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35113101561 = 34626969149
BaseRepresentation
bin100000101100111001…
…110110100011111001
310100122002111101010000
4200230321312203321
51033402423222221
624044123343213
72352064303326
oct405471664371
9110562441100
1035113101561
11139894809aa
12697b381b09
1334077a3995
1419b154bb4d
15da7971e26
hex82ce768f9

35113101561 has 20 divisors (see below), whose sum is σ = 52462030500. Its totient is φ = 23404661856.

The previous prime is 35113101557. The next prime is 35113101671. The reversal of 35113101561 is 16510131153.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11827867536 + 23285234025 = 108756^2 + 152595^2 .

It is not a de Polignac number, because 35113101561 - 22 = 35113101557 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (35113101521) 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 19 ways as a sum of consecutive naturals, for example, 473215 + ... + 542363.

It is an arithmetic number, because the mean of its divisors is an integer number (2623101525).

Almost surely, 235113101561 is an apocalyptic number.

It is an amenable number.

35113101561 is a deficient number, since it is larger than the sum of its proper divisors (17348928939).

35113101561 is an equidigital number, since it uses as much as digits as its factorization.

35113101561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75430 (or 75421 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The spelling of 35113101561 in words is "thirty-five billion, one hundred thirteen million, one hundred one thousand, five hundred sixty-one".

Divisors: 1 3 9 27 81 6269 18807 56421 69149 169263 207447 507789 622341 1867023 5601069 433495081 1300485243 3901455729 11704367187 35113101561