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13230004410 = 2325728533517
BaseRepresentation
bin11000101001001000…
…11101100010111010
31021011000120212012100
430110210131202322
5204043340120120
610024444524230
7645565116300
oct142444354272
937130525170
1013230004410
115679aa1147
122692850676
13132ac32c9c
148d711c270
15526736490
hex31491d8ba

13230004410 has 144 divisors (see below), whose sum is σ = 40072313736. Its totient is φ = 3019597056.

The previous prime is 13230004397. The next prime is 13230004427. The reversal of 13230004410 is 1440003231.

It can be written as a sum of positive squares in 4 ways, for example, as 10792508769 + 2437495641 = 103887^2 + 49371^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 3759972 + ... + 3763488.

Almost surely, 213230004410 is an apocalyptic number.

13230004410 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 13230004410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20036156868).

13230004410 is an abundant number, since it is smaller than the sum of its proper divisors (26842309326).

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

13230004410 is a wasteful number, since it uses less digits than its factorization.

13230004410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4397 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13230004410 its reverse (1440003231), we get a palindrome (14670007641).

The spelling of 13230004410 in words is "thirteen billion, two hundred thirty million, four thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 853 882 1470 1706 2205 2559 3517 4265 4410 5118 5971 7034 7677 8530 10551 11942 12795 15354 17585 17913 21102 24619 25590 29855 31653 35170 35826 38385 41797 49238 52755 53739 59710 63306 73857 76770 83594 89565 105510 107478 123095 125391 147714 158265 172333 179130 208985 221571 246190 250782 268695 316530 344666 369285 376173 417970 443142 516999 537390 626955 738570 752346 861665 1033998 1107855 1253910 1550997 1723330 1880865 2215710 2584995 3000001 3101994 3761730 5169990 6000002 7754985 9000003 15000005 15509970 18000006 21000007 27000009 30000010 42000014 45000015 54000018 63000021 90000030 105000035 126000042 135000045 147000049 189000063 210000070 270000090 294000098 315000105 378000126 441000147 630000210 735000245 882000294 945000315 1323000441 1470000490 1890000630 2205000735 2646000882 4410001470 6615002205 13230004410