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130013113110 = 235436111811399
BaseRepresentation
bin111100100010101100…
…0101010101100010110
3110102120211121110102120
41321011120222230112
54112231324104420
6135421024120410
712251563140666
oct1710530525426
9412524543376
10130013113110
1150158016211
1221245166106
13c34c81637a
1464151201a6
1535ae0a3d40
hex1e4562ab16

130013113110 has 128 divisors (see below), whose sum is σ = 325029196800. Its totient is φ = 33256742400.

The previous prime is 130013113079. The next prime is 130013113123. The reversal of 130013113110 is 11311310031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130013113110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92932191 + ... + 92933589.

It is an arithmetic number, because the mean of its divisors is an integer number (2539290600).

Almost surely, 2130013113110 is an apocalyptic number.

130013113110 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 130013113110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162514598400).

130013113110 is an abundant number, since it is smaller than the sum of its proper divisors (195016083690).

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

130013113110 is a wasteful number, since it uses less digits than its factorization.

130013113110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 130013113110 its reverse (11311310031), we get a palindrome (141324423141).

The spelling of 130013113110 in words is "one hundred thirty billion, thirteen million, one hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 61 86 122 129 183 215 258 305 366 430 610 645 915 1181 1290 1399 1830 2362 2623 2798 3543 4197 5246 5905 6995 7086 7869 8394 11810 13115 13990 15738 17715 20985 26230 35430 39345 41970 50783 60157 72041 78690 85339 101566 120314 144082 152349 170678 180471 216123 253915 256017 300785 304698 360205 360942 426695 432246 507830 512034 601570 720410 761745 853390 902355 1080615 1280085 1523490 1652219 1804710 2161230 2560170 3097763 3304438 3669577 4956657 6195526 7339154 8261095 9293289 9913314 11008731 15488815 16522190 18347885 18586578 22017462 24783285 30977630 36695770 46466445 49566570 55043655 71045417 92932890 100785359 110087310 142090834 201570718 213136251 302356077 355227085 426272502 503926795 604712154 710454170 1007853590 1065681255 1511780385 2131362510 3023560770 4333770437 8667540874 13001311311 21668852185 26002622622 43337704370 65006556555 130013113110