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220002211120122 = 23353155949307309
BaseRepresentation
bin110010000001011101000001…
…101001001100001111111010
31001211222000011100201002211000
4302001131001221030033322
5212314004012021320442
62055523342011345430
764224430611501654
oct6201350151141772
91054860140632730
10220002211120122
1164110460805692
1220811a9b452276
13959b172698902
143c482417b56d4
151a67b680dbd4c
hexc81741a4c3fa

220002211120122 has 64 divisors (see below), whose sum is σ = 498437735328000. Its totient is φ = 71904255568704.

The previous prime is 220002211120079. The next prime is 220002211120123. The reversal of 220002211120122 is 221021112200022.

It is a happy number.

220002211120122 is a `hidden beast` number, since 2 + 200 + 0 + 221 + 1 + 120 + 122 = 666.

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 = 220002211120095 and 220002211120104.

It is not an unprimeable number, because it can be changed into a prime (220002211120123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20191797 + ... + 29115512.

It is an arithmetic number, because the mean of its divisors is an integer number (7788089614500).

Almost surely, 2220002211120122 is an apocalyptic number.

220002211120122 is an abundant number, since it is smaller than the sum of its proper divisors (278435524207878).

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

220002211120122 is a wasteful number, since it uses less digits than its factorization.

220002211120122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49308932 (or 49308926 counting only the distinct ones).

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

Adding to 220002211120122 its reverse (221021112200022), we get a palindrome (441023323320144).

The spelling of 220002211120122 in words is "two hundred twenty trillion, two billion, two hundred eleven million, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 954 1431 1559 2862 3118 4677 9354 14031 28062 42093 82627 84186 165254 247881 495762 743643 1487286 2230929 4461858 49307309 98614618 147921927 295843854 443765781 887531562 1331297343 2613287377 2662594686 5226574754 7839862131 15679724262 23519586393 47039172786 70558759179 76870094731 141117518358 153740189462 230610284193 461220568386 691830852579 1383661705158 2075492557737 4074115020743 4150985115474 8148230041486 12222345062229 24444690124458 36667035186687 73334070373374 110001105560061 220002211120122