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101100131022 = 231113513113359
BaseRepresentation
bin101111000101000001…
…0011001001011001110
3100122221211201210022010
41132022002121023032
53124023113143042
6114240022402050
710206232635402
oct1361202311316
9318854653263
10101100131022
113997042a8a0
1217716290326
1396c2707c47
144c711d5102
15296aae959c
hex178a0992ce

101100131022 has 32 divisors (see below), whose sum is σ = 220600373760. Its totient is φ = 30633865920.

The previous prime is 101100131021. The next prime is 101100131141. The reversal of 101100131022 is 220131001101.

It is a junction number, because it is equal to n+sod(n) for n = 101100130989 and 101100131007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100131021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 835179 + ... + 948537.

It is an arithmetic number, because the mean of its divisors is an integer number (6893761680).

Almost surely, 2101100131022 is an apocalyptic number.

101100131022 is an abundant number, since it is smaller than the sum of its proper divisors (119500242738).

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

101100131022 is a wasteful number, since it uses less digits than its factorization.

101100131022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126888.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 101100131022 its reverse (220131001101), we get a palindrome (321231132123).

The spelling of 101100131022 in words is "one hundred one billion, one hundred million, one hundred thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 13513 27026 40539 81078 113359 148643 226718 297286 340077 445929 680154 891858 1246949 2493898 3740847 7481694 1531820167 3063640334 4595460501 9190921002 16850021837 33700043674 50550065511 101100131022