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20312321310 = 23251719767391
BaseRepresentation
bin10010111010101101…
…010110110100011110
31221102121012211112200
4102322231112310132
5313044423240220
613155323312330
71316233611441
oct227255266436
957377184480
1020312321310
118683859706
123b2a67b6a6
131bb92caa48
14da9985658
157dd3b0890
hex4bab56d1e

20312321310 has 96 divisors (see below), whose sum is σ = 56203310592. Its totient is φ = 5072040960.

The previous prime is 20312321287. The next prime is 20312321371. The reversal of 20312321310 is 1312321302.

20312321310 is a `hidden beast` number, since 2 + 0 + 31 + 2 + 321 + 310 = 666.

It is a super-2 number, since 2×203123213102 (a number of 21 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267715 + ... + 335105.

It is an arithmetic number, because the mean of its divisors is an integer number (585451152).

Almost surely, 220312321310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20312321310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28101655296).

20312321310 is an abundant number, since it is smaller than the sum of its proper divisors (35890989282).

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

20312321310 is a wasteful number, since it uses less digits than its factorization.

20312321310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67618 (or 67615 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20312321310 its reverse (1312321302), we get a palindrome (21624642612).

The spelling of 20312321310 in words is "twenty billion, three hundred twelve million, three hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 197 255 306 394 510 591 765 985 1182 1530 1773 1970 2955 3349 3546 5910 6698 8865 10047 16745 17730 20094 30141 33490 50235 60282 67391 100470 134782 150705 202173 301410 336955 404346 606519 673910 1010865 1145647 1213038 2021730 2291294 3032595 3436941 5728235 6065190 6873882 10310823 11456470 13276027 17184705 20621646 26552054 34369410 39828081 51554115 66380135 79656162 103108230 119484243 132760270 199140405 225692459 238968486 398280810 451384918 597421215 677077377 1128462295 1194842430 1354154754 2031232131 2256924590 3385386885 4062464262 6770773770 10156160655 20312321310