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212431430311220 = 22519155610322071
BaseRepresentation
bin110000010011010010001011…
…111100010101110100110100
31000212011020122121221202212102
4300103102023330111310310
5210320434032124424340
62031445352444241232
762513443606425461
oct6023221374256464
91025136577852772
10212431430311220
116176173337556a
121b9aa774240218
13916c275ab4193
143a65a43b72668
151985c67d63215
hexc1348bf15d34

212431430311220 has 24 divisors (see below), whose sum is σ = 448441637188608. Its totient is φ = 84527689546400.

The previous prime is 212431430311157. The next prime is 212431430311229. The reversal of 212431430311220 is 22113034134212.

It is a happy number.

It is a super-2 number, since 2×2124314303112202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212431430311229) 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 7 ways as a sum of consecutive naturals, for example, 27805157216 + ... + 27805164855.

It is an arithmetic number, because the mean of its divisors is an integer number (18685068216192).

Almost surely, 2212431430311220 is an apocalyptic number.

212431430311220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212431430311220 is an abundant number, since it is smaller than the sum of its proper divisors (236010206877388).

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

212431430311220 is a wasteful number, since it uses less digits than its factorization.

212431430311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55610322271 (or 55610322269 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 212431430311220 its reverse (22113034134212), we get a palindrome (234544464445432).

The spelling of 212431430311220 in words is "two hundred twelve trillion, four hundred thirty-one billion, four hundred thirty million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 191 382 764 955 1910 3820 55610322071 111220644142 222441288284 278051610355 556103220710 1112206441420 10621571515561 21243143031122 42486286062244 53107857577805 106215715155610 212431430311220