Search a number
-
+
20022010102020 = 22351673694754083
BaseRepresentation
bin1001000110101101111001…
…10011001100000100000100
32121220002022022100112111110
410203112330303030010010
510111020034041231040
6110325552351005020
74134354034553343
oct443267463140404
977802268315443
1020022010102020
11641a3178034a3
1222b4496809770
13b230b5261b44
144d30db4abb5a
1524ac4230c980
hex1235bcccc104

20022010102020 has 96 divisors (see below), whose sum is σ = 56399895917568. Its totient is φ = 5306989647232.

The previous prime is 20022010102007. The next prime is 20022010102033. The reversal of 20022010102020 is 2020101022002.

It is an interprime number because it is at equal distance from previous prime (20022010102007) and next prime (20022010102033).

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 = 20022010101987 and 20022010102005.

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 31 ways as a sum of consecutive naturals, for example, 370181899 + ... + 370235981.

It is an arithmetic number, because the mean of its divisors is an integer number (587498915808).

Almost surely, 220022010102020 is an apocalyptic number.

20022010102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20022010102020 is an abundant number, since it is smaller than the sum of its proper divisors (36377885815548).

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

20022010102020 is a wasteful number, since it uses less digits than its factorization.

20022010102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91209 (or 91207 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20022010102020 its reverse (2020101022002), we get a palindrome (22042111124022).

The spelling of 20022010102020 in words is "twenty trillion, twenty-two billion, ten million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 668 835 1002 1670 2004 2505 3340 5010 10020 36947 54083 73894 108166 110841 147788 162249 184735 216332 221682 270415 324498 369470 443364 540830 554205 648996 738940 811245 1081660 1108410 1622490 2216820 3244980 6170149 9031861 12340298 18063722 18510447 24680596 27095583 30850745 36127444 37020894 45159305 54191166 61701490 74041788 90318610 92552235 108382332 123402980 135477915 180637220 185104470 270955830 370208940 541911660 1998204601 3996409202 5994613803 7992818404 9991023005 11989227606 19982046010 23978455212 29973069015 39964092020 59946138030 119892276060 333700168367 667400336734 1001100505101 1334800673468 1668500841835 2002201010202 3337001683670 4004402020404 5005502525505 6674003367340 10011005051010 20022010102020