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32005131132 = 223131307156971
BaseRepresentation
bin11101110011101001…
…111000101101111100
310001121111022010012010
4131303221320231330
51011021303144012
622411501011220
72212055061132
oct356351705574
9101544263163
1032005131132
11126340757a7
126252553b10
133030917b20
14179887b752
15c74ba1c3c
hex773a78b7c

32005131132 has 48 divisors (see below), whose sum is σ = 80485195392. Its totient is φ = 9840135360.

The previous prime is 32005131071. The next prime is 32005131133. The reversal of 32005131132 is 23113150023.

It is a junction number, because it is equal to n+sod(n) for n = 32005131099 and 32005131108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32005131133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125407 + ... + 282377.

It is an arithmetic number, because the mean of its divisors is an integer number (1676774904).

Almost surely, 232005131132 is an apocalyptic number.

It is an amenable number.

32005131132 is an abundant number, since it is smaller than the sum of its proper divisors (48480064260).

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

32005131132 is a wasteful number, since it uses less digits than its factorization.

32005131132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158298 (or 158296 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 32005131132 its reverse (23113150023), we get a palindrome (55118281155).

The spelling of 32005131132 in words is "thirty-two billion, five million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 1307 2614 3921 5228 7842 15684 16991 33982 50973 67964 101946 156971 203892 313942 470913 627884 941826 1883652 2040623 4081246 6121869 8162492 12243738 24487476 205161097 410322194 615483291 820644388 1230966582 2461933164 2667094261 5334188522 8001282783 10668377044 16002565566 32005131132