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122065641 = 3240933161
BaseRepresentation
bin1110100011010…
…01001011101001
322111200120120200
413101221023221
5222222100031
620040142413
73011353335
oct721511351
9274616520
10122065641
11629a27a5
1234a67a09
131c39b1b9
14122d67c5
15aab28e6
hex74692e9

122065641 has 12 divisors (see below), whose sum is σ = 176753460. Its totient is φ = 81175680.

The previous prime is 122065639. The next prime is 122065663. The reversal of 122065641 is 146560221.

122065641 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 656 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114062400 + 8003241 = 10680^2 + 2829^2 .

It is not a de Polignac number, because 122065641 - 21 = 122065639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122065621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12900 + ... + 20261.

It is an arithmetic number, because the mean of its divisors is an integer number (14729455).

Almost surely, 2122065641 is an apocalyptic number.

It is an amenable number.

122065641 is a deficient number, since it is larger than the sum of its proper divisors (54687819).

122065641 is a wasteful number, since it uses less digits than its factorization.

122065641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33576 (or 33573 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 122065641 is about 11048.3320460602. The cubic root of 122065641 is about 496.0565007284.

The spelling of 122065641 in words is "one hundred twenty-two million, sixty-five thousand, six hundred forty-one".

Divisors: 1 3 9 409 1227 3681 33161 99483 298449 13562849 40688547 122065641