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1123300320144 = 243374115426559
BaseRepresentation
bin10000010110001001111…
…010101010001110010000
310222101102201201200002220
4100112021322222032100
5121401004340221034
62220012000141040
7144104300116032
oct20261172521620
93871381650086
101123300320144
113a3430823422
12161853007780
1381c08147b62
143c521c0dc52
151e346334749
hex10589eaa390

1123300320144 has 80 divisors (see below), whose sum is σ = 3052977930240. Its totient is φ = 355427896320.

The previous prime is 1123300320097. The next prime is 1123300320193. The reversal of 1123300320144 is 4410230033211.

It is a happy number.

It is a super-2 number, since 2×11233003201442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 7640464 + ... + 7786095.

It is an arithmetic number, because the mean of its divisors is an integer number (38162224128).

Almost surely, 21123300320144 is an apocalyptic number.

It is an amenable number.

1123300320144 is an abundant number, since it is smaller than the sum of its proper divisors (1929677610096).

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

1123300320144 is a wasteful number, since it uses less digits than its factorization.

1123300320144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15426648 (or 15426642 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1123300320144 its reverse (4410230033211), we get a palindrome (5533530353355).

The spelling of 1123300320144 in words is "one trillion, one hundred twenty-three billion, three hundred million, three hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 41 48 74 82 111 123 148 164 222 246 296 328 444 492 592 656 888 984 1517 1776 1968 3034 4551 6068 9102 12136 18204 24272 36408 72816 15426559 30853118 46279677 61706236 92559354 123412472 185118708 246824944 370237416 570782683 632488919 740474832 1141565366 1264977838 1712348049 1897466757 2283130732 2529955676 3424696098 3794933514 4566261464 5059911352 6849392196 7589867028 9132522928 10119822704 13698784392 15179734056 23402090003 27397568784 30359468112 46804180006 70206270009 93608360012 140412540018 187216720024 280825080036 374433440048 561650160072 1123300320144