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100222112222122 = 21153713533429509
BaseRepresentation
bin10110110010011011000111…
…011001011100101110101010
3111010212010210022122111001211
4112302123013121130232222
5101114014341212101442
6553053222554303334
730052544240653162
oct2662330731345652
9433763708574054
10100222112222122
1129a2aa60623110
12b2a7872727b4a
1343bcb9b619a07
141aa6ac19275a2
15b8c01913d617
hex5b26c765cbaa

100222112222122 has 64 divisors (see below), whose sum is σ = 169927666110720. Its totient is φ = 43941600102400.

The previous prime is 100222112222117. The next prime is 100222112222201. The reversal of 100222112222122 is 221222211222001.

It is a super-3 number, since 3×1002221122221223 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 100222112222093 and 100222112222102.

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, 27508704 + ... + 30938212.

It is an arithmetic number, because the mean of its divisors is an integer number (2655119782980).

Almost surely, 2100222112222122 is an apocalyptic number.

100222112222122 is a deficient number, since it is larger than the sum of its proper divisors (69705553888598).

100222112222122 is a wasteful number, since it uses less digits than its factorization.

100222112222122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3429999.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 100222112222122 its reverse (221222211222001), we get a palindrome (321444323444123).

The spelling of 100222112222122 in words is "one hundred trillion, two hundred twenty-two billion, one hundred twelve million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 11 22 53 71 106 142 353 583 706 781 1166 1562 3763 3883 7526 7766 18709 25063 37418 41393 50126 82786 205799 275693 411598 551386 1328339 2656678 3429509 6859018 14611729 29223458 37724599 75449198 181763977 243495139 363527954 486990278 1210616677 1999403747 2421233354 2678446529 3998807494 5356893058 12905242367 13316783447 25810484734 26633566894 64162683881 85953784067 128325367762 141957666037 171907568134 283915332074 705789522691 945491624737 1411579045382 1890983249474 4555550555551 9111101111102 50111056111061 100222112222122