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21320444430 = 23351710743411
BaseRepresentation
bin10011110110110011…
…000010101000001110
32001000212011210111000
4103312303002220032
5322131013210210
613443335041130
71353224534055
oct236663025016
961025153430
1021320444430
11905092050a
1241702101a6
13201a1203bc
14106380939c
1584bb48ac0
hex4f6cc2a0e

21320444430 has 128 divisors (see below), whose sum is σ = 60762908160. Its totient is φ = 5300881920.

The previous prime is 21320444423. The next prime is 21320444443. The reversal of 21320444430 is 3444402312.

It is a happy number.

21320444430 is a `hidden beast` number, since 2 + 13 + 204 + 4 + 443 + 0 = 666.

It is a super-2 number, since 2×213204444302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21320444394 and 21320444403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 469425 + ... + 512835.

It is an arithmetic number, because the mean of its divisors is an integer number (474710220).

Almost surely, 221320444430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21320444430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30381454080).

21320444430 is an abundant number, since it is smaller than the sum of its proper divisors (39442463730).

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

21320444430 is a wasteful number, since it uses less digits than its factorization.

21320444430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43551 (or 43545 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 21320444430 its reverse (3444402312), we get a palindrome (24764846742).

The spelling of 21320444430 in words is "twenty-one billion, three hundred twenty million, four hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 107 135 153 170 214 255 270 306 321 459 510 535 642 765 918 963 1070 1530 1605 1819 1926 2295 2889 3210 3638 4590 4815 5457 5778 9095 9630 10914 14445 16371 18190 27285 28890 32742 43411 49113 54570 81855 86822 98226 130233 163710 217055 245565 260466 390699 434110 491130 651165 737987 781398 1172097 1302330 1475974 1953495 2213961 2344194 3689935 3906990 4427922 4644977 5860485 6641883 7379870 9289954 11069805 11720970 13283766 13934931 19925649 22139610 23224885 27869862 33209415 39851298 41804793 46449770 66418830 69674655 78964609 83609586 99628245 125414379 139349310 157929218 199256490 209023965 236893827 250828758 394823045 418047930 473787654 627071895 710681481 789646090 1184469135 1254143790 1421362962 2132044443 2368938270 3553407405 4264088886 7106814810 10660222215 21320444430