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101122012020 = 22355381313207
BaseRepresentation
bin101111000101101010…
…1110111001101110100
3100200000100220110101110
41132023111313031310
53124044213341040
6114242123355020
710206616630401
oct1361325671564
9320010813343
10101122012020
1139981815367
1217721682a70
1396c70c9593
144c7408d2a8
15296c9bc980
hex178b577374

101122012020 has 48 divisors (see below), whose sum is σ = 283195156608. Its totient is φ = 26960772480.

The previous prime is 101122012001. The next prime is 101122012151. The reversal of 101122012020 is 20210221101.

It is a super-2 number, since 2×1011220120202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101122011987 and 101122012005.

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, 166257 + ... + 479463.

It is an arithmetic number, because the mean of its divisors is an integer number (5899899096).

Almost surely, 2101122012020 is an apocalyptic number.

101122012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122012020 is an abundant number, since it is smaller than the sum of its proper divisors (182073144588).

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

101122012020 is a wasteful number, since it uses less digits than its factorization.

101122012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318600 (or 318598 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101122012020 its reverse (20210221101), we get a palindrome (121332233121).

The spelling of 101122012020 in words is "one hundred one billion, one hundred twenty-two million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 5381 10762 16143 21524 26905 32286 53810 64572 80715 107620 161430 313207 322860 626414 939621 1252828 1566035 1879242 3132070 3758484 4698105 6264140 9396210 18792420 1685366867 3370733734 5056100601 6741467468 8426834335 10112201202 16853668670 20224402404 25280503005 33707337340 50561006010 101122012020