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31232431032 = 23311236537877
BaseRepresentation
bin11101000101100110…
…010001001110111000
32222121122022212220220
4131011212101032320
51002431000243112
622203055220040
72153653166145
oct350546211670
988548285826
1031232431032
1112277990780
126077817620
132c39802c2a
141723dbb3cc
15c2be1d98c
hex7459913b8

31232431032 has 128 divisors (see below), whose sum is σ = 89030223360. Its totient is φ = 9037867520.

The previous prime is 31232430979. The next prime is 31232431039. The reversal of 31232431032 is 23013423213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 31232430993 and 31232431011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31232431039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3961078 + ... + 3968954.

It is an arithmetic number, because the mean of its divisors is an integer number (695548620).

Almost surely, 231232431032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31232431032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44515111680).

31232431032 is an abundant number, since it is smaller than the sum of its proper divisors (57797792328).

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

31232431032 is a wasteful number, since it uses less digits than its factorization.

31232431032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8573 (or 8569 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 31232431032 its reverse (23013423213), we get a palindrome (54245854245).

It can be divided in two parts, 31232 and 431032, that added together give a palindrome (462264).

The spelling of 31232431032 in words is "thirty-one billion, two hundred thirty-two million, four hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 653 759 1012 1306 1518 1959 2024 2612 3036 3918 5224 6072 7183 7836 7877 14366 15019 15672 15754 21549 23631 28732 30038 31508 43098 45057 47262 57464 60076 63016 86196 86647 90114 94524 120152 165209 172392 173294 180228 181171 189048 259941 330418 346588 360456 362342 495627 519882 543513 660836 693176 724684 991254 1039764 1087026 1321672 1449368 1982508 1992881 2079528 2174052 3965016 3985762 4348104 5143681 5978643 7971524 10287362 11957286 15431043 15943048 20574724 23914572 30862086 41149448 47829144 56580491 61724172 113160982 118304663 123448344 169741473 226321964 236609326 339482946 354913989 452643928 473218652 678965892 709827978 946437304 1301351293 1357931784 1419655956 2602702586 2839311912 3904053879 5205405172 7808107758 10410810344 15616215516 31232431032