Search a number
-
+
43122311322134 = 211311272412065841
BaseRepresentation
bin10011100111000001100100…
…00011000101101000010110
312122200110020000112020011112
421303200302003011220112
521123003443144302014
6231414041043535022
712040325034301532
oct1163406203055026
9178613200466145
1043122311322134
11128160845aa450
124a0548698a472
131b0a5550bc455
14a911b9692bc2
154eba9c2c273e
hex2738320c5a16

43122311322134 has 64 divisors (see below), whose sum is σ = 73718233104384. Its totient is φ = 18741300480000.

The previous prime is 43122311322113. The next prime is 43122311322157.

43122311322134 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 43122311322134.

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 31 ways as a sum of consecutive naturals, for example, 19841054 + ... + 21906894.

It is an arithmetic number, because the mean of its divisors is an integer number (1151847392256).

Almost surely, 243122311322134 is an apocalyptic number.

43122311322134 is a deficient number, since it is larger than the sum of its proper divisors (30595921782250).

43122311322134 is a wasteful number, since it uses less digits than its factorization.

43122311322134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066253.

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 4312231 and 1322134, that added together give a palindrome (5634365).

The spelling of 43122311322134 in words is "forty-three trillion, one hundred twenty-two billion, three hundred eleven million, three hundred twenty-two thousand, one hundred thirty-four".

Divisors: 1 2 11 22 31 62 127 241 254 341 482 682 1397 2651 2794 3937 5302 7471 7874 14942 30607 43307 61214 82181 86614 164362 336677 673354 948817 1897634 2065841 4131682 10436987 20873974 22724251 45448502 64041071 128082142 262361807 497867681 524723614 704451781 995735362 1408903562 2885979877 5476544491 5771959754 8133216017 10953088982 15433898111 16266432034 30867796222 63229195487 89465376187 126458390974 169772879221 178930752374 339545758442 695521150357 1391042300714 1960105060097 3920210120194 21561155661067 43122311322134