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101047572 = 22325694933
BaseRepresentation
bin1100000010111…
…01110100010100
321001010202012200
412001131310110
5201332010242
614005444500
72334614223
oct601356424
9231122180
10101047572
115204759a
1229a10730
1317c1c582
14d5c4cba
158d1004c
hex605dd14

101047572 has 36 divisors (see below), whose sum is σ = 255926580. Its totient is φ = 33616512.

The previous prime is 101047561. The next prime is 101047577. The reversal of 101047572 is 275740101.

It can be written as a sum of positive squares in 2 ways, for example, as 23677956 + 77369616 = 4866^2 + 8796^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1010475722 = 20421223614190368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101047577) 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, 18018 + ... + 22950.

Almost surely, 2101047572 is an apocalyptic number.

101047572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101047572 is an abundant number, since it is smaller than the sum of its proper divisors (154879008).

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

101047572 is a wasteful number, since it uses less digits than its factorization.

101047572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5512 (or 5507 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 101047572 is about 10052.2421379511. The cubic root of 101047572 is about 465.7740558901.

Adding to 101047572 its reverse (275740101), we get a palindrome (376787673).

The spelling of 101047572 in words is "one hundred one million, forty-seven thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 569 1138 1707 2276 3414 4933 5121 6828 9866 10242 14799 19732 20484 29598 44397 59196 88794 177588 2806877 5613754 8420631 11227508 16841262 25261893 33682524 50523786 101047572