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212133342120024 = 23313679914558077
BaseRepresentation
bin110000001110111100100100…
…100000001000100001011000
31000211002202020100102200202210
4300032330210200020201120
5210301043041040320044
62031100413443555120
762453061654544533
oct6016744440104130
91024082210380683
10212133342120024
116165727735a546
121b960a4308baa0
13914a11c0920b0
143a554468cda1a
15197d11d4461b9
hexc0ef24808858

212133342120024 has 32 divisors (see below), whose sum is σ = 571128228785520. Its totient is φ = 65271797575296.

The previous prime is 212133342119989. The next prime is 212133342120107. The reversal of 212133342120024 is 420021243331212.

It is a happy number.

It is a super-2 number, since 2×2121333421200242 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212133342119973 and 212133342120000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 339957278727 + ... + 339957279350.

Almost surely, 2212133342120024 is an apocalyptic number.

212133342120024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212133342120024 is an abundant number, since it is smaller than the sum of its proper divisors (358994886665496).

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

212133342120024 is a wasteful number, since it uses less digits than its factorization.

212133342120024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679914558099 (or 679914558095 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 212133342120024 its reverse (420021243331212), we get a palindrome (632154585451236).

The spelling of 212133342120024 in words is "two hundred twelve trillion, one hundred thirty-three billion, three hundred forty-two million, one hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 679914558077 1359829116154 2039743674231 2719658232308 4079487348462 5439316464616 8158974696924 8838889255001 16317949393848 17677778510002 26516667765003 35355557020004 53033335530006 70711114040008 106066671060012 212133342120024