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110130311032 = 2373433832437
BaseRepresentation
bin110011010010001000…
…1110010111101111000
3101112021011121110111121
41212210101302331320
53301021324423112
6122332042435024
710646063125000
oct1464421627570
9345234543447
10110130311032
1142784764785
1219416502a74
13a5014c4121
14548a625000
152ce8788407
hex19a4472f78

110130311032 has 128 divisors (see below), whose sum is σ = 247154688000. Its totient is φ = 45961824384.

The previous prime is 110130311009. The next prime is 110130311197. The reversal of 110130311032 is 230113031011.

It is a junction number, because it is equal to n+sod(n) for n = 110130310997 and 110130311015.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 45189718 + ... + 45192154.

It is an arithmetic number, because the mean of its divisors is an integer number (1930896000).

Almost surely, 2110130311032 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 110130311032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123577344000).

110130311032 is an abundant number, since it is smaller than the sum of its proper divisors (137024376968).

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

110130311032 is a wasteful number, since it uses less digits than its factorization.

110130311032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 110130311032 its reverse (230113031011), we get a palindrome (340243342043).

The spelling of 110130311032 in words is "one hundred ten billion, one hundred thirty million, three hundred eleven thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 43 49 56 86 98 172 196 301 343 344 383 392 602 686 766 1204 1372 1532 2107 2408 2437 2681 2744 3064 4214 4874 5362 8428 9748 10724 14749 16469 16856 17059 18767 19496 21448 29498 32938 34118 37534 58996 65876 68236 75068 104791 115283 117992 119413 131369 131752 136472 150136 209582 230566 238826 262738 419164 461132 477652 525476 733537 806981 835891 838328 922264 933371 955304 1050952 1467074 1613962 1671782 1866742 2934148 3227924 3343564 3733484 5134759 5648867 5868296 6455848 6533597 6687128 7466968 10269518 11297734 13067194 20539036 22595468 26134388 35943313 40134953 41078072 45190936 45735179 52268776 71886626 80269906 91470358 143773252 160539812 182940716 280944671 287546504 320146253 321079624 365881432 561889342 640292506 1123778684 1280585012 1966612697 2247557368 2561170024 3933225394 7866450788 13766288879 15732901576 27532577758 55065155516 110130311032