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101313202223322 = 234685979116873
BaseRepresentation
bin10111000010010011010001…
…011011011111100011011010
3111021201110002020222102020000
4113002103101123133203122
5101234403414232121242
6555250350443513430
730224431411645635
oct2702232133374332
9437643066872200
10101313202223322
112a310762475131
12b443216528876
13446ba4249733b
141b03829926c1c
15baa5c778ea4c
hex5c24d16df8da

101313202223322 has 40 divisors (see below), whose sum is σ = 227019954122676. Its totient is φ = 33770571392448.

The previous prime is 101313202223309. The next prime is 101313202223407. The reversal of 101313202223322 is 223322202313101.

101313202223322 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 1 + 320 + 2 + 2 + 2 + 332 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101308875083361 + 4327139961 = 10065231^2 + 65781^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6554278 + ... + 15671150.

Almost surely, 2101313202223322 is an apocalyptic number.

101313202223322 is an abundant number, since it is smaller than the sum of its proper divisors (125706751899354).

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

101313202223322 is an equidigital number, since it uses as much as digits as its factorization.

101313202223322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9185484 (or 9185475 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 101313202223322 its reverse (223322202313101), we get a palindrome (324635404536423).

The spelling of 101313202223322 in words is "one hundred one trillion, three hundred thirteen billion, two hundred two million, two hundred twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 68597 137194 205791 411582 617373 1234746 1852119 3704238 5556357 9116873 11112714 18233746 27350619 54701238 82051857 164103714 246155571 492311142 738466713 1476933426 625390137181 1250780274362 1876170411543 3752340823086 5628511234629 11257022469258 16885533703887 33771067407774 50656601111661 101313202223322