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22010220112122 = 23311179083206911
BaseRepresentation
bin1010000000100101001110…
…10110011110100011111010
32212221011020002020211211000
411000102213112132203322
510341103412322041442
6114451204443345430
74431120526033134
oct500224726364372
985834202224730
1022010220112122
1170165334a2380
12257588a222276
13c3872a012018
1456142c1aa054
1528280a1eed4c
hex1404a759e8fa

22010220112122 has 64 divisors (see below), whose sum is σ = 53358665195520. Its totient is φ = 6669694191600.

The previous prime is 22010220112087. The next prime is 22010220112163. The reversal of 22010220112122 is 22121102201022.

It is a happy number.

22010220112122 is a `hidden beast` number, since 220 + 1 + 0 + 220 + 11 + 212 + 2 = 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 = 22010220112095 and 22010220112104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106271847 + ... + 106478757.

It is an arithmetic number, because the mean of its divisors is an integer number (833729143680).

Almost surely, 222010220112122 is an apocalyptic number.

22010220112122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22010220112122 is an abundant number, since it is smaller than the sum of its proper divisors (31348445083398).

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

22010220112122 is a wasteful number, since it uses less digits than its factorization.

22010220112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386016 (or 386010 counting only the distinct ones).

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

Adding to 22010220112122 its reverse (22121102201022), we get a palindrome (44131322313144).

The spelling of 22010220112122 in words is "twenty-two trillion, ten billion, two hundred twenty million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 179083 206911 358166 413822 537249 620733 1074498 1241466 1611747 1862199 1969913 2276021 3223494 3724398 3939826 4552042 4835241 5586597 5909739 6828063 9670482 11173194 11819478 13656126 17729217 20484189 35458434 40968378 53187651 61452567 106375302 122905134 37054242613 74108485226 111162727839 222325455678 333488183517 407596668743 666976367034 815193337486 1000464550551 1222790006229 2000929101102 2445580012458 3668370018687 7336740037374 11005110056061 22010220112122