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2431233012 = 22313831031823
BaseRepresentation
bin1001000011101001…
…1010101111110100
320021102210102201010
42100322122233310
514434343424022
61041125432220
7114151065615
oct22072325764
96242712633
102431233012
11103840538a
1257a26b670
132c9902c20
14190c6dc0c
15e369550c
hex90e9abf4

2431233012 has 96 divisors (see below), whose sum is σ = 6246309888. Its totient is φ = 731481984.

The previous prime is 2431233011. The next prime is 2431233017. The reversal of 2431233012 is 2103321342.

It is a self number, because there is not a number n which added to its sum of digits gives 2431233012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431233011) 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, 1332733 + ... + 1334555.

It is an arithmetic number, because the mean of its divisors is an integer number (65065728).

Almost surely, 22431233012 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 2431233012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123154944).

2431233012 is an abundant number, since it is smaller than the sum of its proper divisors (3815076876).

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

2431233012 is a wasteful number, since it uses less digits than its factorization.

2431233012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2431233012 is about 49307.5350428309. The cubic root of 2431233012 is about 1344.6487775269.

Adding to 2431233012 its reverse (2103321342), we get a palindrome (4534554354).

The spelling of 2431233012 in words is "two billion, four hundred thirty-one million, two hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 83 103 156 166 206 249 309 332 412 498 618 996 1079 1236 1339 1823 2158 2678 3237 3646 4017 4316 5356 5469 6474 7292 8034 8549 10938 12948 16068 17098 21876 23699 25647 34196 47398 51294 71097 94796 102588 111137 142194 151309 187769 222274 284388 302618 333411 375538 444548 453927 563307 605236 666822 751076 907854 1126614 1333644 1815708 1967017 2253228 2440997 3934034 4881994 5901051 7322991 7868068 9763988 11802102 14645982 15584827 23604204 29291964 31169654 46754481 62339308 93508962 187017924 202602751 405205502 607808253 810411004 1215616506 2431233012