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100101122020 = 2256838278861
BaseRepresentation
bin101110100111001111…
…1011110011111100100
3100120101012220212120201
41131032133132133210
53120001341401040
6113552534240244
710142412332614
oct1351637363744
9316335825521
10100101122020
11394a8523619
12174977b6084
139593756b63
144bb8664a44
15290d061a9a
hex174e7de7e4

100101122020 has 48 divisors (see below), whose sum is σ = 210798479808. Its totient is φ = 39928972160.

The previous prime is 100101122003. The next prime is 100101122027. The reversal of 100101122020 is 20221101001.

100101122020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 100101121988 and 100101122006.

It is not an unprimeable number, because it can be changed into a prime (100101122027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11292390 + ... + 11301250.

It is an arithmetic number, because the mean of its divisors is an integer number (4391634996).

Almost surely, 2100101122020 is an apocalyptic number.

100101122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101122020 is an abundant number, since it is smaller than the sum of its proper divisors (110697357788).

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

100101122020 is a wasteful number, since it uses less digits than its factorization.

100101122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10380 (or 10378 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100101122020 its reverse (20221101001), we get a palindrome (120322223021).

The spelling of 100101122020 in words is "one hundred billion, one hundred one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 683 827 1366 1654 2732 3308 3415 4135 6830 8270 8861 13660 16540 17722 35444 44305 88610 177220 564841 1129682 2259364 2824205 5648410 6052063 7328047 11296820 12104126 14656094 24208252 29312188 30260315 36640235 60520630 73280470 121041260 146560940 5005056101 10010112202 20020224404 25025280505 50050561010 100101122020