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13133130030 = 23251933123203
BaseRepresentation
bin11000011101100101…
…11010100100101110
31020220021022010112100
430032302322210232
5203344040130110
610011104315530
7643310522556
oct141662724456
936807263470
1013133130030
11562a344a79
122666312ba6
131313b45077
148c8302166
1551ce9cbc0
hex30ecba92e

13133130030 has 96 divisors (see below), whose sum is σ = 36053447040. Its totient is φ = 3307677120.

The previous prime is 13133130001. The next prime is 13133130061. The reversal of 13133130030 is 3003133131.

13133130030 is a `hidden beast` number, since 1 + 3 + 1 + 331 + 300 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13133129985 and 13133130012.

It is a congruent number.

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, 554409 + ... + 577611.

It is an arithmetic number, because the mean of its divisors is an integer number (375556740).

Almost surely, 213133130030 is an apocalyptic number.

13133130030 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 13133130030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18026723520).

13133130030 is an abundant number, since it is smaller than the sum of its proper divisors (22920317010).

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

13133130030 is a wasteful number, since it uses less digits than its factorization.

13133130030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23566 (or 23563 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 13133130030 its reverse (3003133131), we get a palindrome (16136263161).

The spelling of 13133130030 in words is "thirteen billion, one hundred thirty-three million, one hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 331 342 570 662 855 993 1655 1710 1986 2979 3310 4965 5958 6289 9930 12578 14895 18867 23203 29790 31445 37734 46406 56601 62890 69609 94335 113202 116015 139218 188670 208827 232030 283005 348045 417654 440857 566010 696090 881714 1044135 1322571 2088270 2204285 2645142 3967713 4408570 6612855 7680193 7935426 13225710 15360386 19838565 23040579 38400965 39677130 46081158 69121737 76801930 115202895 138243474 145923667 230405790 291847334 345608685 437771001 691217370 729618335 875542002 1313313003 1459236670 2188855005 2626626006 4377710010 6566565015 13133130030