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2313246423132 = 22321011031617077
BaseRepresentation
bin100001101010011000001…
…110110011100001011100
322012010220010020220011100
4201222120032303201130
5300400012041020012
64530405110553100
7326061255112011
oct41523016634134
98163803226140
102313246423132
11812051332917
123143a5668790
1313a1a4824278
147dd66d85708
154028d5678dc
hex21a983b385c

2313246423132 has 72 divisors (see below), whose sum is σ = 5911004971872. Its totient is φ = 762705936000.

The previous prime is 2313246423109. The next prime is 2313246423149.

2313246423132 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 2 + 4 + 642 + 3 + 1 + 3 + 2 = 666.

2313246423132 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×23132464231322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3440178 + ... + 4057254.

It is an arithmetic number, because the mean of its divisors is an integer number (82097291276).

Almost surely, 22313246423132 is an apocalyptic number.

It is an amenable number.

2313246423132 is an abundant number, since it is smaller than the sum of its proper divisors (3597758548740).

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

2313246423132 is a wasteful number, since it uses less digits than its factorization.

2313246423132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618219 (or 618214 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The spelling of 2313246423132 in words is "two trillion, three hundred thirteen billion, two hundred forty-six million, four hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1031 1212 1818 2062 3093 3636 4124 6186 9279 12372 18558 37116 104131 208262 312393 416524 617077 624786 937179 1234154 1249572 1851231 1874358 2468308 3702462 3748716 5553693 7404924 11107386 22214772 62324777 124649554 186974331 249299108 373948662 560922993 636206387 747897324 1121845986 1272412774 1908619161 2243691972 2544825548 3817238322 5725857483 7634476644 11451714966 22903429932 64256845087 128513690174 192770535261 257027380348 385541070522 578311605783 771082141044 1156623211566 2313246423132