Search a number
-
+
123313110001130 = 25719241893116483
BaseRepresentation
bin11100000010011100010010…
…000111100010010111101010
3121011121121200122202101210002
4130002130102013202113222
5112130330222130014010
61114133132150223002
734655035551426350
oct3402342207422752
9534547618671702
10123313110001130
1136322883914065
12119b6aa7054a62
1353a64b7b92b9a
14226455a2a97d0
15e3c9cc4881a5
hex7027121e25ea

123313110001130 has 96 divisors (see below), whose sum is σ = 267735260905344. Its totient is φ = 40052281652352.

The previous prime is 123313110001129. The next prime is 123313110001163. The reversal of 123313110001130 is 31100011313321.

It is a super-2 number, since 2×1233131100011302 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1058577869 + ... + 1058694351.

It is an arithmetic number, because the mean of its divisors is an integer number (2788908967764).

Almost surely, 2123313110001130 is an apocalyptic number.

123313110001130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123313110001130 is an abundant number, since it is smaller than the sum of its proper divisors (144422150904214).

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

123313110001130 is a wasteful number, since it uses less digits than its factorization.

123313110001130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158428 (or 158409 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 123313110001130 its reverse (31100011313321), we get a palindrome (154413121314451).

The spelling of 123313110001130 in words is "one hundred twenty-three trillion, three hundred thirteen billion, one hundred ten million, one thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 266 361 665 722 1330 1805 2527 3610 5054 12635 25270 41893 83786 116483 209465 232966 293251 418930 582415 586502 795967 815381 1164830 1466255 1591934 1630762 2213177 2932510 3979835 4076905 4426354 5571769 7959670 8153810 11065885 11143538 15123373 15492239 22131770 27858845 30246746 30984478 42050363 55717690 75616865 77461195 84100726 105863611 151233730 154922390 210251815 211727222 294352541 420503630 529318055 588705082 1058636110 1471762705 2943525410 4879822319 9759644638 24399111595 34158756233 48798223190 68317512466 92716624061 170793781165 185433248122 341587562330 463583120305 649016368427 927166240610 1298032736854 1761615857159 3245081842135 3523231714318 6490163684270 8808079285795 12331311000113 17616158571590 24662622000226 61656555000565 123313110001130