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112302012444 = 223174328334519
BaseRepresentation
bin110100010010110111…
…0001011100000011100
3101201212112001022210020
41220211232023200130
53314443303344234
6123331341512140
711053643232666
oct1504556134034
9351775038706
10112302012444
1143699616136
1219921872650
13a7893c804b
145614c17536
152dc4265549
hex1a25b8b81c

112302012444 has 96 divisors (see below), whose sum is σ = 284067463680. Its totient is φ = 34392895488.

The previous prime is 112302012409. The next prime is 112302012457. The reversal of 112302012444 is 444210203211.

112302012444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1123020124442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24848817 + ... + 24853335.

It is an arithmetic number, because the mean of its divisors is an integer number (2959036080).

Almost surely, 2112302012444 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 112302012444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142033731840).

112302012444 is an abundant number, since it is smaller than the sum of its proper divisors (171765451236).

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

112302012444 is a wasteful number, since it uses less digits than its factorization.

112302012444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7419 (or 7417 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 112302012444 its reverse (444210203211), we get a palindrome (556512215655).

The spelling of 112302012444 in words is "one hundred twelve billion, three hundred two million, twelve thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 43 51 68 86 102 129 172 204 258 516 731 1462 2193 2833 2924 4386 4519 5666 8499 8772 9038 11332 13557 16998 18076 27114 33996 48161 54228 76823 96322 121819 144483 153646 192644 194317 230469 243638 288966 307292 365457 388634 460938 487276 577932 582951 730914 777268 921876 1165902 1461828 2070923 2331804 3303389 4141846 6212769 6606778 8283692 9910167 12425538 12802327 13213556 19820334 24851076 25604654 38406981 39640668 51209308 76813962 153627924 217639559 435279118 550500061 652918677 870558236 1101000122 1305837354 1651500183 2202000244 2611674708 3303000366 6606000732 9358501037 18717002074 28075503111 37434004148 56151006222 112302012444