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211120200120020 = 2253891553169310321
BaseRepresentation
bin110000000000001101000000…
…100010000111011011010100
31000200111220010202000111102212
4300000031000202013123110
5210132443132212320040
62025003140410452552
762316634240620632
oct6000150042073324
91020456122014385
10211120200120020
11612a6635091524
121b818613a34158
1390a571b1970b9
143a1c3b4d16352
151961ac307dd65
hexc003408876d4

211120200120020 has 96 divisors (see below), whose sum is σ = 445084194915360. Its totient is φ = 84118880747520.

The previous prime is 211120200120013. The next prime is 211120200120029. The reversal of 211120200120020 is 20021002021112.

It can be written as a sum of positive squares in 16 ways, for example, as 121831836760516 + 89288363359504 = 11037746^2 + 9449252^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211120200119977 and 211120200120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211120200120029) 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, 20455396460 + ... + 20455406780.

It is an arithmetic number, because the mean of its divisors is an integer number (4636293697035).

Almost surely, 2211120200120020 is an apocalyptic number.

211120200120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120200120020 is an abundant number, since it is smaller than the sum of its proper divisors (233963994795340).

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

211120200120020 is a wasteful number, since it uses less digits than its factorization.

211120200120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13965 (or 13963 counting only the distinct ones).

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

Adding to 211120200120020 its reverse (20021002021112), we get a palindrome (231141202141132).

The spelling of 211120200120020 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 389 778 1553 1556 1693 1945 3106 3386 3890 6212 6772 7765 7780 8465 10321 15530 16930 20642 31060 33860 41284 51605 103210 206420 604117 658577 1208234 1317154 2416468 2629229 2634308 3020585 3292885 4014869 5258458 6041170 6585770 8029738 10516916 12082340 13146145 13171540 16028513 16059476 17473453 20074345 26292290 32057026 34946906 40148690 52584580 64114052 69893812 80142565 80297380 87367265 160285130 174734530 320570260 349469060 1022770081 2045540162 4091080324 5113850405 6235091557 6797173217 10227700810 12470183114 13594346434 20455401620 24940366228 27136272509 27188692868 31175457785 33985866085 54272545018 62350915570 67971732170 108545090036 124701831140 135681362545 135943464340 271362725090 542725450180 10556010006001 21112020012002 42224040024004 52780050030005 105560100060010 211120200120020