Search a number
-
+
10431312332 = 2274171127979
BaseRepresentation
bin10011011011100000…
…10011000111001100
3222220222100120102012
421231300103013030
5132330403443312
64443031120352
7516332456210
oct115560230714
928828316365
1010431312332
114473227391
1220315130b8
13ca317317c
1470d558940
15410ba9322
hex26dc131cc

10431312332 has 48 divisors (see below), whose sum is σ = 21672645120. Its totient is φ = 4300060800.

The previous prime is 10431312323. The next prime is 10431312347. The reversal of 10431312332 is 23321313401.

It is a junction number, because it is equal to n+sod(n) for n = 10431312298 and 10431312307.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17519 + ... + 145497.

It is an arithmetic number, because the mean of its divisors is an integer number (451513440).

Almost surely, 210431312332 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 10431312332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10836322560).

10431312332 is an abundant number, since it is smaller than the sum of its proper divisors (11241332788).

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

10431312332 is a wasteful number, since it uses less digits than its factorization.

10431312332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128102 (or 128100 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 10431312332 its reverse (23321313401), we get a palindrome (33752625733).

The spelling of 10431312332 in words is "ten billion, four hundred thirty-one million, three hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 41 71 82 142 164 284 287 497 574 994 1148 1988 2911 5822 11644 20377 40754 81508 127979 255958 511916 895853 1791706 3583412 5247139 9086509 10494278 18173018 20988556 36346036 36729973 63605563 73459946 127211126 146919892 254422252 372546869 745093738 1490187476 2607828083 5215656166 10431312332