Search a number
-
+
2313434343132 = 2232112531091447
BaseRepresentation
bin100001101010100011011…
…011101010011011011100
322012011101012212012221100
4201222203123222123130
5300400403142440012
64530435502433100
7326066026314513
oct41524333523334
98164335765840
102313434343132
11812138414a00
12314438592790
1313a20473c033
147dd83d0167a
154029ecd78dc
hex21aa36ea6dc

2313434343132 has 54 divisors (see below), whose sum is σ = 6427799795144. Its totient is φ = 701040708720.

The previous prime is 2313434343127. The next prime is 2313434343169.

2313434343132 is a `hidden beast` number, since 23 + 134 + 3 + 43 + 431 + 32 = 666.

2313434343132 is nontrivially palindromic in base 10.

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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 265541368 + ... + 265550079.

Almost surely, 22313434343132 is an apocalyptic number.

2313434343132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2313434343132 is an abundant number, since it is smaller than the sum of its proper divisors (4114365452012).

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

2313434343132 is a wasteful number, since it uses less digits than its factorization.

2313434343132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531091479 (or 531091463 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The spelling of 2313434343132 in words is "two trillion, three hundred thirteen billion, four hundred thirty-four million, three hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 531091447 1062182894 1593274341 2124365788 3186548682 4779823023 5842005917 6373097364 9559646046 11684011834 17526017751 19119292092 23368023668 35052035502 52578053253 64262065087 70104071004 105156106506 128524130174 192786195261 210312213012 257048260348 385572390522 578358585783 771144781044 1156717171566 2313434343132