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113302121310 = 232572107240113
BaseRepresentation
bin110100110000101010…
…1010010101101011110
3101211110012221010020100
41221201111102231132
53324020320340220
6124014505401530
711120506066200
oct1514125225536
9354405833210
10113302121310
1144062103794
1219b607992a6
13a8b8672941
1456ab992770
152e31e68d90
hex1a61552b5e

113302121310 has 144 divisors (see below), whose sum is σ = 345885177456. Its totient is φ = 25655486976.

The previous prime is 113302121299. The next prime is 113302121311. The reversal of 113302121310 is 13121203311.

113302121310 is a `hidden beast` number, since 1 + 1 + 330 + 2 + 1 + 21 + 310 = 666.

It is a super-2 number, since 2×1133021213102 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113302121311) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 351814 + ... + 591926.

It is an arithmetic number, because the mean of its divisors is an integer number (2401980399).

Almost surely, 2113302121310 is an apocalyptic number.

113302121310 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 113302121310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172942588728).

113302121310 is an abundant number, since it is smaller than the sum of its proper divisors (232583056146).

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

113302121310 is a wasteful number, since it uses less digits than its factorization.

113302121310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240247 (or 240237 counting only the distinct ones).

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

Adding to 113302121310 its reverse (13121203311), we get a palindrome (126423324621).

The spelling of 113302121310 in words is "one hundred thirteen billion, three hundred two million, one hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 107 126 147 210 214 245 294 315 321 441 490 535 630 642 735 749 882 963 1070 1470 1498 1605 1926 2205 2247 3210 3745 4410 4494 4815 5243 6741 7490 9630 10486 11235 13482 15729 22470 26215 31458 33705 47187 52430 67410 78645 94374 157290 235935 240113 471870 480226 720339 1200565 1440678 1680791 2161017 2401130 3361582 3601695 4322034 5042373 7203390 8403955 10084746 10805085 11765537 15127119 16807910 21610170 23531074 25211865 25692091 30254238 35296611 50423730 51384182 58827685 70593222 75635595 77076273 105889833 117655370 128460455 151271190 154152546 176483055 179844637 211779666 231228819 256920910 352966110 359689274 385381365 462457638 529449165 539533911 770762730 899223185 1058898330 1079067822 1156144095 1258912459 1618601733 1798446370 2312288190 2517824918 2697669555 3237203466 3776737377 5395339110 6294562295 7553474754 8093008665 11330212131 12589124590 16186017330 18883686885 22660424262 37767373770 56651060655 113302121310