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2100212120120 = 235236773371993
BaseRepresentation
bin11110100011111110011…
…001011011101000111000
321102210000101122000022112
4132203332121123220320
5233402213300320440
64244454002311452
7304510133320412
oct36437631335070
97383011560275
102100212120120
1173a770a97974
1229b050958588
13123083cb297a
1473917b699b2
1539970b67965
hex1e8fe65ba38

2100212120120 has 64 divisors (see below), whose sum is σ = 4938217773120. Its totient is φ = 802372240384.

The previous prime is 2100212120101. The next prime is 2100212120131. The reversal of 2100212120120 is 210212120012.

It is a junction number, because it is equal to n+sod(n) for n = 2100212120095 and 2100212120104.

It is a congruent number.

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, 1063157 + ... + 2308836.

It is an arithmetic number, because the mean of its divisors is an integer number (77159652705).

Almost surely, 22100212120120 is an apocalyptic number.

2100212120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100212120120 is an abundant number, since it is smaller than the sum of its proper divisors (2838005653000).

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

2100212120120 is a wasteful number, since it uses less digits than its factorization.

2100212120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372704 (or 3372700 counting only the distinct ones).

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

Adding to 2100212120120 its reverse (210212120012), we get a palindrome (2310424240132).

The spelling of 2100212120120 in words is "two trillion, one hundred billion, two hundred twelve million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 677 920 1354 2708 3385 5416 6770 13540 15571 27080 31142 62284 77855 124568 155710 311420 622840 3371993 6743986 13487972 16859965 26975944 33719930 67439860 77555839 134879720 155111678 310223356 387779195 620446712 775558390 1551116780 2282839261 3102233560 4565678522 9131357044 11414196305 18262714088 22828392610 45656785220 52505303003 91313570440 105010606006 210021212012 262526515015 420042424024 525053030030 1050106060060 2100212120120