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12311223011130 = 23517953214111831
BaseRepresentation
bin1011001100100110111000…
…0100110000011100111010
31121120221102022002011112110
42303021232010300130322
53103201341042324010
642103410415153150
72410312403655051
oct263115604603472
947527368064473
1012311223011130
113a1718448950a
121469bb78157b6
136b3c356c8c84
14307c1b483398
1516539aa21120
hexb326e13073a

12311223011130 has 128 divisors (see below), whose sum is σ = 31335094135296. Its totient is φ = 3084930867200.

The previous prime is 12311223011117. The next prime is 12311223011159. The reversal of 12311223011130 is 3111032211321.

It is a junction number, because it is equal to n+sod(n) for n = 12311223011097 and 12311223011106.

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, 1040584315 + ... + 1040596145.

It is an arithmetic number, because the mean of its divisors is an integer number (244805422932).

Almost surely, 212311223011130 is an apocalyptic number.

12311223011130 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 12311223011130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15667547067648).

12311223011130 is an abundant number, since it is smaller than the sum of its proper divisors (19023871124166).

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

12311223011130 is a wasteful number, since it uses less digits than its factorization.

12311223011130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14952.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12311223011130 its reverse (3111032211321), we get a palindrome (15422255222451).

The spelling of 12311223011130 in words is "twelve trillion, three hundred eleven billion, two hundred twenty-three million, eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 953 1906 2141 2859 4282 4765 5718 6423 9530 10705 11831 12846 14295 16201 21410 23662 28590 32115 32402 35493 36397 48603 59155 64230 70986 72794 81005 97206 109191 118310 162010 177465 181985 201127 218382 243015 354930 363970 402254 486030 545955 603381 1005635 1091910 1206762 2011270 2040373 3016905 4080746 6033810 6121119 10201865 11274943 12242238 20403730 22549886 25330171 30605595 33824829 34686341 50660342 56374715 61211190 67649658 69372682 75990513 104059023 112749430 126650855 151981026 169124145 173431705 191674031 208118046 253301710 338248290 346863410 379952565 383348062 430612907 520295115 575022093 759905130 861225814 958370155 1040590230 1150044186 1291838721 1916740310 2153064535 2583677442 2875110465 4306129070 5750220930 6459193605 12918387210 24139652963 48279305926 72418958889 120698264815 144837917778 241396529630 362094794445 410374100371 724189588890 820748200742 1231122301113 2051870501855 2462244602226 4103741003710 6155611505565 12311223011130