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220100122101102 = 2365356176651889
BaseRepresentation
bin110010000010111000001101…
…100101111100010101101110
31001212022100212221111021200220
4302002320031211330111232
5212322110022224213402
62100040333351432210
764234465131220005
oct6202701545742556
91055270787437626
10220100122101102
1164148a34a22891
1220828a65685666
1395a7477463709
143c4cc8d207c3c
151a6a498c2cdbc
hexc82e0d97c56e

220100122101102 has 16 divisors (see below), whose sum is σ = 440874364032720. Its totient is φ = 73254354061952.

The previous prime is 220100122101077. The next prime is 220100122101103. The reversal of 220100122101102 is 201101221001022.

220100122101102 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2201001221011023 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220100122101103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28088322027 + ... + 28088329862.

It is an arithmetic number, because the mean of its divisors is an integer number (27554647752045).

Almost surely, 2220100122101102 is an apocalyptic number.

220100122101102 is an abundant number, since it is smaller than the sum of its proper divisors (220774241931618).

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

220100122101102 is a wasteful number, since it uses less digits than its factorization.

220100122101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56176652547.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 220100122101102 its reverse (201101221001022), we get a palindrome (421201343102124).

The spelling of 220100122101102 in words is "two hundred twenty trillion, one hundred billion, one hundred twenty-two million, one hundred one thousand, one hundred two".

Divisors: 1 2 3 6 653 1306 1959 3918 56176651889 112353303778 168529955667 337059911334 36683353683517 73366707367034 110050061050551 220100122101102