Search a number
-
+
12110100223130 = 2571321132990359
BaseRepresentation
bin1011000000111001101000…
…1110001101010010011010
31120212201021201001221110022
42300032122032031102122
53041402441124120010
641431145255550442
72356632400324460
oct260163216152232
946781251057408
1012110100223130
113949956959048
12143702808b422
1369ac928aaa00
142dc1bc210830
15160028c13d55
hexb039a38d49a

12110100223130 has 96 divisors (see below), whose sum is σ = 26978618937600. Its totient is φ = 3832266387456.

The previous prime is 12110100223103. The next prime is 12110100223159. The reversal of 12110100223130 is 3132200101121.

It is a super-3 number, since 3×121101002231303 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12110100223099 and 12110100223108.

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, 133976891 + ... + 134067249.

It is an arithmetic number, because the mean of its divisors is an integer number (281027280600).

Almost surely, 212110100223130 is an apocalyptic number.

12110100223130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12110100223130 is an abundant number, since it is smaller than the sum of its proper divisors (14868518714470).

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

12110100223130 is a wasteful number, since it uses less digits than its factorization.

12110100223130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101728 (or 101715 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12110100223130 its reverse (3132200101121), we get a palindrome (15242300324251).

The spelling of 12110100223130 in words is "twelve trillion, one hundred ten billion, one hundred million, two hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 169 182 338 455 845 910 1183 1690 2366 5915 11329 11830 22658 56645 79303 90359 113290 147277 158606 180718 294554 396515 451795 632513 736385 793030 903590 1030939 1174667 1265026 1472770 1914601 2061878 2349334 3162565 3829202 5154695 5873335 6325130 8222669 9573005 10309390 11746670 13402207 15270671 16445338 19146010 26804414 30541342 41113345 67011035 76353355 82226690 106894697 134022070 152706710 213789394 534473485 1023677111 1068946970 2047354222 5118385555 7165739777 10236771110 13307802443 14331479554 26615604886 35828698885 66539012215 71657397770 93154617101 133078024430 173001431759 186309234202 346002863518 465773085505 865007158795 931546171010 1211010022313 1730014317590 2422020044626 6055050111565 12110100223130