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101625641 = 13431371327
BaseRepresentation
bin1100000111010…
…10111100101001
321002020010011122
412003222330221
5202004010031
614030105025
72342542445
oct603527451
9232203148
10101625641
1152401937
122a04b175
1318092720
14d6d5825
158dc647b
hex60eaf29

101625641 has 16 divisors (see below), whose sum is σ = 112890624. Its totient is φ = 90889344.

The previous prime is 101625613. The next prime is 101625647. The reversal of 101625641 is 146526101.

It is not a de Polignac number, because 101625641 - 26 = 101625577 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101625641.

It is not an unprimeable number, because it can be changed into a prime (101625647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75920 + ... + 77246.

It is an arithmetic number, because the mean of its divisors is an integer number (7055664).

Almost surely, 2101625641 is an apocalyptic number.

It is an amenable number.

101625641 is a deficient number, since it is larger than the sum of its proper divisors (11264983).

101625641 is a wasteful number, since it uses less digits than its factorization.

101625641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 101625641 is about 10080.9543695029. The cubic root of 101625641 is about 466.6605615414.

The spelling of 101625641 in words is "one hundred one million, six hundred twenty-five thousand, six hundred forty-one".

Divisors: 1 13 43 137 559 1327 1781 5891 17251 57061 76583 181799 741793 2363387 7817357 101625641