proper divisors (1128952173).

9961253107 is a wasteful number, since it uses less digits than its factorization.

9961253107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183862.

The product of its (nonzero) digits is 102060, while the sum is 43.

The square root of 9961253107 is about 99806.0775053303. The cubic root of 9961253107 is about 2151.6485000402.

The spelling of 9961253107 in words is "nine billion, nine hundred sixty-one million, two hundred fifty-three thousand, one hundred seven".

Divisors: 1 13 43 97 559 1261 4171 54223 183709 2388217 7899487 17819773 102693331 231657049 766250239 9961253107