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20101310310222 = 2321958775761141
BaseRepresentation
bin1001001001000001100110…
…11101011110011101001110
32122011122222212200111121200
410210200303131132131032
510113314440414411342
6110430225305410330
74143162131321541
oct444406335363516
978148885614550
1020101310310222
11644aa106a2649
1223079281999a6
13b2a7123cb26b
144d6ca1324858
1524cd3414a94c
hex12483375e74e

20101310310222 has 24 divisors (see below), whose sum is σ = 45845093690760. Its totient is φ = 6347782203120.

The previous prime is 20101310310217. The next prime is 20101310310251. The reversal of 20101310310222 is 22201301310102.

20101310310222 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 131 + 0 + 310 + 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 = 20101310310195 and 20101310310204.

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 11 ways as a sum of consecutive naturals, for example, 29387880229 + ... + 29387880912.

It is an arithmetic number, because the mean of its divisors is an integer number (1910212237115).

Almost surely, 220101310310222 is an apocalyptic number.

20101310310222 is an abundant number, since it is smaller than the sum of its proper divisors (25743783380538).

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

20101310310222 is a wasteful number, since it uses less digits than its factorization.

20101310310222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58775761168 (or 58775761165 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20101310310222 its reverse (22201301310102), we get a palindrome (42302611620324).

The spelling of 20101310310222 in words is "twenty trillion, one hundred one billion, three hundred ten million, three hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 58775761141 117551522282 176327283423 352654566846 528981850269 1057963700538 1116739461679 2233478923358 3350218385037 6700436770074 10050655155111 20101310310222