Search a number
-
+
431211112134 = 2311371017717351
BaseRepresentation
bin1100100011001100010…
…11110110011011000110
31112020000211210010212220
412101212023312123012
524031110021042014
6530032354353210
743103545656015
oct6214613663306
91466024703786
10431211112134
1115696a481950
126b6a388b806
13318808b872a
1416c293d0a7c
15b33ba056a9
hex64662f66c6

431211112134 has 64 divisors (see below), whose sum is σ = 966402565632. Its totient is φ = 127118592000.

The previous prime is 431211112127. The next prime is 431211112147.

431211112134 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4312111121342 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24843559 + ... + 24860909.

It is an arithmetic number, because the mean of its divisors is an integer number (15100040088).

Almost surely, 2431211112134 is an apocalyptic number.

431211112134 is an abundant number, since it is smaller than the sum of its proper divisors (535191453498).

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

431211112134 is a wasteful number, since it uses less digits than its factorization.

431211112134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27581.

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 431211 and 112134, that added together give a palindrome (543345).

The spelling of 431211112134 in words is "four hundred thirty-one billion, two hundred eleven million, one hundred twelve thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 10177 17351 20354 30531 34702 52053 61062 104106 111947 190861 223894 335841 376549 381722 572583 641987 671682 753098 1129647 1145166 1283974 1925961 2259294 3851922 4142039 7061857 8284078 12426117 14123714 21185571 24852234 42371142 176581127 353162254 529743381 1059486762 1942392397 3884784794 5827177191 6533501699 11654354382 13067003398 19600505097 39201010194 71868518689 143737037378 215605556067 431211112134