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21320310016 = 28293192639
BaseRepresentation
bin10011110110110010…
…100001110100000000
32001000211220222002201
4103312302201310000
5322130444410031
613443332122544
71353223434145
oct236662416400
961024828081
1021320310016
119050839525
124170166454
13201a0a4175
1410637b23cc
1584bb1dd61
hex4f6ca1d00

21320310016 has 72 divisors (see below), whose sum is σ = 45445478400. Its totient is φ = 9960437760.

The previous prime is 21320309981. The next prime is 21320310017. The reversal of 21320310016 is 61001302312.

It is a junction number, because it is equal to n+sod(n) for n = 21320309975 and 21320310002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21320310017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183825 + ... + 276463.

It is an arithmetic number, because the mean of its divisors is an integer number (631187200).

Almost surely, 221320310016 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 21320310016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22722739200).

21320310016 is an abundant number, since it is smaller than the sum of its proper divisors (24125168384).

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

21320310016 is an equidigital number, since it uses as much as digits as its factorization.

21320310016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92715 (or 92701 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 21320310016 its reverse (61001302312), we get a palindrome (82321612328).

The spelling of 21320310016 in words is "twenty-one billion, three hundred twenty million, three hundred ten thousand, sixteen".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 128 232 248 256 464 496 899 928 992 1798 1856 1984 3596 3712 3968 7192 7424 7936 14384 28768 57536 92639 115072 185278 230144 370556 741112 1482224 2686531 2871809 2964448 5373062 5743618 5928896 10746124 11487236 11857792 21492248 22974472 23715584 42984496 45948944 83282461 85968992 91897888 166564922 171937984 183795776 333129844 343875968 367591552 666259688 687751936 735183104 1332519376 2665038752 5330077504 10660155008 21320310016