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101121112020 = 223512647133261
BaseRepresentation
bin101111000101101001…
…0011011011111010100
3100200000022012201211010
41132023102123133110
53124044001041040
6114242052212220
710206606161445
oct1361322333724
9320008181733
10101121112020
1139981260165
121772130a070
1396c6b72a36
144c73cd72cc
15296c890e80
hex178b49b7d4

101121112020 has 48 divisors (see below), whose sum is σ = 283163626368. Its totient is φ = 26963295360.

The previous prime is 101121111937. The next prime is 101121112031. The reversal of 101121112020 is 20211121101.

It is a super-2 number, since 2×1011211120202 (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 = 101121111987 and 101121112005.

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, 692190 + ... + 825450.

It is an arithmetic number, because the mean of its divisors is an integer number (5899242216).

Almost surely, 2101121112020 is an apocalyptic number.

101121112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121112020 is an abundant number, since it is smaller than the sum of its proper divisors (182042514348).

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

101121112020 is a wasteful number, since it uses less digits than its factorization.

101121112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145920 (or 145918 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101121112020 its reverse (20211121101), we get a palindrome (121332233121).

The spelling of 101121112020 in words is "one hundred one billion, one hundred twenty-one million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 12647 25294 37941 50588 63235 75882 126470 133261 151764 189705 252940 266522 379410 399783 533044 666305 758820 799566 1332610 1599132 1998915 2665220 3997830 7995660 1685351867 3370703734 5056055601 6741407468 8426759335 10112111202 16853518670 20224222404 25280278005 33707037340 50560556010 101121112020