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113013141030 = 23354917331163
BaseRepresentation
bin110100101000000011…
…0111010111000100110
3101210201002011101211000
41221100012322320212
53322422331003110
6123530103454130
711110366564116
oct1512006727046
9353632141730
10113013141030
1143a23a76609
1219a9ba57346
13a8708328aa
14568144b046
152e168d51c0
hex1a501bae26

113013141030 has 128 divisors (see below), whose sum is σ = 302654154240. Its totient is φ = 30008603520.

The previous prime is 113013141019. The next prime is 113013141049. The reversal of 113013141030 is 30141310311.

113013141030 is a `hidden beast` number, since 11 + 301 + 314 + 10 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113013140994 and 113013141012.

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 63 ways as a sum of consecutive naturals, for example, 97173229 + ... + 97174391.

It is an arithmetic number, because the mean of its divisors is an integer number (2364485580).

Almost surely, 2113013141030 is an apocalyptic number.

113013141030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113013141030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151327077120).

113013141030 is an abundant number, since it is smaller than the sum of its proper divisors (189641013210).

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

113013141030 is a wasteful number, since it uses less digits than its factorization.

113013141030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113013141030 its reverse (30141310311), we get a palindrome (143154451341).

The spelling of 113013141030 in words is "one hundred thirteen billion, thirteen million, one hundred forty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 491 733 982 1163 1466 1473 2199 2326 2455 2946 3489 3665 4398 4419 4910 5815 6597 6978 7330 7365 8838 10467 10995 11630 13194 13257 14730 17445 19791 20934 21990 22095 26514 31401 32985 34890 39582 44190 52335 62802 65970 66285 98955 104670 132570 157005 197910 314010 359903 571033 719806 852479 1079709 1142066 1704958 1713099 1799515 2159418 2557437 2855165 3239127 3426198 3599030 4262395 5114874 5139297 5398545 5710330 6478254 7672311 8524790 8565495 9717381 10278594 10797090 12787185 15344622 15417891 16195635 17130990 19434762 23016933 25574370 25696485 30835782 32391270 38361555 46033866 48586905 51392970 76723110 77089455 97173810 115084665 154178910 230169330 418567189 837134378 1255701567 2092835945 2511403134 3767104701 4185671890 6278507835 7534209402 11301314103 12557015670 18835523505 22602628206 37671047010 56506570515 113013141030