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220100110020021 = 37115912891611419
BaseRepresentation
bin110010000010111000001100…
…110111110110110110110101
31001212022100212002202111120110
4302002320030313312312311
5212322110011131120041
62100040332240453233
764234464623432130
oct6202701467666665
91055270762674513
10220100110020021
1164148a29121120
1220828a6161a219
1395a7474ac384a
143c4cc8b781217
151a6a497b43516
hexc82e0cdf6db5

220100110020021 has 32 divisors (see below), whose sum is σ = 365881548211200. Its totient is φ = 114337455166080.

The previous prime is 220100110020001. The next prime is 220100110020047. The reversal of 220100110020021 is 120020011001022.

It is not a de Polignac number, because 220100110020021 - 29 = 220100110019509 is a prime.

It is a super-3 number, since 3×2201001100200213 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220100110019979 and 220100110020006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220100110020001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135782050 + ... + 137393468.

It is an arithmetic number, because the mean of its divisors is an integer number (11433798381600).

Almost surely, 2220100110020021 is an apocalyptic number.

220100110020021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220100110020021 is a deficient number, since it is larger than the sum of its proper divisors (145781438191179).

220100110020021 is a wasteful number, since it uses less digits than its factorization.

220100110020021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202729.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220100110020021 its reverse (120020011001022), we get a palindrome (340120121021043).

The spelling of 220100110020021 in words is "two hundred twenty trillion, one hundred billion, one hundred ten million, twenty thousand, twenty-one".

Divisors: 1 3 7 11 21 33 77 231 591289 1611419 1773867 4139023 4834257 6504179 11279933 12417069 17725609 19512537 33839799 45529253 53176827 124079263 136587759 372237789 952814329091 2858442987273 6669700303637 10480957620001 20009100910911 31442872860003 73366703340007 220100110020021