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220120121020100 = 22527615155037963
BaseRepresentation
bin110010000011001010110101…
…100111110000111011000100
31001212101021111200222122002112
4302003022311213300323010
5212322422001440120400
62100053442042000152
764236103541222210
oct6203126547607304
91055337450878075
10220120121020100
1164156467883714
12208309071a6058
1395a93138502b2
143c4dc292cb940
151a6ac69833835
hexc832b59f0ec4

220120121020100 has 72 divisors (see below), whose sum is σ = 554847046141248. Its totient is φ = 74232546652800.

The previous prime is 220120121020081. The next prime is 220120121020123. The reversal of 220120121020100 is 1020121021022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

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, 2577476282 + ... + 2577561681.

It is an arithmetic number, because the mean of its divisors is an integer number (7706208974184).

Almost surely, 2220120121020100 is an apocalyptic number.

220120121020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220120121020100 is an abundant number, since it is smaller than the sum of its proper divisors (334726925121148).

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

220120121020100 is a wasteful number, since it uses less digits than its factorization.

220120121020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5155038045 (or 5155038038 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220120121020100 its reverse (1020121021022), we get a palindrome (221140242041122).

The spelling of 220120121020100 in words is "two hundred twenty trillion, one hundred twenty billion, one hundred twenty-one million, twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 61 70 100 122 140 175 244 305 350 427 610 700 854 1220 1525 1708 2135 3050 4270 6100 8540 10675 21350 42700 5155037963 10310075926 20620151852 25775189815 36085265741 51550379630 72170531482 103100759260 128875949075 144341062964 180426328705 257751898150 314457315743 360852657410 515503796300 628914631486 721705314820 902131643525 1257829262972 1572286578715 1804263287050 2201201210201 3144573157430 3608526574100 4402402420402 6289146314860 7861432893575 8804804840804 11006006051005 15722865787150 22012012102010 31445731574300 44024024204020 55030030255025 110060060510050 220120121020100