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101664522 = 23217893733
BaseRepresentation
bin1100000111101…
…00011100001010
321002022002111200
412003310130022
5202011231042
614031005030
72343064011
oct603643412
9232262450
10101664522
1152429073
122a069776
13180a732b
14d705a78
158dd2c4c
hex60f470a

101664522 has 48 divisors (see below), whose sum is σ = 235914120. Its totient is φ = 31527936.

The previous prime is 101664509. The next prime is 101664533. The reversal of 101664522 is 225466101.

101664522 is a `hidden beast` number, since 1 + 0 + 16 + 645 + 2 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 87216921 + 14447601 = 9339^2 + 3801^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25368 + ... + 29100.

Almost surely, 2101664522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101664522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117957060).

101664522 is an abundant number, since it is smaller than the sum of its proper divisors (134249598).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101664522 is a wasteful number, since it uses less digits than its factorization.

101664522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3847 (or 3844 counting only the distinct ones).

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

The square root of 101664522 is about 10082.8826235358. The cubic root of 101664522 is about 466.7200672452.

The spelling of 101664522 in words is "one hundred one million, six hundred sixty-four thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 89 102 153 178 267 306 534 801 1513 1602 3026 3733 4539 7466 9078 11199 13617 22398 27234 33597 63461 67194 126922 190383 332237 380766 571149 664474 996711 1142298 1993422 2990133 5648029 5980266 11296058 16944087 33888174 50832261 101664522