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101013620 = 2255050681
BaseRepresentation
bin1100000010101…
…01100001110100
321001002000122012
412001111201310
5201324413440
614005023352
72334413231
oct601254164
9231060565
10101013620
1152024034
12299b4b58
1317c09c96
14d5b6788
158d04e65
hex6055874

101013620 has 12 divisors (see below), whose sum is σ = 212128644. Its totient is φ = 40405440.

The previous prime is 101013613. The next prime is 101013629. The reversal of 101013620 is 26310101.

It can be written as a sum of positive squares in 2 ways, for example, as 62125924 + 38887696 = 7882^2 + 6236^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101013595 and 101013604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2525321 + ... + 2525360.

It is an arithmetic number, because the mean of its divisors is an integer number (17677387).

Almost surely, 2101013620 is an apocalyptic number.

101013620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101013620 is an abundant number, since it is smaller than the sum of its proper divisors (111115024).

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

101013620 is a wasteful number, since it uses less digits than its factorization.

101013620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050690 (or 5050688 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 101013620 is about 10050.5532186044. The cubic root of 101013620 is about 465.7218833278.

Adding to 101013620 its reverse (26310101), we get a palindrome (127323721).

The spelling of 101013620 in words is "one hundred one million, thirteen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 5050681 10101362 20202724 25253405 50506810 101013620