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20202132120020 = 2251924361364157
BaseRepresentation
bin1001001011111101011001…
…11010001010000111010100
32122112022020022201002222022
410211332230322022013110
510121442431310320040
6110544421550552312
74153361444501144
oct445765472120724
978468208632868
1020202132120020
116489748a055a4
122323385208698
13b3708c258996
144dbb0758a924
152507855b96b5
hex125face8a1d4

20202132120020 has 72 divisors (see below), whose sum is σ = 44776588566024. Its totient is φ = 7655249947392.

The previous prime is 20202132120013. The next prime is 20202132120151. The reversal of 20202132120020 is 2002123120202.

It can be written as a sum of positive squares in 4 ways, for example, as 8701921809604 + 11500210310416 = 2949902^2 + 3391196^2 .

It is a super-2 number, since 2×202021321200202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314853782 + ... + 314917938.

It is an arithmetic number, because the mean of its divisors is an integer number (621897063417).

Almost surely, 220202132120020 is an apocalyptic number.

20202132120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20202132120020 is an abundant number, since it is smaller than the sum of its proper divisors (24574456446004).

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

20202132120020 is a wasteful number, since it uses less digits than its factorization.

20202132120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107817 (or 107796 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 20202132120020 its reverse (2002123120202), we get a palindrome (22204255240222).

The spelling of 20202132120020 in words is "twenty trillion, two hundred two billion, one hundred thirty-two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 7220 43613 64157 87226 128314 174452 218065 256628 320785 436130 641570 828647 872260 1218983 1283140 1657294 2437966 3314588 4143235 4875932 6094915 8286470 12189830 15744293 16572940 23160677 24379660 31488586 46321354 62977172 78721465 92642708 115803385 157442930 231606770 314885860 463213540 2798079241 5596158482 11192316964 13990396205 27980792410 53163505579 55961584820 106327011158 212654022316 265817527895 531635055790 1010106606001 1063270111580 2020213212002 4040426424004 5050533030005 10101066060010 20202132120020