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102202120100022 = 23711092201019083
BaseRepresentation
bin10111001111001111001001…
…000100000101100010110110
3111101212102112110210022020020
4113033033021010011202312
5101343434420221200042
61001211001130550010
730345600545145045
oct2717171104054266
9441772473708206
10102202120100022
112a623748435738
12b567557298306
134504807004127
141b3487518255c
15bc37a1e093ec
hex5cf3c91058b6

102202120100022 has 32 divisors (see below), whose sum is σ = 209184853743360. Its totient is φ = 33279408519840.

The previous prime is 102202120100021. The next prime is 102202120100039. The reversal of 102202120100022 is 220001021202201.

It is a junction number, because it is equal to n+sod(n) for n = 102202120099974 and 102202120100010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202120100021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1100463108 + ... + 1100555975.

It is an arithmetic number, because the mean of its divisors is an integer number (6537026679480).

Almost surely, 2102202120100022 is an apocalyptic number.

102202120100022 is an abundant number, since it is smaller than the sum of its proper divisors (106982733643338).

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

102202120100022 is a wasteful number, since it uses less digits than its factorization.

102202120100022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201019268.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102202120100022 its reverse (220001021202201), we get a palindrome (322203141302223).

The spelling of 102202120100022 in words is "one hundred two trillion, two hundred two billion, one hundred twenty million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 71 109 142 213 218 327 426 654 7739 15478 23217 46434 2201019083 4402038166 6603057249 13206114498 156272354893 239911080047 312544709786 468817064679 479822160094 719733240141 937634129358 1439466480282 17033686683337 34067373366674 51101060050011 102202120100022