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113323013130 = 235414312716871
BaseRepresentation
bin110100110001010010…
…0111111010000001010
3101211111200020112102110
41221202210333100022
53324041142410010
6124020533243150
711121151501245
oct1514244772012
9354450215373
10113323013130
1144072983058
1219b677934b6
13a8bcaa8c72
1456b067025c
152e33be4120
hex1a6293f40a

113323013130 has 128 divisors (see below), whose sum is σ = 287349866496. Its totient is φ = 28568332800.

The previous prime is 113323013129. The next prime is 113323013191. The reversal of 113323013130 is 31310323311.

It is a junction number, because it is equal to n+sod(n) for n = 113323013097 and 113323013106.

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, 6708595 + ... + 6725465.

It is an arithmetic number, because the mean of its divisors is an integer number (2244920832).

Almost surely, 2113323013130 is an apocalyptic number.

113323013130 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 113323013130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143674933248).

113323013130 is an abundant number, since it is smaller than the sum of its proper divisors (174026853366).

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

113323013130 is a wasteful number, since it uses less digits than its factorization.

113323013130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17092.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 113323013130 its reverse (31310323311), we get a palindrome (144633336441).

The spelling of 113323013130 in words is "one hundred thirteen billion, three hundred twenty-three million, thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 43 82 86 123 127 129 205 215 246 254 258 381 410 430 615 635 645 762 1230 1270 1290 1763 1905 3526 3810 5207 5289 5461 8815 10414 10578 10922 15621 16383 16871 17630 26035 26445 27305 31242 32766 33742 50613 52070 52890 54610 78105 81915 84355 101226 156210 163830 168710 223901 253065 447802 506130 671703 691711 725453 1119505 1343406 1383422 1450906 2075133 2142617 2176359 2239010 3358515 3458555 3627265 4150266 4285234 4352718 6427851 6717030 6917110 7254530 10375665 10713085 10881795 12855702 20751330 21426170 21763590 29743573 32139255 59487146 64278510 87847297 89230719 92132531 148717865 175694594 178461438 184265062 263541891 276397593 297435730 439236485 446153595 460662655 527083782 552795186 878472970 892307190 921325310 1317709455 1381987965 2635418910 2763975930 3777433771 7554867542 11332301313 18887168855 22664602626 37774337710 56661506565 113323013130