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213424131432 = 23329613349999
BaseRepresentation
bin1100011011000100010…
…0011100110101101000
3202101212220011012220110
43012301010130311220
511444043034201212
6242013511454320
721263564120301
oct3066104346550
9671786135813
10213424131432
11825703a38a6
12354433873a0
1317183531205
14a488cd37a8
155841c54a3c
hex31b111cd68

213424131432 has 64 divisors (see below), whose sum is σ = 552060000000. Its totient is φ = 68675652864.

The previous prime is 213424131413. The next prime is 213424131451. The reversal of 213424131432 is 234131424312.

It is an interprime number because it is at equal distance from previous prime (213424131413) and next prime (213424131451).

It is a super-2 number, since 2×2134241314322 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 213424131432.

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 15 ways as a sum of consecutive naturals, for example, 4243569 + ... + 4293567.

It is an arithmetic number, because the mean of its divisors is an integer number (8625937500).

Almost surely, 2213424131432 is an apocalyptic number.

It is an amenable number.

213424131432 is an abundant number, since it is smaller than the sum of its proper divisors (338635868568).

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

213424131432 is a wasteful number, since it uses less digits than its factorization.

213424131432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56170 (or 56166 counting only the distinct ones).

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

Adding to 213424131432 its reverse (234131424312), we get a palindrome (447555555744).

The spelling of 213424131432 in words is "two hundred thirteen billion, four hundred twenty-four million, one hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 6133 12266 18399 24532 36798 49064 49999 73596 99998 147192 149997 177857 199996 299994 355714 399992 533571 599988 711428 1067142 1199976 1422856 1449971 2134284 2899942 4268568 4349913 5799884 8699826 11599768 17399652 34799304 306643867 613287734 919931601 1226575468 1839863202 2453150936 3679726404 7359452808 8892672143 17785344286 26678016429 35570688572 53356032858 71141377144 106712065716 213424131432