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202100011212 = 2231133116272843
BaseRepresentation
bin1011110000111000011…
…0010111000011001100
3201022122200211022022110
42330032012113003030
511302400100324322
6232502104344020
720413140515451
oct2741606270314
9638580738273
10202100011212
117878a207760
1233202a75010
131609a412168
149ad2d71828
1553cc9dec0c
hex2f0e1970cc

202100011212 has 96 divisors (see below), whose sum is σ = 516489329664. Its totient is φ = 60998414400.

The previous prime is 202100011199. The next prime is 202100011213. The reversal of 202100011212 is 212110001202.

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 (202100011213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71085463 + ... + 71088305.

It is an arithmetic number, because the mean of its divisors is an integer number (5380097184).

Almost surely, 2202100011212 is an apocalyptic number.

202100011212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202100011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258244664832).

202100011212 is an abundant number, since it is smaller than the sum of its proper divisors (314389318452).

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

202100011212 is a wasteful number, since it uses less digits than its factorization.

202100011212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4819 (or 4817 counting only the distinct ones).

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

Adding to 202100011212 its reverse (212110001202), we get a palindrome (414210012414).

The spelling of 202100011212 in words is "two hundred two billion, one hundred million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 331 662 993 1324 1627 1986 2843 3254 3641 3972 4881 5686 6508 7282 8529 9762 10923 11372 14564 17058 17897 19524 21846 31273 34116 35794 43692 53691 62546 71588 93819 107382 125092 187638 214764 375276 538537 941033 1077074 1615611 1882066 2154148 2823099 3231222 3764132 4625561 5646198 5923907 6462444 9251122 10351363 11292396 11847814 13876683 17771721 18502244 20702726 23695628 27753366 31054089 35543442 41405452 50881171 55506732 62108178 71086884 101762342 124216356 152643513 203524684 305287026 610574052 1531060691 3062121382 4593182073 6124242764 9186364146 16841667601 18372728292 33683335202 50525002803 67366670404 101050005606 202100011212