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113302123011 = 327112935315971
BaseRepresentation
bin110100110000101010…
…1010011001000000011
3101211110012221012120100
41221201111103020003
53324020320414021
6124014505413443
711120506104150
oct1514125231003
9354405835510
10113302123011
1144062104aa0
1219b6079a283
13a8b867364c
1456ab993227
152e31e69626
hex1a61553203

113302123011 has 96 divisors (see below), whose sum is σ = 211689054720. Its totient is φ = 56664115200.

The previous prime is 113302123007. The next prime is 113302123013. The reversal of 113302123011 is 110321203311.

113302123011 is a `hidden beast` number, since 11 + 330 + 21 + 2 + 301 + 1 = 666.

It is not a de Polignac number, because 113302123011 - 22 = 113302123007 is a prime.

It is a super-2 number, since 2×1133021230112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113302123013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7086256 + ... + 7102226.

It is an arithmetic number, because the mean of its divisors is an integer number (2205094320).

Almost surely, 2113302123011 is an apocalyptic number.

113302123011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113302123011 is a deficient number, since it is larger than the sum of its proper divisors (98386931709).

113302123011 is a wasteful number, since it uses less digits than its factorization.

113302123011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16377 (or 16374 counting only the distinct ones).

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

Adding to 113302123011 its reverse (110321203311), we get a palindrome (223623326322).

The spelling of 113302123011 in words is "one hundred thirteen billion, three hundred two million, one hundred twenty-three thousand, eleven".

Divisors: 1 3 7 9 11 21 29 33 63 77 87 99 203 231 261 319 353 609 693 957 1059 1827 2233 2471 2871 3177 3883 6699 7413 10237 11649 15971 20097 22239 27181 30711 34947 47913 71659 81543 92133 111797 112607 143739 175681 214977 244629 335391 337821 463159 527043 644931 788249 1006173 1013463 1229767 1389477 1581129 2364747 3242113 3689301 4168431 5094749 5637763 7094241 9726339 11067903 15284247 16913289 29179017 35663243 39464341 45852741 50739867 62015393 106989729 118393023 163495127 186046179 320969187 355179069 434107751 490485381 558138537 1144465889 1302323253 1471456143 1798446397 3433397667 3906969759 5395339191 10300193001 12589124779 16186017573 37767374337 113302123011