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2023233230312 = 237224137335737
BaseRepresentation
bin11101011100010010000…
…110010001010111101000
321011102022121021020101122
4131130102012101113220
5231122040201332222
64145243245434412
7266113414463300
oct35342206212750
97142277236348
102023233230312
1171005945a678
1228814886ba08
13118a36a43c28
146dcd4330600
1537967a0ca42
hex1d7121915e8

2023233230312 has 96 divisors (see below), whose sum is σ = 4433189931720. Its totient is φ = 863120240640.

The previous prime is 2023233230309. The next prime is 2023233230357. The reversal of 2023233230312 is 2130323323202.

It can be written as a sum of positive squares in 4 ways, for example, as 1411405776676 + 611827453636 = 1188026^2 + 782194^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352661108 + ... + 352666844.

Almost surely, 22023233230312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023233230312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216594965860).

2023233230312 is an abundant number, since it is smaller than the sum of its proper divisors (2409956701408).

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

2023233230312 is a wasteful number, since it uses less digits than its factorization.

2023233230312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9731 (or 9720 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 2023233230312 its reverse (2130323323202), we get a palindrome (4153556553514).

The spelling of 2023233230312 in words is "two trillion, twenty-three billion, two hundred thirty-three million, two hundred thirty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 241 392 482 964 1687 1928 3374 3733 5737 6748 7466 11474 11809 13496 14932 22948 23618 26131 29864 40159 45896 47236 52262 80318 94472 104524 160636 182917 209048 281113 321272 365834 562226 731668 899653 1124452 1382617 1463336 1799306 2248904 2765234 3598612 5530468 6297571 7197224 9678319 11060936 12595142 19356638 21416221 25190284 38713276 42832442 44082997 50380568 67748233 77426552 85664884 88165994 135496466 149913547 171329768 176331988 270992932 299827094 352663976 541985864 599654188 1049394829 1199308376 2098789658 4197579316 5161309261 8395158632 10322618522 20645237044 36129164827 41290474088 72258329654 144516659308 252904153789 289033318616 505808307578 1011616615156 2023233230312