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13003212012 = 22372331217111
BaseRepresentation
bin11000001110000110…
…10100010011101100
31020120012211121111220
430013003110103230
5203112310241022
65550143543340
7640142323050
oct140703242354
936505747456
1013003212012
115572a7970a
12262a8bab50
1312c2c579bb
148b4d63c60
1551188885c
hex3070d44ec

13003212012 has 96 divisors (see below), whose sum is σ = 37350211584. Its totient is φ = 3439022400.

The previous prime is 13003211999. The next prime is 13003212017. The reversal of 13003212012 is 21021230031.

It is a junction number, because it is equal to n+sod(n) for n = 13003211982 and 13003212000.

It is not an unprimeable number, because it can be changed into a prime (13003212017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48664 + ... + 168447.

It is an arithmetic number, because the mean of its divisors is an integer number (389064704).

Almost surely, 213003212012 is an apocalyptic number.

13003212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13003212012 is an abundant number, since it is smaller than the sum of its proper divisors (24346999572).

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

13003212012 is a wasteful number, since it uses less digits than its factorization.

13003212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217179 (or 217177 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13003212012 its reverse (21021230031), we get a palindrome (34024442043).

The spelling of 13003212012 in words is "thirteen billion, three million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 31 42 46 62 69 84 92 93 124 138 161 186 217 276 322 372 434 483 644 651 713 868 966 1302 1426 1932 2139 2604 2852 4278 4991 8556 9982 14973 19964 29946 59892 217111 434222 651333 868444 1302666 1519777 2605332 3039554 4559331 4993553 6079108 6730441 9118662 9987106 13460882 14980659 18237324 19974212 20191323 26921764 29961318 34954871 40382646 47113087 59922636 69909742 80765292 94226174 104864613 139819484 141339261 154800143 188452348 209729226 282678522 309600286 419458452 464400429 565357044 619200572 928800858 1083601001 1857601716 2167202002 3250803003 4334404004 6501606006 13003212012