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20323131312 = 243111271991523
BaseRepresentation
bin10010111011010110…
…100101111110110000
31221110100120001002010
4102323112211332300
5313110210200222
613200351122520
71316424523461
oct227326457660
957410501063
1020323131312
1186899723a0
123b32213440
131bbb6141b3
14dab19ad68
157de2e880c
hex4bb5a5fb0

20323131312 has 160 divisors (see below), whose sum is σ = 58053427200. Its totient is φ = 6075336960.

The previous prime is 20323131277. The next prime is 20323131319. The reversal of 20323131312 is 21313132302.

It is not an unprimeable number, because it can be changed into a prime (20323131319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13343383 + ... + 13344905.

It is an arithmetic number, because the mean of its divisors is an integer number (362833920).

Almost surely, 220323131312 is an apocalyptic number.

20323131312 is a gapful number since it is divisible by the number (22) 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 20323131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29026713600).

20323131312 is an abundant number, since it is smaller than the sum of its proper divisors (37730295888).

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

20323131312 is a wasteful number, since it uses less digits than its factorization.

20323131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 20323131312 its reverse (21313132302), we get a palindrome (41636263614).

The spelling of 20323131312 in words is "twenty billion, three hundred twenty-three million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 127 132 176 199 254 264 381 398 508 528 597 762 796 1016 1194 1397 1523 1524 1592 2032 2189 2388 2794 3046 3048 3184 4191 4378 4569 4776 5588 6092 6096 6567 8382 8756 9138 9552 11176 12184 13134 16753 16764 17512 18276 22352 24368 25273 26268 33506 33528 35024 36552 50259 50546 52536 67012 67056 73104 75819 100518 101092 105072 134024 151638 193421 201036 202184 268048 278003 303077 303276 386842 402072 404368 556006 580263 606154 606552 773684 804144 834009 909231 1112012 1160526 1212308 1213104 1547368 1668018 1818462 2127631 2224024 2321052 2424616 3094736 3333847 3336036 3636924 4255262 4448048 4642104 4849232 6382893 6667694 6672072 7273848 8510524 9284208 10001541 12765786 13335388 13344144 14547696 17021048 20003082 25531572 26670776 34042096 38490779 40006164 51063144 53341552 76981558 80012328 102126288 115472337 153963116 160024656 230944674 307926232 423398569 461889348 615852464 846797138 923778696 1270195707 1693594276 1847557392 2540391414 3387188552 5080782828 6774377104 10161565656 20323131312