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20022121020 = 223511132722861
BaseRepresentation
bin10010101001011010…
…010101001000111100
31220200101011010120210
4102221122111020330
5312001130333040
613110435312420
71306111135446
oct225132251074
956611133523
1020022121020
118544a68960
123a6944b710
131b711515b5
14d7d203496
157c2b8a480
hex4a969523c

20022121020 has 96 divisors (see below), whose sum is σ = 61207243776. Its totient is φ = 4849977600.

The previous prime is 20022121019. The next prime is 20022121027. The reversal of 20022121020 is 2012122002.

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 = 20022120987 and 20022121005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20022121027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 864390 + ... + 887250.

It is an arithmetic number, because the mean of its divisors is an integer number (637575456).

Almost surely, 220022121020 is an apocalyptic number.

20022121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20022121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30603621888).

20022121020 is an abundant number, since it is smaller than the sum of its proper divisors (41185122756).

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

20022121020 is a wasteful number, since it uses less digits than its factorization.

20022121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24211 (or 24209 counting only the distinct ones).

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

Adding to 20022121020 its reverse (2012122002), we get a palindrome (22034243022).

The spelling of 20022121020 in words is "twenty billion, twenty-two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1327 2654 3981 5308 6635 7962 13270 14597 15924 19905 22861 26540 29194 39810 43791 45722 58388 68583 72985 79620 87582 91444 114305 137166 145970 175164 218955 228610 251471 274332 291940 342915 437910 457220 502942 685830 754413 875820 1005884 1257355 1371660 1508826 2514710 3017652 3772065 5029420 7544130 15088260 30336547 60673094 91009641 121346188 151682735 182019282 303365470 333702017 364038564 455048205 606730940 667404034 910096410 1001106051 1334808068 1668510085 1820192820 2002212102 3337020170 4004424204 5005530255 6674040340 10011060510 20022121020