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212131130240240 = 2452651639128003
BaseRepresentation
bin110000001110111010100000…
…101010011110110011110000
31000211002112112012101120010022
4300032322200222132303300
5210301024023320141430
62031055410151423012
762452653106066451
oct6016724052366360
91024075465346108
10212131130240240
1161656341856522
121b960526384a68
139149b58a613a3
143a552b6c3d128
15197d03e17e4e5
hexc0eea0a9ecf0

212131130240240 has 20 divisors (see below), whose sum is σ = 493204877808744. Its totient is φ = 84852452096064.

The previous prime is 212131130240233. The next prime is 212131130240279. The reversal of 212131130240240 is 42042031131212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1325819563922 + ... + 1325819564081.

Almost surely, 2212131130240240 is an apocalyptic number.

212131130240240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212131130240240 is an abundant number, since it is smaller than the sum of its proper divisors (281073747568504).

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

212131130240240 is a wasteful number, since it uses less digits than its factorization.

212131130240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651639128016 (or 2651639128010 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 212131130240240 its reverse (42042031131212), we get a palindrome (254173161371452).

The spelling of 212131130240240 in words is "two hundred twelve trillion, one hundred thirty-one billion, one hundred thirty million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2651639128003 5303278256006 10606556512012 13258195640015 21213113024024 26516391280030 42426226048048 53032782560060 106065565120120 212131130240240