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100221112100022 = 23378272917187139
BaseRepresentation
bin10110110010011010001011…
…110010010010010010110110
3111010212001012121202000110120
4112302122023302102102312
5101114010314144200042
6553052535430232410
730052510405033254
oct2662321362222266
9433761177660416
10100221112100022
1129a2a598026621
12b2a76337b5706
1343bca6c3690a4
141aa6a28b875d4
15b8beab435dec
hex5b268bc924b6

100221112100022 has 64 divisors (see below), whose sum is σ = 206180264367360. Its totient is φ = 32453537832576.

The previous prime is 100221112100017. The next prime is 100221112100099. The reversal of 100221112100022 is 220001211122001.

It is a super-2 number, since 2×1002211121000222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100221112099974 and 100221112100010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535450129 + ... + 535637267.

It is an arithmetic number, because the mean of its divisors is an integer number (3221566630740).

Almost surely, 2100221112100022 is an apocalyptic number.

100221112100022 is an abundant number, since it is smaller than the sum of its proper divisors (105959152267338).

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

100221112100022 is a wasteful number, since it uses less digits than its factorization.

100221112100022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190925.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100221112100022 its reverse (220001211122001), we get a palindrome (320222323222023).

The spelling of 100221112100022 in words is "one hundred trillion, two hundred twenty-one billion, one hundred twelve million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 37 74 111 222 827 1654 2481 2917 4962 5834 8751 17502 30599 61198 91797 107929 183594 187139 215858 323787 374278 561417 647574 1122834 2412359 4824718 6924143 7237077 13848286 14474154 20772429 41544858 89257283 154763953 178514566 267771849 309527906 464291859 535543698 545884463 928583718 1091768926 1637653389 3275306778 5726266261 11452532522 17178798783 20197725131 34357597566 40395450262 60593175393 121186350786 451446450901 902892901802 1354339352703 2708678705406 16703518683337 33407037366674 50110556050011 100221112100022