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202221100101112 = 234710133715801101
BaseRepresentation
bin101101111110101101000100…
…110101100110110111111000
3222112000011000011022210022021
4231332231010311212313320
5203001142303111213422
61554031031345004224
760410664242550421
oct5576550465466770
9875004004283267
10202221100101112
115948553a128624
121a81b979323674
1388ab4a2404a41
1437d17a6a04648
15185a37cb12dc7
hexb7eb44d66df8

202221100101112 has 64 divisors (see below), whose sum is σ = 392226330637440. Its totient is φ = 97688720640000.

The previous prime is 202221100101047. The next prime is 202221100101179. The reversal of 202221100101112 is 211101001122202.

It is a super-2 number, since 2×2022211001011122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4897362 + ... + 20698462.

It is an arithmetic number, because the mean of its divisors is an integer number (6128536416210).

Almost surely, 2202221100101112 is an apocalyptic number.

It is an amenable number.

202221100101112 is a deficient number, since it is larger than the sum of its proper divisors (190005230536328).

202221100101112 is a wasteful number, since it uses less digits than its factorization.

202221100101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15801592 (or 15801588 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 202221100101112 its reverse (211101001122202), we get a palindrome (413322101223314).

The spelling of 202221100101112 in words is "two hundred two trillion, two hundred twenty-one billion, one hundred million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 4 8 47 94 101 188 202 337 376 404 674 808 1348 2696 4747 9494 15839 18988 31678 34037 37976 63356 68074 126712 136148 272296 1599739 3199478 6398956 12797912 15801101 31602202 63204404 126408808 742651747 1485303494 1595911201 2970606988 3191822402 5324971037 5941213976 6383644804 10649942074 12767289608 21299884148 42599768296 75007826447 150015652894 250273638739 300031305788 500547277478 537822074737 600062611576 1001094554956 1075644149474 2002189109912 2151288298948 4302576597896 25277637512639 50555275025278 101110550050556 202221100101112