Search a number
-
+
13130212414230 = 234537438111859
BaseRepresentation
bin1011111100010001110110…
…1001011001001100010110
31201111020101002010112110000
42333010131221121030112
53210111133334223410
643531534124312130
72523424622016252
oct277043551311426
951436332115400
1013130212414230
11420254567087a
1215808816a2646
13743234872932
143357117c5262
1517b830ea7dc0
hexbf11da59316

13130212414230 has 80 divisors (see below), whose sum is σ = 36259889981040. Its totient is φ = 3406757807808.

The previous prime is 13130212414219. The next prime is 13130212414313. The reversal of 13130212414230 is 3241421203131.

13130212414230 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 2 + 12 + 414 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13130212414194 and 13130212414203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 219025960 + ... + 219085899.

It is an arithmetic number, because the mean of its divisors is an integer number (453248624763).

Almost surely, 213130212414230 is an apocalyptic number.

13130212414230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13130212414230 is an abundant number, since it is smaller than the sum of its proper divisors (23129677566810).

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

13130212414230 is a wasteful number, since it uses less digits than its factorization.

13130212414230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438111915 (or 438111906 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13130212414230 its reverse (3241421203131), we get a palindrome (16371633617361).

The spelling of 13130212414230 in words is "thirteen trillion, one hundred thirty billion, two hundred twelve million, four hundred fourteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 270 333 370 405 555 666 810 999 1110 1665 1998 2997 3330 4995 5994 9990 14985 29970 438111859 876223718 1314335577 2190559295 2628671154 3943006731 4381118590 6571677885 7886013462 11829020193 13143355770 16210138783 19715033655 23658040386 32420277566 35487060579 39430067310 48630416349 59145100965 70974121158 81050693915 97260832698 118290201930 145891249047 162101387830 177435302895 243152081745 291782498094 354870605790 437673747141 486304163490 729456245235 875347494282 1313021241423 1458912490470 2188368735705 2626042482846 4376737471410 6565106207115 13130212414230