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222301301102101 = 131729311118896819
BaseRepresentation
bin110010100010111010001110…
…000101011101011000010101
31002011002210111220010021111001
4302202322032011131120111
5213114141031040231401
62104443450300543301
764552511322060544
oct6242721605353025
91064083456107431
10222301301102101
11649174a80a8761
1220b23593b51b31
139706bcc368380
143cc76245a015b
151aa787891d601
hexca2e8e15d615

222301301102101 has 32 divisors (see below), whose sum is σ = 270683518694400. Its totient is φ = 180455678807040.

The previous prime is 222301301102059. The next prime is 222301301102129. The reversal of 222301301102101 is 101201103103222.

It is not a de Polignac number, because 222301301102101 - 243 = 213505208079893 is a prime.

It is a super-2 number, since 2×2223013011021012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222301301102141) 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 31 ways as a sum of consecutive naturals, for example, 559249731 + ... + 559647088.

It is an arithmetic number, because the mean of its divisors is an integer number (8458859959200).

Almost surely, 2222301301102101 is an apocalyptic number.

It is an amenable number.

222301301102101 is a deficient number, since it is larger than the sum of its proper divisors (48382217592299).

222301301102101 is a wasteful number, since it uses less digits than its factorization.

222301301102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118896909.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 222301301102101 its reverse (101201103103222), we get a palindrome (323502404205323).

The spelling of 222301301102101 in words is "two hundred twenty-two trillion, three hundred one billion, three hundred one million, one hundred two thousand, one hundred one".

Divisors: 1 13 17 29 31 221 377 403 493 527 899 6409 6851 11687 15283 198679 1118896819 14545658647 19021245923 32448007751 34685801389 247276196999 421824100763 450915418057 551616131767 589658623613 1005888240281 7171009712971 7665562106969 13076547123653 17100100084777 222301301102101