Search a number
-
+
32312334201114 = 231117160717920891
BaseRepresentation
bin1110101100011010011010…
…01100111011000100011010
311020102000210010102222021210
413112031031030323010122
513213401130023413424
6152420025330043550
76543326522656632
oct726151514730432
9136360703388253
1032312334201114
11a328647303a80
12375a41b4195b6
131505069c7aa76
147d9cd51136c2
153b07b81ed729
hex1d634d33b11a

32312334201114 has 64 divisors (see below), whose sum is σ = 74693130918912. Its totient is φ = 9209903788800.

The previous prime is 32312334201113. The next prime is 32312334201167. The reversal of 32312334201114 is 41110243321323.

It is not an unprimeable number, because it can be changed into a prime (32312334201113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7157392 + ... + 10763499.

It is an arithmetic number, because the mean of its divisors is an integer number (1167080170608).

Almost surely, 232312334201114 is an apocalyptic number.

32312334201114 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

32312334201114 is an abundant number, since it is smaller than the sum of its proper divisors (42380796717798).

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

32312334201114 is a wasteful number, since it uses less digits than its factorization.

32312334201114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17922531.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 32312334201114 its reverse (41110243321323), we get a palindrome (73422577522437).

It can be divided in two parts, 3231233 and 4201114, that added together give a palindrome (7432347).

The spelling of 32312334201114 in words is "thirty-two trillion, three hundred twelve billion, three hundred thirty-four million, two hundred one thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 1607 3214 4821 9642 17677 27319 35354 53031 54638 81957 106062 163914 300509 601018 901527 1803054 17920891 35841782 53762673 107525346 197129801 304655147 394259602 591389403 609310294 913965441 1182778806 1827930882 3351206617 6702413234 10053619851 20107239702 28798871837 57597743674 86396615511 172793231022 316787590207 489580821229 633575180414 950362770621 979161642458 1468742463687 1900725541242 2937484927374 5385389033519 10770778067038 16156167100557 32312334201114