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213422054024 = 23172535693061
BaseRepresentation
bin1100011011000011110…
…0100001101010001000
3202101212202020200020102
43012300330201222020
511444042021212044
6242013355144532
721263540345564
oct3066074415210
9671782220212
10213422054024
118256a205033
1235442745148
1317182c8478a
14a4889126a4
15584199424e
hex31b0f21a88

213422054024 has 96 divisors (see below), whose sum is σ = 434013697800. Its totient is φ = 98333614080.

The previous prime is 213422053987. The next prime is 213422054029. The reversal of 213422054024 is 420450224312.

It can be written as a sum of positive squares in 12 ways, for example, as 131558544100 + 81863509924 = 362710^2 + 286118^2 .

It is not an unprimeable number, because it can be changed into a prime (213422054029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69721454 + ... + 69724514.

Almost surely, 2213422054024 is an apocalyptic number.

It is an amenable number.

213422054024 is an abundant number, since it is smaller than the sum of its proper divisors (220591643776).

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

213422054024 is a wasteful number, since it uses less digits than its factorization.

213422054024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3723 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 213422054024 its reverse (420450224312), we get a palindrome (633872278336).

The spelling of 213422054024 in words is "two hundred thirteen billion, four hundred twenty-two million, fifty-four thousand, twenty-four".

Divisors: 1 2 4 8 17 34 53 68 106 136 212 289 424 569 578 901 1138 1156 1802 2276 2312 3061 3604 4552 6122 7208 9673 12244 15317 19346 24488 30157 30634 38692 52037 60314 61268 77384 104074 120628 122536 162233 164441 208148 241256 324466 328882 416296 512669 648932 657764 884629 1025338 1297864 1315528 1741709 1769258 2050676 2757961 3483418 3538516 4101352 5515922 6966836 7077032 8715373 11031844 13933672 17430746 22063688 29609053 34861492 46885337 59218106 69722984 92310577 93770674 118436212 184621154 187541348 236872424 369242308 375082696 503353901 738484616 1006707802 1569279809 2013415604 3138559618 4026831208 6277119236 12554238472 26677756753 53355513506 106711027012 213422054024