Search a number
-
+
21001022010112 = 28534861318419
BaseRepresentation
bin1001100011001101011100…
…11101001111001100000000
32202100200022022222102110011
410301212232131033030000
510223040043113310422
6112355423013514304
74265162621512144
oct461465635171400
982320268872404
1021001022010112
11676753547a291
12243217b942994
13b94507224a91
14528652301224
152664411ca077
hex1319ae74f300

21001022010112 has 72 divisors (see below), whose sum is σ = 42719872955760. Its totient is φ = 10300236410880.

The previous prime is 21001022010083. The next prime is 21001022010121. The reversal of 21001022010112 is 21101022010012.

It is a junction number, because it is equal to n+sod(n) for n = 21001022010092 and 21001022010101.

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, 65794839 + ... + 66113257.

It is an arithmetic number, because the mean of its divisors is an integer number (593331568830).

Almost surely, 221001022010112 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 21001022010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21359936477880).

21001022010112 is an abundant number, since it is smaller than the sum of its proper divisors (21718850945648).

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

21001022010112 is an equidigital number, since it uses as much as digits as its factorization.

21001022010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323349 (or 323335 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21001022010112 its reverse (21101022010012), we get a palindrome (42102044020124).

The spelling of 21001022010112 in words is "twenty-one trillion, one billion, twenty-two million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 848 1696 3392 4861 6784 9722 13568 19444 38888 77776 155552 257633 311104 318419 515266 622208 636838 1030532 1244416 1273676 2061064 2547352 4122128 5094704 8244256 10189408 16488512 16876207 20378816 32977024 33752414 40757632 65954048 67504828 81515264 135009656 270019312 540038624 1080077248 1547834759 2160154496 3095669518 4320308992 6191339036 12382678072 24765356144 49530712288 82035242227 99061424576 164070484454 198122849152 328140968908 396245698304 656281937816 1312563875632 2625127751264 5250255502528 10500511005056 21001022010112