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2323312222112 = 257311249267877
BaseRepresentation
bin100001110011110000001…
…100110001111110100000
322020002212121211110111222
4201303300030301332200
5301031120412101422
64535152003554212
7326565562022510
oct41636014617640
98202777743458
102323312222112
118163471a9652
1231633468b968
1313b11a03c03b
148063db55840
154067c0c1842
hex21cf0331fa0

2323312222112 has 96 divisors (see below), whose sum is σ = 5400420480000. Its totient is φ = 962810634240.

The previous prime is 2323312222111. The next prime is 2323312222117. The reversal of 2323312222112 is 2112222133232.

It is not an unprimeable number, because it can be changed into a prime (2323312222111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8539118 + ... + 8806994.

It is an arithmetic number, because the mean of its divisors is an integer number (56254380000).

Almost surely, 22323312222112 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 2323312222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700210240000).

2323312222112 is an abundant number, since it is smaller than the sum of its proper divisors (3077108257888).

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

2323312222112 is a wasteful number, since it uses less digits than its factorization.

2323312222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269174 (or 269166 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

Adding to 2323312222112 its reverse (2112222133232), we get a palindrome (4435534355344).

The spelling of 2323312222112 in words is "two trillion, three hundred twenty-three billion, three hundred twelve million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1249 1736 2498 3472 4996 6944 8743 9992 17486 19984 34972 38719 39968 69944 77438 139888 154876 267877 271033 279776 309752 535754 542066 619504 1071508 1084132 1239008 1875139 2143016 2168264 3750278 4286032 4336528 7500556 8304187 8572064 8673056 15001112 16608374 30002224 33216748 58129309 60004448 66433496 116258618 132866992 232517236 265733984 334578373 465034472 669156746 930068944 1338313492 1860137888 2342048611 2676626984 4684097222 5353253968 9368194444 10371929563 10706507936 18736388888 20743859126 37472777776 41487718252 72603506941 74945555552 82975436504 145207013882 165950873008 290414027764 331901746016 580828055528 1161656111056 2323312222112