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21122101120122 = 2331922347109481
BaseRepresentation
bin1001100110101110111110…
…10101011000110001111010
32202210020211112200111121000
410303113133111120301322
510232031030341320442
6112531205335225430
74310010233123652
oct463273725306172
982706745614530
1021122101120122
116803918480762
122451730b18276
13ba2a61b57582
1453045aaa9362
1526967ac8bd4c
hex1335df558c7a

21122101120122 has 96 divisors (see below), whose sum is σ = 51692292408960. Its totient is φ = 6380131095360.

The previous prime is 21122101120093. The next prime is 21122101120139. The reversal of 21122101120122 is 22102110122112.

21122101120122 is a `hidden beast` number, since 211 + 2 + 210 + 1 + 120 + 122 = 666.

It is a super-2 number, since 2×211221011201222 (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 = 21122101120095 and 21122101120104.

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, 23106379 + ... + 24003102.

It is an arithmetic number, because the mean of its divisors is an integer number (538461379260).

Almost surely, 221122101120122 is an apocalyptic number.

21122101120122 is an abundant number, since it is smaller than the sum of its proper divisors (30570191288838).

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

21122101120122 is a wasteful number, since it uses less digits than its factorization.

21122101120122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47109553 (or 47109528 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21122101120122 its reverse (22102110122112), we get a palindrome (43224211242234).

The spelling of 21122101120122 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred one million, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 114 138 171 207 342 361 414 437 513 621 722 874 1026 1083 1242 1311 2166 2622 3249 3933 6498 7866 8303 9747 11799 16606 19494 23598 24909 49818 74727 149454 224181 448362 47109481 94218962 141328443 282656886 423985329 847970658 895080139 1083518063 1271955987 1790160278 2167036126 2543911974 2685240417 3250554189 5370480834 6501108378 8055721251 9751662567 16111442502 17006522641 19503325134 20586843197 24167163753 29254987701 34013045282 41173686394 48334327506 51019567923 58509975402 61760529591 102039135846 123521059182 153058703769 185281588773 306117407538 370563177546 391150020743 459176111307 555844766319 782300041486 918352222614 1111689532638 1173450062229 2346900124458 3520350186687 7040700373374 10561050560061 21122101120122