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2100210011112 = 2332382118312531
BaseRepresentation
bin11110100011111110010…
…001011000101111101000
321102210000020122212022010
4132203332101120233220
5233402212230323422
64244453445155520
7304510106354613
oct36437621305750
97383006585263
102100210011112
1173a76a887394
1229b0500bbba0
13123083724a35
147391777b17a
153997089cb0c
hex1e8fe458be8

2100210011112 has 128 divisors (see below), whose sum is σ = 5490646456320. Its totient is φ = 668187168000.

The previous prime is 2100210011063. The next prime is 2100210011149. The reversal of 2100210011112 is 2111100120012.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 829793287 + ... + 829795817.

It is an arithmetic number, because the mean of its divisors is an integer number (42895675440).

Almost surely, 22100210011112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100210011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745323228160).

2100210011112 is an abundant number, since it is smaller than the sum of its proper divisors (3390436445208).

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

2100210011112 is a wasteful number, since it uses less digits than its factorization.

2100210011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5215 (or 5211 counting only the distinct ones).

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

Adding to 2100210011112 its reverse (2111100120012), we get a palindrome (4211310131124).

The spelling of 2100210011112 in words is "two trillion, one hundred billion, two hundred ten million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 821 1642 1831 2463 2531 3284 3662 4926 5062 5493 6568 7324 7593 9852 10124 10986 14648 15186 18883 19704 20248 21972 30372 37766 42113 43944 56649 58213 60744 75532 84226 113298 116426 126339 151064 168452 174639 226596 232852 252678 336904 349278 453192 465704 505356 698556 1010712 1397112 1503251 2077951 3006502 4155902 4509753 4634261 6013004 6233853 8311804 9019506 9268522 12026008 12467706 13902783 16623608 18039012 18537044 24935412 27805566 34574773 36078024 37074088 47792873 49870824 55611132 69149546 95585746 103724319 106588003 111222264 138299092 143378619 191171492 207448638 213176006 276598184 286757238 319764009 382342984 414897276 426352012 573514476 639528018 829794552 852704024 1147028952 1279056036 2558112072 3804728281 7609456562 11414184843 15218913124 22828369686 30437826248 45656739372 87508750463 91313478744 175017500926 262526251389 350035001852 525052502778 700070003704 1050105005556 2100210011112