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20131321123111 = 11172414314924107
BaseRepresentation
bin1001001001111001100000…
…01111101001000100100111
32122021112110101022202111011
410210330300033221010213
510114312421201414421
6110452111245323051
74145303622114052
oct444746017510447
978245411282434
1020131321123111
116461710a51550
122311702866487
13b304b5aaac03
144d850ad85a99
1524d9ddbad4e1
hex124f303e9127

20131321123111 has 96 divisors (see below), whose sum is σ = 24619205318400. Its totient is φ = 16302907084800.

The previous prime is 20131321123007. The next prime is 20131321123183. The reversal of 20131321123111 is 11132112313102.

It is not a de Polignac number, because 20131321123111 - 215 = 20131321090343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131321423111) 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, 835069920 + ... + 835094026.

It is an arithmetic number, because the mean of its divisors is an integer number (256450055400).

Almost surely, 220131321123111 is an apocalyptic number.

20131321123111 is a deficient number, since it is larger than the sum of its proper divisors (4487884195289).

20131321123111 is a wasteful number, since it uses less digits than its factorization.

20131321123111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24385 (or 24368 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 20131321123111 its reverse (11132112313102), we get a palindrome (31263433436213).

It can be divided in two parts, 20 and 131321123111, that added together give a palindrome (131321123131).

The spelling of 20131321123111 in words is "twenty trillion, one hundred thirty-one billion, three hundred twenty-one million, one hundred twenty-three thousand, one hundred eleven".

Divisors: 1 11 17 41 43 149 187 289 451 473 697 731 1639 1763 2533 3179 6109 6407 7667 8041 11849 12427 19393 24107 27863 29971 43061 67199 70477 103853 108919 130339 136697 262687 265177 329681 409819 473671 509507 988387 1036601 1142383 1198109 1765501 1851623 2889557 3591943 4465679 4508009 5604577 6966923 10872257 11402611 16802579 17622217 19420511 20367853 39511373 42500641 49122469 61063031 75916543 76636153 147269663 154453549 184828369 193844387 285643843 299577689 467507051 671693341 722510897 835081973 1038071527 1619966293 1698989039 2503584271 2625710333 3142082273 3295354579 6332595509 7947619867 11418786797 12282685249 27539426981 28882813663 42560932607 44637075661 69658550599 107654123653 135109537739 468170258677 491007832271 1184195360183 1830120102101 20131321123111