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212013301000 = 2353212013301
BaseRepresentation
bin1100010101110011111…
…0100011110100001000
3202021020120102121101111
43011130332203310020
511433200401113000
6241221512500104
721213613216114
oct3053476436410
9667216377344
10212013301000
1181a06a88036
123510a9aa634
1316cba15cbc7
14a3937a2744
1557ace70cba
hex315cfa3d08

212013301000 has 32 divisors (see below), whose sum is σ = 496111126680. Its totient is φ = 84805320000.

The previous prime is 212013300979. The next prime is 212013301013. The reversal of 212013301000 is 103310212.

212013301000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10740835044 + 201272465956 = 103638^2 + 448634^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106005651 + ... + 106007650.

Almost surely, 2212013301000 is an apocalyptic number.

212013301000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212013301000 is an abundant number, since it is smaller than the sum of its proper divisors (284097825680).

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

212013301000 is a wasteful number, since it uses less digits than its factorization.

212013301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212013322 (or 212013308 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 212013301000 its reverse (103310212), we get a palindrome (212116611212).

The spelling of 212013301000 in words is "two hundred twelve billion, thirteen million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 212013301 424026602 848053204 1060066505 1696106408 2120133010 4240266020 5300332525 8480532040 10600665050 21201330100 26501662625 42402660200 53003325250 106006650500 212013301000