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22120102220020 = 2257593917683681
BaseRepresentation
bin1010000011110001111001…
…10101011101000011110100
32220022122211221211021121221
411001320330311131003310
510344403432132020040
6115013500142320124
74442060516401630
oct501707465350364
986278757737557
1022120102220020
1170590a00403a2
122593035589044
13c45bbbc7258c
14566893861dc0
152855dbcab74a
hex141e3cd5d0f4

22120102220020 has 96 divisors (see below), whose sum is σ = 54001908092160. Its totient is φ = 7453577809920.

The previous prime is 22120102219997. The next prime is 22120102220039. The reversal of 22120102220020 is 2002220102122.

It is a junction number, because it is equal to n+sod(n) for n = 22120102219976 and 22120102220003.

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 31 ways as a sum of consecutive naturals, for example, 32012580 + ... + 32696260.

It is an arithmetic number, because the mean of its divisors is an integer number (562519875960).

Almost surely, 222120102220020 is an apocalyptic number.

22120102220020 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 22120102220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27000954046080).

22120102220020 is an abundant number, since it is smaller than the sum of its proper divisors (31881805872140).

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

22120102220020 is a wasteful number, since it uses less digits than its factorization.

22120102220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687673 (or 687671 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22120102220020 its reverse (2002220102122), we get a palindrome (24122322322142).

The spelling of 22120102220020 in words is "twenty-two trillion, one hundred twenty billion, one hundred two million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1652 2065 3917 4130 7834 8260 15668 19585 27419 39170 54838 78340 109676 137095 231103 274190 462206 548380 683681 924412 1155515 1367362 1617721 2311030 2734724 3235442 3418405 4622060 4785767 6470884 6836810 8088605 9571534 13673620 16177210 19143068 23928835 32354420 40337179 47857670 80674358 95715340 161348716 201685895 282360253 403371790 564720506 806743580 1129441012 1411801265 2677978477 2823602530 5355956954 5647205060 10711913908 13389892385 18745849339 26779784770 37491698678 53559569540 74983397356 93729246695 158000730143 187458493390 316001460286 374916986780 632002920572 790003650715 1106005111001 1580007301430 2212010222002 3160014602860 4424020444004 5530025555005 11060051110010 22120102220020