Search a number
-
+
12413200410 = 2325132816121
BaseRepresentation
bin10111000111110001…
…00110100000011010
31012001002121220202100
423203320212200122
5200410234403120
65411425544230
7616416314442
oct134370464032
935032556670
1012413200410
11529aa23216
1224a51a5076
13122a948600
1485a85b122
154c9b90490
hex2e3e2681a

12413200410 has 72 divisors (see below), whose sum is σ = 34947976284. Its totient is φ = 3055553280.

The previous prime is 12413200391. The next prime is 12413200421. The reversal of 12413200410 is 1400231421.

12413200410 is a `hidden beast` number, since 12 + 41 + 3 + 200 + 410 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 528494121 + 11884706289 = 22989^2 + 109017^2 .

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 35 ways as a sum of consecutive naturals, for example, 392851 + ... + 423270.

Almost surely, 212413200410 is an apocalyptic number.

12413200410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12413200410 is an abundant number, since it is smaller than the sum of its proper divisors (22534775874).

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

12413200410 is a wasteful number, since it uses less digits than its factorization.

12413200410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816160 (or 816144 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12413200410 its reverse (1400231421), we get a palindrome (13813431831).

The spelling of 12413200410 in words is "twelve billion, four hundred thirteen million, two hundred thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1690 2535 3042 5070 7605 15210 816121 1632242 2448363 4080605 4896726 7345089 8161210 10609573 12241815 14690178 21219146 24483630 31828719 36725445 53047865 63657438 73450890 95486157 106095730 137924449 159143595 190972314 275848898 318287190 413773347 477430785 689622245 827546694 954861570 1241320041 1379244490 2068866735 2482640082 4137733470 6206600205 12413200410