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20102211220122 = 235405311020517
BaseRepresentation
bin1001001001000011010010…
…01010001011001010011010
32122011202022122220110200000
410210201221022023022122
510113323312033020442
6110430454531153430
74143223351040163
oct444415112131232
978152278813600
1020102211220122
116450333196589
122307b39a45876
13b2a826c52b45
144d6d48c3a76a
1524cd882a6d4c
hex12486928b29a

20102211220122 has 48 divisors (see below), whose sum is σ = 45169090048992. Its totient is φ = 6700565183760.

The previous prime is 20102211220121. The next prime is 20102211220129. The reversal of 20102211220122 is 22102211220102.

It is a happy number.

20102211220122 is a `hidden beast` number, since 201 + 0 + 221 + 1 + 220 + 1 + 22 = 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 = 20102211220095 and 20102211220104.

It is not an unprimeable number, because it can be changed into a prime (20102211220121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19187808 + ... + 20208324.

It is an arithmetic number, because the mean of its divisors is an integer number (941022709354).

Almost surely, 220102211220122 is an apocalyptic number.

20102211220122 is an abundant number, since it is smaller than the sum of its proper divisors (25066878828870).

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

20102211220122 is a wasteful number, since it uses less digits than its factorization.

20102211220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061065 (or 1061053 counting only the distinct ones).

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

Adding to 20102211220122 its reverse (22102211220102), we get a palindrome (42204422440224).

The spelling of 20102211220122 in words is "twenty trillion, one hundred two billion, two hundred eleven million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 40531 81062 121593 243186 364779 729558 1020517 1094337 2041034 2188674 3061551 3283011 6123102 6566022 9184653 9849033 18369306 19698066 27553959 55107918 82661877 165323754 247985631 495971262 41362574527 82725149054 124087723581 248175447162 372263170743 744526341486 1116789512229 2233579024458 3350368536687 6700737073374 10051105610061 20102211220122