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21122210202120 = 2333519557602039
BaseRepresentation
bin1001100110101111001011…
…10101100000001000001000
32202210021010010221102222000
410303113211311200020020
510232031241302431440
6112531224233231000
74310013026243166
oct463274565401010
982707103842860
1021122210202120
116803974005675
122451761562460
13ba2a7b62ab31
1453046b382236
15269685637730
hex1335e5d60208

21122210202120 has 64 divisors (see below), whose sum is σ = 70407367344000. Its totient is φ = 5632589386944.

The previous prime is 21122210202109. The next prime is 21122210202133. The reversal of 21122210202120 is 2120201222112.

It is a happy number.

21122210202120 is a `hidden beast` number, since 211 + 2 + 221 + 0 + 20 + 212 + 0 = 666.

21122210202120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211222102021202 (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 = 21122210202093 and 21122210202102.

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 15 ways as a sum of consecutive naturals, for example, 9778799940 + ... + 9778802099.

It is an arithmetic number, because the mean of its divisors is an integer number (1100115114750).

Almost surely, 221122210202120 is an apocalyptic number.

21122210202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122210202120 is an abundant number, since it is smaller than the sum of its proper divisors (49285157141880).

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

21122210202120 is a wasteful number, since it uses less digits than its factorization.

21122210202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19557602059 (or 19557602049 counting only the distinct ones).

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

Adding to 21122210202120 its reverse (2120201222112), we get a palindrome (23242411424232).

The spelling of 21122210202120 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred ten million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 19557602039 39115204078 58672806117 78230408156 97788010195 117345612234 156460816312 176018418351 195576020390 234691224468 293364030585 352036836702 391152040780 469382448936 528055255053 586728061170 704073673404 782304081560 880092091755 1056110510106 1173456122340 1408147346808 1760184183510 2112221020212 2346912244680 2640276275265 3520368367020 4224442040424 5280552550530 7040736734040 10561105101060 21122210202120