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110830700032 = 291331217327
BaseRepresentation
bin110011100111000000…
…1100100011000000000
3101121001222111220120221
41213032001210120000
53303440124400112
6122525342312424
711002326256303
oct1471601443000
9347058456527
10110830700032
114300404a368
1219590b88714
13a5b363b5a0
145515660b3a
152d39ed5e07
hex19ce064600

110830700032 has 120 divisors (see below), whose sum is σ = 246434414688. Its totient is φ = 49499688960.

The previous prime is 110830699957. The next prime is 110830700039. The reversal of 110830700032 is 230007038011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110830700039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6387753 + ... + 6405079.

Almost surely, 2110830700032 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 110830700032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123217207344).

110830700032 is an abundant number, since it is smaller than the sum of its proper divisors (135603714656).

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

110830700032 is an equidigital number, since it uses as much as digits as its factorization.

110830700032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17420 (or 17373 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 110830700032 its reverse (230007038011), we get a palindrome (340837738043).

The spelling of 110830700032 in words is "one hundred ten billion, eight hundred thirty million, seven hundred thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 512 806 832 961 992 1612 1664 1922 1984 3224 3328 3844 3968 6448 6656 7688 7936 12493 12896 15376 15872 17327 24986 25792 30752 34654 49972 51584 61504 69308 99944 103168 123008 138616 199888 206336 225251 246016 277232 399776 450502 492032 537137 554464 799552 901004 1074274 1108928 1599104 1802008 2148548 2217856 3198208 3604016 4297096 4435712 6396416 6982781 7208032 8594192 8871424 13965562 14416064 16651247 17188384 27931124 28832128 33302494 34376768 55862248 57664256 66604988 68753536 111724496 115328512 133209976 137507072 216466211 223448992 266419952 275014144 432932422 446897984 532839904 865864844 893795968 1065679808 1731729688 1787591936 2131359616 3463459376 3575183872 4262719232 6926918752 8525438464 13853837504 27707675008 55415350016 110830700032