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2121000110112 = 253132716271289
BaseRepresentation
bin11110110111010101011…
…101010100100000100000
321111202200010220022121210
4132313111131110200200
5234222302012010422
64302212441150120
7306144234320262
oct36672535244040
97452603808553
102121000110112
117485692a4494
122a309278b340
131250179c6a70
147492a971b32
153a28ab8710c
hex1edd5754820

2121000110112 has 96 divisors (see below), whose sum is σ = 6018030224640. Its totient is φ = 650207139840.

The previous prime is 2121000110111. The next prime is 2121000110153. The reversal of 2121000110112 is 2110110001212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×21210001101122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2121000110111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2797437 + ... + 3473852.

It is an arithmetic number, because the mean of its divisors is an integer number (62687814840).

Almost surely, 22121000110112 is an apocalyptic number.

It is an amenable number.

2121000110112 is an abundant number, since it is smaller than the sum of its proper divisors (3897030114528).

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

2121000110112 is a wasteful number, since it uses less digits than its factorization.

2121000110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6271586 (or 6271578 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2121000110112 its reverse (2110110001212), we get a palindrome (4231110111324).

The spelling of 2121000110112 in words is "two trillion, one hundred twenty-one billion, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 271 312 416 542 624 813 1084 1248 1626 2168 3252 3523 4336 6504 7046 8672 10569 13008 14092 21138 26016 28184 42276 56368 84552 112736 169104 338208 6271289 12542578 18813867 25085156 37627734 50170312 75255468 81526757 100340624 150510936 163053514 200681248 244580271 301021872 326107028 489160542 602043744 652214056 978321084 1304428112 1699519319 1956642168 2608856224 3399038638 3913284336 5098557957 6798077276 7826568672 10197115914 13596154552 20394231828 22093751147 27192309104 40788463656 44187502294 54384618208 66281253441 81576927312 88375004588 132562506882 163153854624 176750009176 265125013764 353500018352 530250027528 707000036704 1060500055056 2121000110112