Search a number
-
+
13311413120401 = 112377343992779
BaseRepresentation
bin1100000110110100111000…
…0011001110110110010001
31202010120002021020010220121
43001231032003032312101
53221043233224323101
644151102340310241
72542501140425404
oct301551603166621
952116067203817
1013311413120401
11427237a751300
1215aba113a2381
13757351197bb6
143403c0c55d3b
151813d8cdb0a1
hexc1b4e0ced91

13311413120401 has 48 divisors (see below), whose sum is σ = 15267713507200. Its totient is φ = 11586354151680.

The previous prime is 13311413120387. The next prime is 13311413120407. The reversal of 13311413120401 is 10402131411331.

It is not a de Polignac number, because 13311413120401 - 27 = 13311413120273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13311413120407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143428030 + ... + 143520808.

Almost surely, 213311413120401 is an apocalyptic number.

13311413120401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13311413120401 is a deficient number, since it is larger than the sum of its proper divisors (1956300386799).

13311413120401 is a wasteful number, since it uses less digits than its factorization.

13311413120401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93350 (or 93339 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 13311413120401 its reverse (10402131411331), we get a palindrome (23713544531732).

The spelling of 13311413120401 in words is "thirteen trillion, three hundred eleven billion, four hundred thirteen million, one hundred twenty thousand, four hundred one".

Divisors: 1 11 37 73 121 407 439 803 2701 4477 4829 8833 16243 29711 32047 53119 92779 178673 326821 352517 1020569 1185739 1965403 3432823 3877687 6772867 11226259 13043129 37761053 40729981 74501537 143474419 250596079 415371583 448029791 819516907 1507009297 2756556869 2973288613 4928327701 16577102267 30322125559 32706174743 110011678681 182348124937 359767922173 1210128465491 13311413120401