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21213320232 = 23313397171263
BaseRepresentation
bin10011110000011010…
…011001010000101000
32000202101121022201010
4103300122121100220
5321421102221412
613424551023520
71350454150446
oct236032312050
960671538633
1021213320232
118aa6403515
12414036aba0
132000b83cc0
1410534c1b96
1584253833c
hex4f0699428

21213320232 has 64 divisors (see below), whose sum is σ = 57256980480. Its totient is φ = 6510696192.

The previous prime is 21213320221. The next prime is 21213320237. The reversal of 21213320232 is 23202331212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21213320199 and 21213320208.

It is not an unprimeable number, because it can be changed into a prime (21213320237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38233 + ... + 209495.

It is an arithmetic number, because the mean of its divisors is an integer number (894640320).

Almost surely, 221213320232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21213320232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28628490240).

21213320232 is an abundant number, since it is smaller than the sum of its proper divisors (36043660248).

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

21213320232 is a wasteful number, since it uses less digits than its factorization.

21213320232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171682 (or 171678 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 21213320232 its reverse (23202331212), we get a palindrome (44415651444).

The spelling of 21213320232 in words is "twenty-one billion, two hundred thirteen million, three hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 397 794 1191 1588 2382 3176 4764 5161 9528 10322 15483 20644 30966 41288 61932 123864 171263 342526 513789 685052 1027578 1370104 2055156 2226419 4110312 4452838 6679257 8905676 13358514 17811352 26717028 53434056 67991411 135982822 203974233 271965644 407948466 543931288 815896932 883888343 1631793864 1767776686 2651665029 3535553372 5303330058 7071106744 10606660116 21213320232