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21120022121022 = 23211313440863819
BaseRepresentation
bin1001100110101011000110…
…11010101000101000111110
32202210001110122200101222100
410303111203122220220332
510232012301130333042
6112530223151125530
74306604556665046
oct463254332505076
982701418611870
1021120022121022
116802a50986990
1224512508138a6
13ba27c02105a6
14530300928726
152695a84c224c
hex1335636a8a3e

21120022121022 has 48 divisors (see below), whose sum is σ = 51530376568320. Its totient is φ = 6193554872400.

The previous prime is 21120022120999. The next prime is 21120022121047. The reversal of 21120022121022 is 22012122002112.

It is a happy number.

21120022121022 is a `hidden beast` number, since 2 + 11 + 200 + 221 + 210 + 22 = 666.

It is a super-2 number, since 2×211200221210222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21120022120986 and 21120022121004.

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, 1720425772 + ... + 1720438047.

It is an arithmetic number, because the mean of its divisors is an integer number (1073549511840).

Almost surely, 221120022121022 is an apocalyptic number.

21120022121022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21120022121022 is an abundant number, since it is smaller than the sum of its proper divisors (30410354447298).

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

21120022121022 is a wasteful number, since it uses less digits than its factorization.

21120022121022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440863869 (or 3440863866 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21120022121022 its reverse (22012122002112), we get a palindrome (43132144123134).

The spelling of 21120022121022 in words is "twenty-one trillion, one hundred twenty billion, twenty-two million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 6138 3440863819 6881727638 10322591457 20645182914 30967774371 37849502009 61935548742 75699004018 106666778389 113548506027 213333556778 227097012054 320000335167 340645518081 640000670334 681291036162 960001005501 1173334562279 1920002011002 2346669124558 3520003686837 7040007373674 10560011060511 21120022121022