Search a number
-
+
113352253311 = 311191635092179
BaseRepresentation
bin110100110010001010…
…0100001111101111111
3101211120201021002102010
41221210110201331333
53324121134101221
6124023500102303
711121655153503
oct1514424417577
9354521232363
10113352253311
11440884346a0
1219b75534993
13a8c5b7614b
1456b44c2303
152e3656cc76
hex1a64521f7f

113352253311 has 64 divisors (see below), whose sum is σ = 175041792000. Its totient is φ = 64526647680.

The previous prime is 113352253309. The next prime is 113352253373.

113352253311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113352253311 - 21 = 113352253309 is a prime.

It is a super-2 number, since 2×1133522533112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113352253811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52019220 + ... + 52021398.

It is an arithmetic number, because the mean of its divisors is an integer number (2735028000).

Almost surely, 2113352253311 is an apocalyptic number.

113352253311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113352253311 is a deficient number, since it is larger than the sum of its proper divisors (61689538689).

113352253311 is a wasteful number, since it uses less digits than its factorization.

113352253311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884.

The product of its digits is 8100, while the sum is 30.

It can be divided in two parts, 113352 and 253311, that added together give a palindrome (366663).

The spelling of 113352253311 in words is "one hundred thirteen billion, three hundred fifty-two million, two hundred fifty-three thousand, three hundred eleven".

Divisors: 1 3 11 19 33 57 163 209 489 509 627 1527 1793 2179 3097 5379 5599 6537 9291 9671 16797 23969 29013 34067 41401 71907 82967 102201 106381 124203 248901 319143 355177 455411 912637 1065531 1109111 1366233 1576373 2737911 3327333 3906947 4729119 6748363 11720841 12200221 17340103 20245089 21073109 36600663 52020309 63219327 74231993 180785093 222695979 231804199 542355279 695412597 1988636023 3434916767 5965908069 10304750301 37784084437 113352253311