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100022011212222 = 23311179905130839
BaseRepresentation
bin10110101111100000110000…
…011100101011000110111110
3111010011000021221021222001000
4112233200300130223012332
5101102230034332242342
6552421251055231130
730032231452306521
oct2657406034530676
9433130257258030
10100022011212222
1129963107840760
12b274b292184a6
1343a705c3c2488
141a9b13c270bb8
15b86c06db544c
hex5af83072b1be

100022011212222 has 64 divisors (see below), whose sum is σ = 256740991372800. Its totient is φ = 28526776813440.

The previous prime is 100022011212199. The next prime is 100022011212283. The reversal of 100022011212222 is 222212110220001.

It is a happy number.

100022011212222 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 220 + 11 + 212 + 222 = 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 = 100022011212195 and 100022011212204.

It is a congruent number.

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, 4952555322 + ... + 4952575517.

It is an arithmetic number, because the mean of its divisors is an integer number (4011577990200).

Almost surely, 2100022011212222 is an apocalyptic number.

100022011212222 is an abundant number, since it is smaller than the sum of its proper divisors (156718980160578).

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

100022011212222 is a wasteful number, since it uses less digits than its factorization.

100022011212222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9905130878 (or 9905130872 counting only the distinct ones).

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

Adding to 100022011212222 its reverse (222212110220001), we get a palindrome (322234121432223).

The spelling of 100022011212222 in words is "one hundred trillion, twenty-two billion, eleven million, two hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1683 3366 5049 10098 9905130839 19810261678 29715392517 59430785034 89146177551 108956439229 168387224263 178292355102 217912878458 267438532653 326869317687 336774448526 505161672789 534877065306 653738635374 980607953061 1010323345578 1515485018367 1852259466893 1961215906122 2941823859183 3030970036734 3704518933786 4546455055101 5556778400679 5883647718366 9092910110202 11113556801358 16670335202037 33340670404074 50011005606111 100022011212222