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212000120211100 = 225213367444351541
BaseRepresentation
bin110000001101000000011111…
…110110111000011010011100
31000210122000100212220111222211
4300031000133312320122130
5210241402221233223400
62030515302152050204
762440334416160644
oct6015003766703234
91023560325814884
10212000120211100
1161605823033571
121b93b063393964
13913a6aa84a7a0
143a4cc09575524
151979922807dba
hexc0d01fdb869c

212000120211100 has 72 divisors (see below), whose sum is σ = 496777914331328. Its totient is φ = 78063678547200.

The previous prime is 212000120211097. The next prime is 212000120211101. The reversal of 212000120211100 is 1112021000212.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000120211101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221698671 + ... + 222652870.

Almost surely, 2212000120211100 is an apocalyptic number.

212000120211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000120211100 is an abundant number, since it is smaller than the sum of its proper divisors (284777794120228).

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

212000120211100 is a wasteful number, since it uses less digits than its factorization.

212000120211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444351935 (or 444351928 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212000120211100 its reverse (1112021000212), we get a palindrome (213112141211312).

The spelling of 212000120211100 in words is "two hundred twelve trillion, one hundred twenty million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 367 650 734 1300 1468 1835 3670 4771 7340 9175 9542 18350 19084 23855 36700 47710 95420 119275 238550 477100 444351541 888703082 1777406164 2221757705 4443515410 5776570033 8887030820 11108788525 11553140066 22217577050 23106280132 28882850165 44435154100 57765700330 115531400660 144414250825 163077015547 288828501650 326154031094 577657003300 652308062188 815385077735 1630770155470 2120001202111 3261540310940 4076925388675 4240002404222 8153850777350 8480004808444 10600006010555 16307701554700 21200012021110 42400024042220 53000030052775 106000060105550 212000120211100