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211020002210120 = 23527491919061497
BaseRepresentation
bin101111111110101111101100…
…010001011011000101001000
31000200011022111202222021211212
4233332233230101123011020
5210124322431031210440
62024445130053512252
762306456241501425
oct5776575421330510
91020138452867755
10211020002210120
1161268097a70824
121b80110b942688
13909914068280c
143a175cb898d4c
15195e1ab79e465
hexbfebec45b148

211020002210120 has 32 divisors (see below), whose sum is σ = 474967720755000. Its totient is φ = 84377295856128.

The previous prime is 211020002210113. The next prime is 211020002210197. The reversal of 211020002210120 is 21012200020112.

It can be written as a sum of positive squares in 4 ways, for example, as 96423876428356 + 114596125781764 = 9819566^2 + 10704958^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211020002210095 and 211020002210104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 959420789 + ... + 959640708.

Almost surely, 2211020002210120 is an apocalyptic number.

211020002210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211020002210120 is an abundant number, since it is smaller than the sum of its proper divisors (263947718544880).

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

211020002210120 is a wasteful number, since it uses less digits than its factorization.

211020002210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919064257 (or 1919064253 counting only the distinct ones).

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

Adding to 211020002210120 its reverse (21012200020112), we get a palindrome (232032202230232).

The spelling of 211020002210120 in words is "two hundred eleven trillion, twenty billion, two million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2749 5498 10996 13745 21992 27490 54980 109960 1919061497 3838122994 7676245988 9595307485 15352491976 19190614970 38381229940 76762459880 5275500055253 10551000110506 21102000221012 26377500276265 42204000442024 52755000552530 105510001105060 211020002210120