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202100211012 = 2237197120110169
BaseRepresentation
bin1011110000111000011…
…1000111110101000100
3201022122201012110101110
42330032013013311010
511302400123223022
6232502112525020
720413142310120
oct2741607076504
9638581173343
10202100211012
117878a333887
1233202b50770
131609a48209b
149ad2dc4580
1553cca2e00c
hex2f0e1c7d44

202100211012 has 96 divisors (see below), whose sum is σ = 542173927680. Its totient is φ = 57396326400.

The previous prime is 202100211011. The next prime is 202100211017. The reversal of 202100211012 is 210112001202.

202100211012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (202100211011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19869064 + ... + 19879232.

It is an arithmetic number, because the mean of its divisors is an integer number (5647645080).

Almost surely, 2202100211012 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 202100211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271086963840).

202100211012 is an abundant number, since it is smaller than the sum of its proper divisors (340073716668).

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

202100211012 is a wasteful number, since it uses less digits than its factorization.

202100211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11581 (or 11579 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 202100211012 its reverse (210112001202), we get a palindrome (412212212214).

The spelling of 202100211012 in words is "two hundred two billion, one hundred million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 197 394 591 788 1182 1201 1379 2364 2402 2758 3603 4137 4804 5516 7206 8274 8407 10169 14412 16548 16814 20338 25221 30507 33628 40676 50442 61014 71183 100884 122028 142366 213549 236597 284732 427098 473194 709791 854196 946388 1419582 1656179 2003293 2839164 3312358 4006586 4968537 6009879 6624716 8013172 9937074 12019758 12212969 14023051 19874148 24039516 24425938 28046102 36638907 42069153 48851876 56092204 73277814 84138306 85490783 146555628 168276612 170981566 256472349 341963132 512944698 1025889396 2405954893 4811909786 7217864679 9623819572 14435729358 16841684251 28871458716 33683368502 50525052753 67366737004 101050105506 202100211012