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101331020 = 22572103399
BaseRepresentation
bin1100000101000…
…11000001001100
321001200011000202
412002203001030
5201420043040
614015513032
72340204500
oct602430114
9231604022
10101331020
115222054a
1229b28778
1317cbb5ab
14d65a300
158d69015
hex60a304c

101331020 has 36 divisors (see below), whose sum is σ = 247539600. Its totient is φ = 34741728.

The previous prime is 101331019. The next prime is 101331023. The reversal of 101331020 is 20133101.

It is a super-2 number, since 2×1013310202 = 20535951228480800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101330992 and 101331010.

It is not an unprimeable number, because it can be changed into a prime (101331023) 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, 50720 + ... + 52679.

It is an arithmetic number, because the mean of its divisors is an integer number (6876100).

Almost surely, 2101331020 is an apocalyptic number.

101331020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101331020 is an abundant number, since it is smaller than the sum of its proper divisors (146208580).

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

101331020 is a wasteful number, since it uses less digits than its factorization.

101331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103422 (or 103413 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 101331020 is about 10066.3310098566. The cubic root of 101331020 is about 466.2091627366.

Adding to 101331020 its reverse (20133101), we get a palindrome (121464121).

The spelling of 101331020 in words is "one hundred one million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 103399 206798 413596 516995 723793 1033990 1447586 2067980 2895172 3618965 5066551 7237930 10133102 14475860 20266204 25332755 50665510 101331020