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142122204202020 = 22357248340885783
BaseRepresentation
bin100000010100001001100111…
…011111110000010000100100
3200122012202020202212001210120
4200110021213133300100210
5122112012233233431040
61222134012252121540
741635663465256400
oct4024114737602044
9618182222761716
10142122204202020
1141314763176809
1213b3429a7662b0
13613c0b2a02283
142714a73b36100
151166dd0c1b7d0
hex8142677f0424

142122204202020 has 72 divisors (see below), whose sum is σ = 462912322267584. Its totient is φ = 32485075245504.

The previous prime is 142122204202001. The next prime is 142122204202049. The reversal of 142122204202020 is 20202402221241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24170439952 + ... + 24170445831.

It is an arithmetic number, because the mean of its divisors is an integer number (6429337809272).

Almost surely, 2142122204202020 is an apocalyptic number.

142122204202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142122204202020 is an abundant number, since it is smaller than the sum of its proper divisors (320790118065564).

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

142122204202020 is a wasteful number, since it uses less digits than its factorization.

142122204202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48340885809 (or 48340885800 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 142122204202020 its reverse (20202402221241), we get a palindrome (162324606423261).

The spelling of 142122204202020 in words is "one hundred forty-two trillion, one hundred twenty-two billion, two hundred four million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 48340885783 96681771566 145022657349 193363543132 241704428915 290045314698 338386200481 483408857830 580090629396 676772400962 725113286745 966817715660 1015158601443 1353544801924 1450226573490 1691931002405 2030317202886 2368703403367 2900453146980 3383862004810 4060634405772 4737406806734 5075793007215 6767724009620 7106110210101 9474813613468 10151586014430 11843517016835 14212220420202 20303172028860 23687034033670 28424440840404 35530551050505 47374068067340 71061102101010 142122204202020