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220122002211100 = 2252111491343026249
BaseRepresentation
bin110010000011001100100101…
…101111111100000100011100
31001212101110100210210001000021
4302003030211233330010130
5212322434330031223400
62100054352442241524
764236201263123113
oct6203144557740434
91055343323701007
10220122002211100
1164157242752320
12208311511b62a4
1395a95534c9872
143c4dd6709ac7a
151a6ad29a7871a
hexc83325bfc11c

220122002211100 has 72 divisors (see below), whose sum is σ = 524586053250000. Its totient is φ = 79507153881600.

The previous prime is 220122002211047. The next prime is 220122002211101. The reversal of 220122002211100 is 1112200221022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220122002211101) 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 23 ways as a sum of consecutive naturals, for example, 671349225 + ... + 671677024.

It is an arithmetic number, because the mean of its divisors is an integer number (7285917406250).

Almost surely, 2220122002211100 is an apocalyptic number.

220122002211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220122002211100 is an abundant number, since it is smaller than the sum of its proper divisors (304464051038900).

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

220122002211100 is a wasteful number, since it uses less digits than its factorization.

220122002211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343026423 (or 1343026416 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 220122002211100 its reverse (1112200221022), we get a palindrome (221234202432122).

The spelling of 220122002211100 in words is "two hundred twenty trillion, one hundred twenty-two billion, two million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 149 220 275 298 550 596 745 1100 1490 1639 2980 3278 3725 6556 7450 8195 14900 16390 32780 40975 81950 163900 1343026249 2686052498 5372104996 6715131245 13430262490 14773288739 26860524980 29546577478 33575656225 59093154956 67151312450 73866443695 134302624900 147732887390 200110911101 295465774780 369332218475 400221822202 738664436950 800443644404 1000554555505 1477328873900 2001109111010 2201220022111 4002218222020 4402440044222 5002772777525 8804880088444 10005545555050 11006100110555 20011091110100 22012200221110 44024400442220 55030500552775 110061001105550 220122002211100