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21930020320 = 2551317958901
BaseRepresentation
bin10100011011001000…
…011000110111100000
32002121100012110101211
4110123020120313200
5324403041122240
614024032235504
71404306045205
oct243310306740
962540173354
1021930020320
119333a1993a
12430039bb94
1320b64bc7b0
1410c0765cac
15885408bea
hex51b218de0

21930020320 has 96 divisors (see below), whose sum is σ = 56107689120. Its totient is φ = 8051865600.

The previous prime is 21930020311. The next prime is 21930020369. The reversal of 21930020320 is 2302003912.

It is a super-2 number, since 2×219300203202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21930020291 and 21930020300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342870 + ... + 401770.

It is an arithmetic number, because the mean of its divisors is an integer number (584455095).

Almost surely, 221930020320 is an apocalyptic number.

21930020320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21930020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28053844560).

21930020320 is an abundant number, since it is smaller than the sum of its proper divisors (34177668800).

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

21930020320 is a wasteful number, since it uses less digits than its factorization.

21930020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59108 (or 59100 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The spelling of 21930020320 in words is "twenty-one billion, nine hundred thirty million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 179 208 260 358 416 520 716 895 1040 1432 1790 2080 2327 2864 3580 4654 5728 7160 9308 11635 14320 18616 23270 28640 37232 46540 58901 74464 93080 117802 186160 235604 294505 372320 471208 589010 765713 942416 1178020 1531426 1884832 2356040 3062852 3828565 4712080 6125704 7657130 9424160 10543279 12251408 15314260 21086558 24502816 30628520 42173116 52716395 61257040 84346232 105432790 122514080 137062627 168692464 210865580 274125254 337384928 421731160 548250508 685313135 843462320 1096501016 1370626270 1686924640 2193002032 2741252540 4386004064 5482505080 10965010160 21930020320