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101100131020 = 22572103163399
BaseRepresentation
bin101111000101000001…
…0011001001011001100
3100122221211201210022001
41132022002121023030
53124023113143040
6114240022402044
710206232635400
oct1361202311314
9318854653261
10101100131020
113997042a899
1217716290324
1396c2707c45
144c711d5100
15296aae959a
hex178a0992cc

101100131020 has 36 divisors (see below), whose sum is σ = 246973179600. Its totient is φ = 34662901728.

The previous prime is 101100130951. The next prime is 101100131021. The reversal of 101100131020 is 20131001101.

It is a super-2 number, since 2×1011001310202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101100130988 and 101100131006.

It is not an unprimeable number, because it can be changed into a prime (101100131021) 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, 51580720 + ... + 51582679.

It is an arithmetic number, because the mean of its divisors is an integer number (6860366100).

Almost surely, 2101100131020 is an apocalyptic number.

101100131020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100131020 is an abundant number, since it is smaller than the sum of its proper divisors (145873048580).

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

101100131020 is a wasteful number, since it uses less digits than its factorization.

101100131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103163422 (or 103163413 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101100131020 its reverse (20131001101), we get a palindrome (121231132121).

The spelling of 101100131020 in words is "one hundred one billion, one hundred million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 103163399 206326798 412653596 515816995 722143793 1031633990 1444287586 2063267980 2888575172 3610718965 5055006551 7221437930 10110013102 14442875860 20220026204 25275032755 50550065510 101100131020