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212301102100 = 225223131704617
BaseRepresentation
bin1100010110111000100…
…0011011110000010100
3202021222121222102021111
43011232020123300110
511434243040231400
6241310233224404
721224006410303
oct3055610336024
9667877872244
10212301102100
118204448a28a
123518b262104
1317034979309
14a3bdabc43a
1557c83703ba
hex316e21bc14

212301102100 has 72 divisors (see below), whose sum is σ = 484393871808. Its totient is φ = 80608070400.

The previous prime is 212301102037. The next prime is 212301102107. The reversal of 212301102100 is 1201103212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212301102107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51009 + ... + 653608.

It is an arithmetic number, because the mean of its divisors is an integer number (6727692664).

Almost surely, 2212301102100 is an apocalyptic number.

212301102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212301102100 is an abundant number, since it is smaller than the sum of its proper divisors (272092769708).

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

212301102100 is a wasteful number, since it uses less digits than its factorization.

212301102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704785 (or 704778 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 212301102100 its reverse (1201103212), we get a palindrome (213502205312).

The spelling of 212301102100 in words is "two hundred twelve billion, three hundred one million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 131 230 262 460 524 575 655 1150 1310 2300 2620 3013 3275 6026 6550 12052 13100 15065 30130 60260 75325 150650 301300 704617 1409234 2818468 3523085 7046170 14092340 16206191 17615425 32412382 35230850 64824764 70461700 81030955 92304827 162061910 184609654 324123820 369219308 405154775 461524135 810309550 923048270 1620619100 1846096540 2123011021 2307620675 4246022042 4615241350 8492044084 9230482700 10615055105 21230110210 42460220420 53075275525 106150551050 212301102100