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13002123030 = 23513298912917
BaseRepresentation
bin11000001101111110…
…01010011100010110
31020120010210021201020
430012333022130112
5203112020414110
65550104342010
7640130136141
oct140677123426
936503707636
1013002123030
1155723a5526
12262a474906
1312c2966130
148b4b5d058
15511720d70
hex306fca716

13002123030 has 128 divisors (see below), whose sum is σ = 35157628800. Its totient is φ = 3055202304.

The previous prime is 13002123011. The next prime is 13002123049. The reversal of 13002123030 is 3032120031.

It is an interprime number because it is at equal distance from previous prime (13002123011) and next prime (13002123049).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1000132 + ... + 1013048.

It is an arithmetic number, because the mean of its divisors is an integer number (274668975).

Almost surely, 213002123030 is an apocalyptic number.

13002123030 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 13002123030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17578814400).

13002123030 is an abundant number, since it is smaller than the sum of its proper divisors (22155505770).

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

13002123030 is a wasteful number, since it uses less digits than its factorization.

13002123030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13058.

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

Adding to 13002123030 its reverse (3032120031), we get a palindrome (16034243061).

The spelling of 13002123030 in words is "thirteen billion, two million, one hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 89 130 145 174 178 195 267 290 377 390 435 445 534 754 870 890 1131 1157 1335 1885 2262 2314 2581 2670 3471 3770 5162 5655 5785 6942 7743 11310 11570 12905 12917 15486 17355 25810 25834 33553 34710 38715 38751 64585 67106 77430 77502 100659 129170 167765 167921 193755 201318 335530 335842 374593 387510 503295 503763 749186 839605 1006590 1007526 1123779 1149613 1679210 1872965 2247558 2299226 2518815 3448839 3745930 4869709 5037630 5618895 5748065 6897678 9739418 11237790 11496130 14609127 14944969 17244195 24348545 29218254 29889938 33338777 34488390 44834907 48697090 66677554 73045635 74724845 89669814 100016331 146091270 149449690 166693885 200032662 224174535 333387770 433404101 448349070 500081655 866808202 1000163310 1300212303 2167020505 2600424606 4334041010 6501061515 13002123030