Search a number
-
+
113052535431 = 311171631236317
BaseRepresentation
bin110100101001001110…
…1001100101010000111
3101210210211021211202220
41221102131030222013
53323012422113211
6123534032103423
711111355460443
oct1512235145207
9353724254686
10113052535431
1143a44233170
1219ab1094b73
13a878a468a4
145686783823
152e1a0b7806
hex1a5274ca87

113052535431 has 32 divisors (see below), whose sum is σ = 175181315328. Its totient is φ = 64090621440.

The previous prime is 113052535369. The next prime is 113052535451. The reversal of 113052535431 is 134535250311.

It is not a de Polignac number, because 113052535431 - 29 = 113052534919 is a prime.

It is a super-2 number, since 2×1130525354312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 113052535392 and 113052535401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113052535451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526716 + ... + 709601.

It is an arithmetic number, because the mean of its divisors is an integer number (5474416104).

Almost surely, 2113052535431 is an apocalyptic number.

113052535431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113052535431 is a deficient number, since it is larger than the sum of its proper divisors (62128779897).

113052535431 is a wasteful number, since it uses less digits than its factorization.

113052535431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236511.

The product of its (nonzero) digits is 27000, while the sum is 33.

Adding to 113052535431 its reverse (134535250311), we get a palindrome (247587785742).

The spelling of 113052535431 in words is "one hundred thirteen billion, fifty-two million, five hundred thirty-five thousand, four hundred thirty-one".

Divisors: 1 3 11 17 33 51 163 187 489 561 1793 2771 5379 8313 30481 91443 1236317 3708951 13599487 21017389 40798461 63052167 201519671 231191279 604559013 693573837 2216716381 3425834407 6650149143 10277503221 37684178477 113052535431