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20010211221042 = 2327539473164137
BaseRepresentation
bin1001000110010111111011…
…00010000001111000110010
32121211221212000200021120200
410203023331202001320302
510110321403033033132
6110320321504020030
74133455454664420
oct443137542017062
977757760607520
1020010211221042
116415312629599
1222b2143301616
13b21c54986a73
144d26dc484110
1524a7a1567d7c
hex1232fd881e32

20010211221042 has 96 divisors (see below), whose sum is σ = 50537308378752. Its totient is φ = 5603406412032.

The previous prime is 20010211220963. The next prime is 20010211221043. The reversal of 20010211221042 is 24012211201002.

20010211221042 is a `hidden beast` number, since 200 + 1 + 0 + 211 + 2 + 210 + 42 = 666.

It is a super-2 number, since 2×200102112210422 (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 not an unprimeable number, because it can be changed into a prime (20010211221043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4741998 + ... + 7906134.

It is an arithmetic number, because the mean of its divisors is an integer number (526430295612).

Almost surely, 220010211221042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20010211221042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25268654189376).

20010211221042 is an abundant number, since it is smaller than the sum of its proper divisors (30527097157710).

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

20010211221042 is a wasteful number, since it uses less digits than its factorization.

20010211221042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165152 (or 3165149 counting only the distinct ones).

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

Adding to 20010211221042 its reverse (24012211201002), we get a palindrome (44022422422044).

The spelling of 20010211221042 in words is "twenty trillion, ten billion, two hundred eleven million, two hundred twenty-one thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 126 159 318 371 477 742 947 954 1113 1894 2226 2841 3339 5682 6629 6678 8523 13258 17046 19887 39774 50191 59661 100382 119322 150573 301146 351337 451719 702674 903438 1054011 2108022 3162033 3164137 6324066 6328274 9492411 18984822 22148959 28477233 44297918 56954466 66446877 132893754 167699261 199340631 335398522 398681262 503097783 1006195566 1173894827 1509293349 2347789654 2996437739 3018586698 3521684481 5992875478 7043368962 8989313217 10565053443 17978626434 20975064173 21130106886 26967939651 41950128346 53935879302 62925192519 125850385038 158811200167 188775577557 317622400334 377551155114 476433600501 952867201002 1111678401169 1429300801503 2223356802338 2858601603006 3335035203507 6670070407014 10005105610521 20010211221042