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13002133650 = 23521125691259
BaseRepresentation
bin11000001101111110…
…01101000010010010
31020120010210211021120
430012333031002102
5203112021234100
65550104503110
7640130212122
oct140677150222
936503724246
1013002133650
115572402500
12262a47aa96
1312c296ac0c
148b4b62c82
155117240a0
hex306fcd092

13002133650 has 144 divisors (see below), whose sum is σ = 35533663200. Its totient is φ = 3143993600.

The previous prime is 13002133649. The next prime is 13002133667. The reversal of 13002133650 is 5633120031.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13002133650.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10326721 + ... + 10327979.

It is an arithmetic number, because the mean of its divisors is an integer number (246761550).

Almost surely, 213002133650 is an apocalyptic number.

13002133650 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 13002133650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17766831600).

13002133650 is an abundant number, since it is smaller than the sum of its proper divisors (22531529550).

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

13002133650 is a wasteful number, since it uses less digits than its factorization.

13002133650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 13002133650 its reverse (5633120031), we get a palindrome (18635253681).

The spelling of 13002133650 in words is "thirteen billion, two million, one hundred thirty-three thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 121 150 165 242 275 330 363 550 569 605 726 825 1138 1210 1259 1650 1707 1815 2518 2845 3025 3414 3630 3777 5690 6050 6259 6295 7554 8535 9075 12518 12590 13849 14225 17070 18150 18777 18885 27698 28450 31295 31475 37554 37770 41547 42675 62590 62950 68849 69245 83094 85350 93885 94425 137698 138490 152339 156475 187770 188850 206547 207735 304678 312950 344245 346225 413094 415470 457017 469425 688490 692450 716371 761695 914034 938850 1032735 1038675 1432742 1523390 1721225 2065470 2077350 2149113 2285085 3442450 3581855 3808475 4298226 4570170 5163675 7163710 7616950 7880081 10327350 10745565 11425425 15760162 17909275 21491130 22850850 23640243 35818550 39400405 47280486 53727825 78800810 86680891 107455650 118201215 173361782 197002025 236402430 260042673 394004050 433404455 520085346 591006075 866808910 1182012150 1300213365 2167022275 2600426730 4334044550 6501066825 13002133650