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135331641 = 341670761
BaseRepresentation
bin10000001000011…
…11111100111001
3100102122120010000
420010033330321
5234121103031
621232343213
73232204614
oct1004177471
9312576100
10135331641
116a433735
12393a4b09
13220644c3
1413d8b17b
15bd333e6
hex810ff39

135331641 has 10 divisors (see below), whose sum is σ = 202162202. Its totient is φ = 90221040.

The previous prime is 135331639. The next prime is 135331649. The reversal of 135331641 is 146133531.

135331641 is a `hidden beast` number, since 13 + 5 + 3 + 3 + 1 + 641 = 666.

135331641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 81000000 + 54331641 = 9000^2 + 7371^2 .

It is not a de Polignac number, because 135331641 - 21 = 135331639 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135331649) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 835300 + ... + 835461.

Almost surely, 2135331641 is an apocalyptic number.

It is an amenable number.

135331641 is a deficient number, since it is larger than the sum of its proper divisors (66830561).

135331641 is an equidigital number, since it uses as much as digits as its factorization.

135331641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670773 (or 1670764 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 135331641 is about 11633.2128408278. The cubic root of 135331641 is about 513.4125131792.

It can be divided in two parts, 135 and 331641, that added together give a 4-th power (331776 = 244).

The spelling of 135331641 in words is "one hundred thirty-five million, three hundred thirty-one thousand, six hundred forty-one".

Divisors: 1 3 9 27 81 1670761 5012283 15036849 45110547 135331641