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213421024032 = 2536136444847
BaseRepresentation
bin1100011011000011100…
…0100110001100100000
3202101212200022100100120
43012300320212030200
511444041240232112
6242013321120240
721263525525646
oct3066070461440
9671780270316
10213421024032
11825696711a7
1235442329080
13171829b3a08
14a488725196
15584183de8c
hex31b0e26320

213421024032 has 48 divisors (see below), whose sum is σ = 569414305152. Its totient is φ = 69974104320.

The previous prime is 213421024007. The next prime is 213421024051. The reversal of 213421024032 is 230420124312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 213421023993 and 213421024011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18216568 + ... + 18228279.

It is an arithmetic number, because the mean of its divisors is an integer number (11862798024).

Almost surely, 2213421024032 is an apocalyptic number.

It is an amenable number.

213421024032 is an abundant number, since it is smaller than the sum of its proper divisors (355993281120).

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

213421024032 is a wasteful number, since it uses less digits than its factorization.

213421024032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36444921 (or 36444913 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 213421024032 its reverse (230420124312), we get a palindrome (443841148344).

The spelling of 213421024032 in words is "two hundred thirteen billion, four hundred twenty-one million, twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 36444847 72889694 109334541 145779388 218669082 291558776 437338164 583117552 874676328 1166235104 1749352656 2223135667 3498705312 4446271334 6669407001 8892542668 13338814002 17785085336 26677628004 35570170672 53355256008 71140341344 106710512016 213421024032