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2135106561 = 37101671741
BaseRepresentation
bin111111101000011…
…0010010000000001
312111210120122120210
41333100302100001
513333041402221
6551510424333
7103624051320
oct17720622001
95453518523
102135106561
119a6237185
124b70620a9
13280460283
141637c80b7
15c769e276
hex7f432401

2135106561 has 8 divisors (see below), whose sum is σ = 3253495744. Its totient is φ = 1220060880.

The previous prime is 2135106559. The next prime is 2135106599. The reversal of 2135106561 is 1656015312.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2135106561 - 21 = 2135106559 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2135106511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50835850 + ... + 50835891.

It is an arithmetic number, because the mean of its divisors is an integer number (406686968).

Almost surely, 22135106561 is an apocalyptic number.

2135106561 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2135106561 is a deficient number, since it is larger than the sum of its proper divisors (1118389183).

2135106561 is a wasteful number, since it uses less digits than its factorization.

2135106561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101671751.

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 2135106561 is about 46207.2133005227. The cubic root of 2135106561 is about 1287.6757541325.

The spelling of 2135106561 in words is "two billion, one hundred thirty-five million, one hundred six thousand, five hundred sixty-one".

Divisors: 1 3 7 21 101671741 305015223 711702187 2135106561