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21122022120102 = 23241317268733601
BaseRepresentation
bin1001100110101110110101…
…01000000001101010100110
32202210020122001000212221100
410303113122220001222212
510232030400130320402
6112531153434100530
74310005253464131
oct463273250015246
982706561025840
1021122022120102
116803887922892
12245170a57a746
13ba2a4b6873b7
145304503c3218
15269673d8471c
hex1335daa01aa6

21122022120102 has 96 divisors (see below), whose sum is σ = 47047376323584. Its totient is φ = 6844529664000.

The previous prime is 21122022119993. The next prime is 21122022120119. The reversal of 21122022120102 is 20102122022112.

It is a happy number.

21122022120102 is a `hidden beast` number, since 21 + 1 + 220 + 221 + 201 + 0 + 2 = 666.

It is a super-2 number, since 2×211220221201022 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 628596102 + ... + 628629702.

It is an arithmetic number, because the mean of its divisors is an integer number (490076836704).

Almost surely, 221122022120102 is an apocalyptic number.

21122022120102 is an abundant number, since it is smaller than the sum of its proper divisors (25925354203482).

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

21122022120102 is a wasteful number, since it uses less digits than its factorization.

21122022120102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36654 (or 36651 counting only the distinct ones).

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

Adding to 21122022120102 its reverse (20102122022112), we get a palindrome (41224144142214).

The spelling of 21122022120102 in words is "twenty-one trillion, one hundred twenty-two billion, twenty-two million, one hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 41 82 123 246 317 369 634 738 951 1902 2687 2853 5374 5706 8061 12997 16122 24183 25994 33601 38991 48366 67202 77982 100803 110167 116973 201606 220334 233946 302409 330501 604818 661002 851779 991503 1377641 1703558 1983006 2555337 2755282 4132923 5110674 7666011 8265846 10651517 12398769 15332022 21303034 24797538 31954551 34922939 63909102 69845878 90285887 95863653 104768817 180571774 191727306 209537634 270857661 314306451 436712197 541715322 628612902 812572983 873424394 1310136591 1625145966 2620273182 3701721367 3930409773 7403442734 7860819546 11105164101 22210328202 28620626179 33315492303 57241252358 66630984606 85861878537 171723757074 257585635611 515171271222 1173445673339 2346891346678 3520337020017 7040674040034 10561011060051 21122022120102