Search a number
-
+
431411311122 = 231115751798039
BaseRepresentation
bin1100100011100100001…
…11100011001000010010
31112020112210111022021020
412101302013203020102
524032012243423442
6530104305340310
743111526432361
oct6216207431022
91466483438236
10431411311122
11156a62490360
126b73a937696
13318b321247c
1416c47c257d8
15b34e39d9ec
hex64721e3212

431411311122 has 64 divisors (see below), whose sum is σ = 947557094400. Its totient is φ = 129856783680.

The previous prime is 431411311027. The next prime is 431411311153. The reversal of 431411311122 is 221113114134.

It is a super-2 number, since 2×4314113111222 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431411311092 and 431411311101.

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, 53660779 + ... + 53668817.

It is an arithmetic number, because the mean of its divisors is an integer number (14805579600).

Almost surely, 2431411311122 is an apocalyptic number.

431411311122 is an abundant number, since it is smaller than the sum of its proper divisors (516145783278).

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

431411311122 is a wasteful number, since it uses less digits than its factorization.

431411311122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13391.

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

Adding to 431411311122 its reverse (221113114134), we get a palindrome (652524425256).

The spelling of 431411311122 in words is "four hundred thirty-one billion, four hundred eleven million, three hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 157 314 471 942 1727 3454 5179 5181 8039 10358 10362 15537 16078 24117 31074 48234 56969 88429 113938 170907 176858 265287 341814 530574 813103 1262123 1626206 2439309 2524246 3786369 4878618 7572738 8944133 13883353 17888266 26832399 27766706 41633981 41650059 53664798 83267962 83300118 124901943 249803886 457973791 915947582 1373921373 2747842746 6536535017 13073070034 19609605051 39219210102 71901885187 143803770374 215705655561 431411311122