Search a number
-
+
132431010310 = 2517258137883
BaseRepresentation
bin111101101010110000…
…0001101101000000110
3110122211100022100211201
41323111200031220012
54132204314312220
6140501000053114
712365523004654
oct1732540155006
9418740270751
10132431010310
1151188942165
12217baa6419a
13c64672a281
1465a42bbdd4
1536a14b2d0a
hex1ed580da06

132431010310 has 48 divisors (see below), whose sum is σ = 253298444976. Its totient is φ = 49841480192.

The previous prime is 132431010301. The next prime is 132431010319. The reversal of 132431010310 is 13010134231.

It is an interprime number because it is at equal distance from previous prime (132431010301) and next prime (132431010319).

It is a super-2 number, since 2×1324310103102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132431010319) 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 23 ways as a sum of consecutive naturals, for example, 16795629 + ... + 16803511.

It is an arithmetic number, because the mean of its divisors is an integer number (5277050937).

Almost surely, 2132431010310 is an apocalyptic number.

132431010310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132431010310 is a deficient number, since it is larger than the sum of its proper divisors (120867434666).

132431010310 is a wasteful number, since it uses less digits than its factorization.

132431010310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13737 (or 13720 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 132431010310 its reverse (13010134231), we get a palindrome (145441144541).

The spelling of 132431010310 in words is "one hundred thirty-two billion, four hundred thirty-one million, ten thousand, three hundred ten".

Divisors: 1 2 5 10 17 34 85 170 289 578 1445 2890 5813 7883 11626 15766 29065 39415 58130 78830 98821 134011 197642 268022 494105 670055 988210 1340110 1679957 2278187 3359914 4556374 8399785 11390935 16799570 22781870 45823879 91647758 229119395 458238790 779005943 1558011886 3895029715 7790059430 13243101031 26486202062 66215505155 132431010310