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13225245030 = 2345173672617
BaseRepresentation
bin11000101000100100…
…10011100101100110
31021010200122001120000
430110102103211212
5204041130320110
610024154522130
7645506504454
oct142422234546
937120561500
1013225245030
115677340378
122691136346
131329c5789a
148d663d9d4
155260e61c0
hex314493966

13225245030 has 160 divisors (see below), whose sum is σ = 37770074496. Its totient is φ = 3308967936.

The previous prime is 13225245023. The next prime is 13225245043. The reversal of 13225245030 is 3054252231.

It is a happy number.

13225245030 is a `hidden beast` number, since 132 + 2 + 5 + 24 + 503 + 0 = 666.

It is a super-2 number, since 2×132252450302 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13225244985 and 13225245003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5052282 + ... + 5054898.

Almost surely, 213225245030 is an apocalyptic number.

13225245030 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 13225245030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18885037248).

13225245030 is an abundant number, since it is smaller than the sum of its proper divisors (24544829466).

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

13225245030 is a wasteful number, since it uses less digits than its factorization.

13225245030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 13225245030 its reverse (3054252231), we get a palindrome (16279497261).

The spelling of 13225245030 in words is "thirteen billion, two hundred twenty-five million, two hundred forty-five thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 367 405 459 510 734 765 810 918 1101 1377 1530 1835 2202 2295 2617 2754 3303 3670 4590 5234 5505 6239 6606 6885 7851 9909 11010 12478 13085 13770 15702 16515 18717 19818 23553 26170 29727 31195 33030 37434 39255 44489 47106 49545 56151 59454 62390 70659 78510 88978 93585 99090 112302 117765 133467 141318 148635 168453 187170 211977 222445 235530 266934 280755 297270 336906 353295 400401 423954 444890 505359 561510 667335 706590 800802 842265 960439 1010718 1059885 1201203 1334670 1684530 1920878 2002005 2119770 2402406 2526795 2881317 3603609 4004010 4802195 5053590 5762634 6006015 7207218 8643951 9604390 12012030 14406585 16327463 17287902 18018045 25931853 28813170 32654926 36036090 43219755 48982389 51863706 77795559 81637315 86439510 97964778 129659265 146947167 155591118 163274630 244911945 259318530 293894334 388977795 440841501 489823890 734735835 777955590 881683002 1322524503 1469471670 2204207505 2645049006 4408415010 6612622515 13225245030