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220100110120 = 235113131598171
BaseRepresentation
bin1100110011111011111…
…1010010011100101000
3210001010011012002000101
43030332333102130220
512101231112010440
6245040153115144
721621200032102
oct3147677223450
9701104162011
10220100110120
1185386857460
12367a70b8ab4
13179a8678767
14a91d7c6572
155ad2db769a
hex333efd2728

220100110120 has 64 divisors (see below), whose sum is σ = 541972088640. Its totient is φ = 79780646400.

The previous prime is 220100110093. The next prime is 220100110133. The reversal of 220100110120 is 21011001022.

It is a super-2 number, since 2×2201001101202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 220100110097 and 220100110106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 661366 + ... + 936805.

It is an arithmetic number, because the mean of its divisors is an integer number (8468313885).

Almost surely, 2220100110120 is an apocalyptic number.

220100110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220100110120 is an abundant number, since it is smaller than the sum of its proper divisors (321871978520).

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

220100110120 is a wasteful number, since it uses less digits than its factorization.

220100110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598506 (or 1598502 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 220100110120 its reverse (21011001022), we get a palindrome (241111111142).

The spelling of 220100110120 in words is "two hundred twenty billion, one hundred million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 313 440 626 1252 1565 2504 3130 3443 6260 6886 12520 13772 17215 27544 34430 68860 137720 1598171 3196342 6392684 7990855 12785368 15981710 17579881 31963420 35159762 63926840 70319524 87899405 140639048 175798810 351597620 500227523 703195240 1000455046 2000910092 2501137615 4001820184 5002275230 5502502753 10004550460 11005005506 20009100920 22010011012 27512513765 44020022024 55025027530 110050055060 220100110120