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20312230320 = 24325110325577
BaseRepresentation
bin10010111010101101…
…000000100110110000
31221102121001012201200
4102322231000212300
5313044412332240
613155321331200
71316233052244
oct227255004660
957377035650
1020312230320
1186837a7308
123b2a636b00
131bb92984c5
14da9960424
157dd393930
hex4bab409b0

20312230320 has 120 divisors (see below), whose sum is σ = 68279754816. Its totient is φ = 5411472384.

The previous prime is 20312230319. The next prime is 20312230331. The reversal of 20312230320 is 2303221302.

It is a happy number.

20312230320 is a `hidden beast` number, since 2 + 0 + 312 + 2 + 30 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20312230293 and 20312230302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 781372 + ... + 806948.

Almost surely, 220312230320 is an apocalyptic number.

20312230320 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 20312230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34139877408).

20312230320 is an abundant number, since it is smaller than the sum of its proper divisors (47967524496).

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

20312230320 is a wasteful number, since it uses less digits than its factorization.

20312230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26699 (or 26690 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20312230320 its reverse (2303221302), we get a palindrome (22615451622).

The spelling of 20312230320 in words is "twenty billion, three hundred twelve million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1103 2206 3309 4412 5515 6618 8824 9927 11030 13236 16545 17648 19854 22060 25577 26472 33090 39708 44120 49635 51154 52944 66180 76731 79416 88240 99270 102308 127885 132360 153462 158832 198540 204616 230193 255770 264720 306924 383655 397080 409232 460386 511540 613848 767310 794160 920772 1023080 1150965 1227696 1534620 1841544 2046160 2301930 3069240 3683088 4603860 6138480 9207720 18415440 28211431 56422862 84634293 112845724 141057155 169268586 225691448 253902879 282114310 338537172 423171465 451382896 507805758 564228620 677074344 846342930 1015611516 1128457240 1269514395 1354148688 1692685860 2031223032 2256914480 2539028790 3385371720 4062446064 5078057580 6770743440 10156115160 20312230320