Search a number
-
+
13110401412252 = 2233592057501791
BaseRepresentation
bin1011111011001000000011…
…0100011010110010011100
31201102100020102020100202000
42332302000310122302130
53204300100230143002
643514500230002300
72522123653205064
oct276620064326234
951370212210660
1013110401412252
1141a50a989a871
121578a72aa6390
137413c839c661
1433479265a3a4
1517b071b2161c
hexbec80d1ac9c

13110401412252 has 48 divisors (see below), whose sum is σ = 34566030105600. Its totient is φ = 4296063737520.

The previous prime is 13110401412217. The next prime is 13110401412323. The reversal of 13110401412252 is 25221410401131.

13110401412252 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 0 + 401 + 4 + 1 + 2 + 252 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 1028744524 + ... + 1028757267.

It is an arithmetic number, because the mean of its divisors is an integer number (720125627200).

Almost surely, 213110401412252 is an apocalyptic number.

13110401412252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13110401412252 is an abundant number, since it is smaller than the sum of its proper divisors (21455628693348).

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

13110401412252 is a wasteful number, since it uses less digits than its factorization.

13110401412252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057501863 (or 2057501855 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 13110401412252 its reverse (25221410401131), we get a palindrome (38331811813383).

The spelling of 13110401412252 in words is "thirteen trillion, one hundred ten billion, four hundred one million, four hundred twelve thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 354 531 708 1062 1593 2124 3186 6372 2057501791 4115003582 6172505373 8230007164 12345010746 18517516119 24690021492 37035032238 55552548357 74070064476 111105096714 121392605669 222210193428 242785211338 364177817007 485570422676 728355634014 1092533451021 1456711268028 2185066902042 3277600353063 4370133804084 6555200706126 13110401412252