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22102131101020 = 22597113100821691
BaseRepresentation
bin1010000011010000011011…
…01011000100110101011100
32220020221110111222211212221
411001220031223010311130
510344110131030213040
6115001325011035124
74440553261404655
oct501501553046534
986227414884787
1022102131101020
117051508894733
12258b65ab9baa4
13c442b6a14859
14565a6abd252c
15284dd920a74a
hex141a0dac4d5c

22102131101020 has 48 divisors (see below), whose sum is σ = 47307957607008. Its totient is φ = 8672278487040.

The previous prime is 22102131101003. The next prime is 22102131101021. The reversal of 22102131101020 is 2010113120122.

It is a junction number, because it is equal to n+sod(n) for n = 22102131100985 and 22102131101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22102131101021) 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, 50191626 + ... + 50630065.

It is an arithmetic number, because the mean of its divisors is an integer number (985582450146).

Almost surely, 222102131101020 is an apocalyptic number.

22102131101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102131101020 is an abundant number, since it is smaller than the sum of its proper divisors (25205826505988).

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

22102131101020 is a wasteful number, since it uses less digits than its factorization.

22102131101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100821910 (or 100821908 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 22102131101020 its reverse (2010113120122), we get a palindrome (24112244221142).

The spelling of 22102131101020 in words is "twenty-two trillion, one hundred two billion, one hundred thirty-one million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 97 113 194 226 388 452 485 565 970 1130 1940 2260 10961 21922 43844 54805 109610 219220 100821691 201643382 403286764 504108455 1008216910 2016433820 9779704027 11392851083 19559408054 22785702166 39118816108 45571404332 48898520135 56964255415 97797040270 113928510830 195594080540 227857021660 1105106555051 2210213110102 4420426220204 5525532775255 11051065550510 22102131101020