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13202414120 = 2357283166613
BaseRepresentation
bin11000100101110110…
…01101101000101000
31021002002200010102202
430102323031220220
5204014304222440
610022021315332
7645111445160
oct142273155050
937062603382
1013202414120
115665467155
122685565b48
1313252c2a7c
148d35b95a0
155240d6615
hex312ecda28

13202414120 has 64 divisors (see below), whose sum is σ = 34069230720. Its totient is φ = 4510520064.

The previous prime is 13202414063. The next prime is 13202414131. The reversal of 13202414120 is 2141420231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13202414092 and 13202414101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4067 + ... + 162546.

It is an arithmetic number, because the mean of its divisors is an integer number (532331730).

Almost surely, 213202414120 is an apocalyptic number.

13202414120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13202414120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17034615360).

13202414120 is an abundant number, since it is smaller than the sum of its proper divisors (20866816600).

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

13202414120 is a wasteful number, since it uses less digits than its factorization.

13202414120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166914 (or 166910 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13202414120 its reverse (2141420231), we get a palindrome (15343834351).

The spelling of 13202414120 in words is "thirteen billion, two hundred two million, four hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 283 566 1132 1415 1981 2264 2830 3962 5660 7924 9905 11320 15848 19810 39620 79240 166613 333226 666452 833065 1166291 1332904 1666130 2332582 3332260 4665164 5831455 6664520 9330328 11662910 23325820 46651640 47151479 94302958 188605916 235757395 330060353 377211832 471514790 660120706 943029580 1320241412 1650301765 1886059160 2640482824 3300603530 6601207060 13202414120