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212001201011300 = 225216366611952591
BaseRepresentation
bin110000001101000001100000…
…010001110011101001100100
31000210122010011012121212010212
4300031001200101303221210
5210241411424424330200
62030520001321234552
762440403251626641
oct6015014021635144
91023563135555125
10212001201011300
1161606228124778
121b93b305332a58
13913a82073832c
143a4ccacd16dc8
15197998764a035
hexc0d060473a64

212001201011300 has 72 divisors (see below), whose sum is σ = 462934679367552. Its totient is φ = 84267536112000.

The previous prime is 212001201011279. The next prime is 212001201011363. The reversal of 212001201011300 is 3110102100212.

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, 107598005 + ... + 109550595.

Almost surely, 2212001201011300 is an apocalyptic number.

212001201011300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212001201011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231467339683776).

212001201011300 is an abundant number, since it is smaller than the sum of its proper divisors (250933478356252).

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

212001201011300 is a wasteful number, since it uses less digits than its factorization.

212001201011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959429 (or 1959422 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 212001201011300 its reverse (3110102100212), we get a palindrome (215111303111512).

The spelling of 212001201011300 in words is "two hundred twelve trillion, one billion, two hundred one million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 326 652 815 1630 3260 4075 6661 8150 13322 16300 26644 33305 66610 133220 166525 333050 666100 1085743 1952591 2171486 3905182 4342972 5428715 7810364 9762955 10857430 19525910 21714860 27143575 39051820 48814775 54287150 97629550 108574300 195259100 318272333 636544666 1273089332 1591361665 3182723330 6365446660 7956808325 13006208651 15913616650 26012417302 31827233300 52024834604 65031043255 130062086510 260124173020 325155216275 650310432550 1300620865100 2120012010113 4240024020226 8480048040452 10600060050565 21200120101130 42400240202260 53000300252825 106000600505650 212001201011300