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2023311312 = 24351147309
BaseRepresentation
bin111100010011001…
…0100011111010000
312020000012212100000
41320212110133100
513120431430222
6532434330000
7101065601541
oct17046243720
95200185300
102023311312
11949119810
12485729900
13263249a39
14152a064c8
15bc9699ac
hex789947d0

2023311312 has 120 divisors (see below), whose sum is σ = 6406152480. Its totient is φ = 613111680.

The previous prime is 2023311299. The next prime is 2023311331. The reversal of 2023311312 is 2131133202.

2023311312 is a `hidden beast` number, since 20 + 2 + 331 + 1 + 312 = 666.

It is a super-2 number, since 2×20233113122 = 8187577330534322688, which contains 22 as substring.

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

It is a congruent number.

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, 19114 + ... + 66422.

It is an arithmetic number, because the mean of its divisors is an integer number (53384604).

Almost surely, 22023311312 is an apocalyptic number.

2023311312 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 2023311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203076240).

2023311312 is an abundant number, since it is smaller than the sum of its proper divisors (4382841168).

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

2023311312 is a wasteful number, since it uses less digits than its factorization.

2023311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47343 (or 47325 counting only the distinct ones).

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

The square root of 2023311312 is about 44981.2328866162. The cubic root of 2023311312 is about 1264.7972224662.

Adding to 2023311312 its reverse (2131133202), we get a palindrome (4154444514).

It can be divided in two parts, 20 and 23311312, that added together give a palindrome (23311332).

The spelling of 2023311312 in words is "two billion, twenty-three million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 792 891 972 1188 1296 1584 1782 1944 2376 2673 3564 3888 4752 5346 7128 10692 14256 21384 42768 47309 94618 141927 189236 283854 378472 425781 520399 567708 756944 851562 1040798 1135416 1277343 1561197 1703124 2081596 2270832 2554686 3122394 3406248 3832029 4163192 4683591 5109372 6244788 6812496 7664058 8326384 9367182 10218744 11496087 12489576 14050773 15328116 18734364 20437488 22992174 24979152 28101546 30656232 37468728 42152319 45984348 56203092 61312464 74937456 84304638 91968696 112406184 126456957 168609276 183937392 224812368 252913914 337218552 505827828 674437104 1011655656 2023311312