Search a number
-
+
32131003232 = 255397195311
BaseRepresentation
bin11101111011001010…
…000011001101100000
310001221021011002020202
4131323022003031200
51011301014100412
622432154524332
72215144010156
oct357312031540
9101837132222
1032131003232
1112699128329
1262887366a8
133050a19763
1417ab4853d6
15c80c673c2
hex77b283360

32131003232 has 48 divisors (see below), whose sum is σ = 65116239552. Its totient is φ = 15599800320.

The previous prime is 32131003231. The next prime is 32131003259. The reversal of 32131003232 is 23230013123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32131003231) 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 7 ways as a sum of consecutive naturals, for example, 66857 + ... + 262167.

It is an arithmetic number, because the mean of its divisors is an integer number (1356588324).

Almost surely, 232131003232 is an apocalyptic number.

32131003232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32131003232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32558119776).

32131003232 is an abundant number, since it is smaller than the sum of its proper divisors (32985236320).

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

32131003232 is a wasteful number, since it uses less digits than its factorization.

32131003232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195471 (or 195463 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 32131003232 its reverse (23230013123), we get a palindrome (55361016355).

The spelling of 32131003232 in words is "thirty-two billion, one hundred thirty-one million, three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 53 97 106 194 212 388 424 776 848 1552 1696 3104 5141 10282 20564 41128 82256 164512 195311 390622 781244 1562488 3124976 6249952 10351483 18945167 20702966 37890334 41405932 75780668 82811864 151561336 165623728 303122672 331247456 606245344 1004093851 2008187702 4016375404 8032750808 16065501616 32131003232