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212101000122200 = 235271011500007073
BaseRepresentation
bin110000001110011110011100…
…110001001100111101011000
31000210222122202101020222100112
4300032132130301030331120
5210300030322012402300
62031033504310423452
762450535336235640
oct6016363461147530
91023878671228315
10212101000122200
116164459011a922
121b956717961b88
13914706673bb87
143a53a59403520
15197c378e01e35
hexc0e79cc4cf58

212101000122200 has 96 divisors (see below), whose sum is σ = 569162684158560. Its totient is φ = 72000339456000.

The previous prime is 212101000122191. The next prime is 212101000122223. The reversal of 212101000122200 is 2221000101212.

212101000122200 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 (14).

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, 749862137 + ... + 750144936.

It is an arithmetic number, because the mean of its divisors is an integer number (5928777959985).

Almost surely, 2212101000122200 is an apocalyptic number.

212101000122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101000122200 is an abundant number, since it is smaller than the sum of its proper divisors (357061684036360).

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

212101000122200 is a wasteful number, since it uses less digits than its factorization.

212101000122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500007197 (or 1500007188 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212101000122200 its reverse (2221000101212), we get a palindrome (214322000223412).

The spelling of 212101000122200 in words is "two hundred twelve trillion, one hundred one billion, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 101 140 175 200 202 280 350 404 505 700 707 808 1010 1400 1414 2020 2525 2828 3535 4040 5050 5656 7070 10100 14140 17675 20200 28280 35350 70700 141400 1500007073 3000014146 6000028292 7500035365 10500049511 12000056584 15000070730 21000099022 30000141460 37500176825 42000198044 52500247555 60000282920 75000353650 84000396088 105000495110 150000707300 151500714373 210000990220 262501237775 300001414600 303001428746 420001980440 525002475550 606002857492 757503571865 1050004951100 1060505000611 1212005714984 1515007143730 2100009902200 2121010001222 3030014287460 3787517859325 4242020002444 5302525003055 6060028574920 7575035718650 8484040004888 10605050006110 15150071437300 21210100012220 26512625015275 30300142874600 42420200024440 53025250030550 106050500061100 212101000122200