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13103200032 = 2531323126053
BaseRepresentation
bin11000011010000001…
…01111011100100000
31020211011222112021220
430031000233130200
5203313404400112
610004115015040
7642465235236
oct141500573440
936734875256
1013103200032
11561446213a
12265829a480
13130a895c00
148c4350956
1551a53998c
hex30d02f720

13103200032 has 144 divisors (see below), whose sum is σ = 38448200448. Its totient is φ = 3901547520.

The previous prime is 13103200021. The next prime is 13103200051. The reversal of 13103200032 is 23000230131.

It is a junction number, because it is equal to n+sod(n) for n = 13103199984 and 13103200020.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489918 + ... + 515970.

It is an arithmetic number, because the mean of its divisors is an integer number (267001392).

Almost surely, 213103200032 is an apocalyptic number.

13103200032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13103200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19224100224).

13103200032 is an abundant number, since it is smaller than the sum of its proper divisors (25345000416).

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

13103200032 is a wasteful number, since it uses less digits than its factorization.

13103200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26123 (or 26102 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13103200032 its reverse (23000230131), we get a palindrome (36103430163).

The spelling of 13103200032 in words is "thirteen billion, one hundred three million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 169 186 208 248 312 338 372 403 416 496 507 624 676 744 806 992 1014 1209 1248 1352 1488 1612 2028 2418 2704 2976 3224 4056 4836 5239 5408 6448 8112 9672 10478 12896 15717 16224 19344 20956 26053 31434 38688 41912 52106 62868 78159 83824 104212 125736 156318 167648 208424 251472 312636 338689 416848 502944 625272 677378 807643 833696 1016067 1250544 1354756 1615286 2032134 2422929 2501088 2709512 3230572 4064268 4402957 4845858 5419024 6461144 8128536 8805914 9691716 10499359 10838048 12922288 13208871 16257072 17611828 19383432 20998718 25844576 26417742 31498077 32514144 35223656 38766864 41997436 52835484 62996154 70447312 77533728 83994872 105670968 125992308 136491667 140894624 167989744 211341936 251984616 272983334 335979488 409475001 422683872 503969232 545966668 818950002 1007938464 1091933336 1637900004 2183866672 3275800008 4367733344 6551600016 13103200032