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101122000020 = 22335187262963
BaseRepresentation
bin101111000101101010…
…1110100010010010100
3100200000100212211221000
41132023111310102110
53124044213000040
6114242123223300
710206616550406
oct1361325642224
9320010784830
10101122000020
1139981807348
1217721677b30
1396c70c3c92
144c74088b76
15296c9b9130
hex178b574494

101122000020 has 48 divisors (see below), whose sum is σ = 314601779520. Its totient is φ = 26965866528.

The previous prime is 101121999971. The next prime is 101122000097. The reversal of 101122000020 is 20000221101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101121999966 and 101122000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93630942 + ... + 93632021.

It is an arithmetic number, because the mean of its divisors is an integer number (6554203740).

Almost surely, 2101122000020 is an apocalyptic number.

101122000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122000020 is an abundant number, since it is smaller than the sum of its proper divisors (213479779500).

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

101122000020 is a wasteful number, since it uses less digits than its factorization.

101122000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187262981 (or 187262973 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101122000020 its reverse (20000221101), we get a palindrome (121122221121).

The spelling of 101122000020 in words is "one hundred one billion, one hundred twenty-two million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 187262963 374525926 561788889 749051852 936314815 1123577778 1685366667 1872629630 2247155556 2808944445 3370733334 3745259260 5056100001 5617888890 6741466668 8426833335 10112200002 11235777780 16853666670 20224400004 25280500005 33707333340 50561000010 101122000020