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212301122100 = 223521741627671
BaseRepresentation
bin1100010110111000100…
…0100000101000110100
3202021222122000102201020
43011232020200220310
511434243041401400
6241310233501140
721224006522514
oct3055610405064
9667878012636
10212301122100
11820444a3311
123518b2717b0
1317034985452
14a3bdac5844
1557c83762a0
hex316e220a34

212301122100 has 72 divisors (see below), whose sum is σ = 650390747328. Its totient is φ = 53283417600.

The previous prime is 212301122069. The next prime is 212301122113. The reversal of 212301122100 is 1221103212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212301122100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20808736 + ... + 20818935.

It is an arithmetic number, because the mean of its divisors is an integer number (9033204824).

Almost surely, 2212301122100 is an apocalyptic number.

212301122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212301122100 is an abundant number, since it is smaller than the sum of its proper divisors (438089625228).

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

212301122100 is a wasteful number, since it uses less digits than its factorization.

212301122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41627705 (or 41627698 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212301122100 its reverse (1221103212), we get a palindrome (213522225312).

The spelling of 212301122100 in words is "two hundred twelve billion, three hundred one million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 41627671 83255342 124883013 166510684 208138355 249766026 416276710 499532052 624415065 707670407 832553420 1040691775 1248830130 1415340814 2081383550 2123011221 2497660260 2830681628 3122075325 3538352035 4162767100 4246022442 6244150650 7076704070 8492044884 10615056105 12488301300 14153408140 17691760175 21230112210 35383520350 42460224420 53075280525 70767040700 106150561050 212301122100