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122213112110010 = 2345160993772769
BaseRepresentation
bin11011110010011011110101…
…001000100101101110111010
3121000201110101220122202220000
4123302123311020211232322
5112004314423200010020
61111531532330013430
734512414563554215
oct3362336510455672
9530643356582800
10122213112110010
1135a39320773549
1211859877b77276
13532685467578c
1422272091d077c
15e1e09bca2090
hex6f26f5225bba

122213112110010 has 80 divisors (see below), whose sum is σ = 328821719826600. Its totient is φ = 32569907963904.

The previous prime is 122213112109943. The next prime is 122213112110021. The reversal of 122213112110010 is 10011211312221.

It is a happy number.

122213112110010 is a `hidden beast` number, since 1 + 2 + 221 + 311 + 21 + 100 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 100797162368841 + 21415949741169 = 10039779^2 + 4627737^2 .

It is a super-2 number, since 2×1222131121100102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45583095 + ... + 48189674.

Almost surely, 2122213112110010 is an apocalyptic number.

122213112110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122213112110010 is an abundant number, since it is smaller than the sum of its proper divisors (206608607716590).

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

122213112110010 is a wasteful number, since it uses less digits than its factorization.

122213112110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93774397 (or 93774388 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 122213112110010 its reverse (10011211312221), we get a palindrome (132224323422231).

The spelling of 122213112110010 in words is "one hundred twenty-two trillion, two hundred thirteen billion, one hundred twelve million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1609 3218 4827 8045 9654 14481 16090 24135 28962 43443 48270 72405 86886 130329 144810 217215 260658 434430 651645 1303290 93772769 187545538 281318307 468863845 562636614 843954921 937727690 1406591535 1687909842 2531864763 2813183070 4219774605 5063729526 7595594289 8439549210 12659323815 15191188578 25318647630 37977971445 75955942890 150880385321 301760770642 452641155963 754401926605 905282311926 1357923467889 1508803853210 2263205779815 2715846935778 4073770403667 4526411559630 6789617339445 8147540807334 12221311211001 13579234678890 20368852018335 24442622422002 40737704036670 61106556055005 122213112110010