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431213202312134 = 211210373212363029
BaseRepresentation
bin110001000001011111010010…
…1101111110000101111000110
32002112210120122111010221010212
41202002332211233300233012
5423004444114242442014
64125040335502115422
7156554061065666534
oct14202764557605706
92075716574127125
10431213202312134
11115441546000300
1240444010b7bb72
131567c2cc5301c8
14786ab8a6ad154
1534cbca1ba923e
hex1882fa5bf0bc6

431213202312134 has 48 divisors (see below), whose sum is σ = 717968176467360. Its totient is φ = 194076434851200.

The previous prime is 431213202312131. The next prime is 431213202312169.

431213202312134 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 431213202312134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431213202312131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181301732 + ... + 183664760.

It is an arithmetic number, because the mean of its divisors is an integer number (14957670343070).

Almost surely, 2431213202312134 is an apocalyptic number.

431213202312134 is a deficient number, since it is larger than the sum of its proper divisors (286754974155226).

431213202312134 is a wasteful number, since it uses less digits than its factorization.

431213202312134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370477 (or 2370466 counting only the distinct ones).

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

It can be divided in two parts, 43121320 and 2312134, that added together give a palindrome (45433454).

The spelling of 431213202312134 in words is "four hundred thirty-one trillion, two hundred thirteen billion, two hundred two million, three hundred twelve thousand, one hundred thirty-four".

Divisors: 1 2 11 22 103 121 206 242 1133 2266 7321 12463 14642 24926 80531 161062 754063 885841 1508126 1771682 2363029 4726058 8294693 16589386 25993319 51986638 91241623 182483246 243391987 285926509 486783974 571853018 2677311857 5354623714 17299735309 29450430427 34599470618 58900860854 190297088399 380594176798 1781872736827 2093267972389 3563745473654 4186535944778 19600600105097 39201200210194 215606601156067 431213202312134