Search a number
-
+
132322300331 = 13312291433813
BaseRepresentation
bin111101100111100000…
…1100001000110101011
3110122112202202022210012
41323033001201012223
54131444002102311
6140442114042135
712363032665154
oct1731701410653
9418482668705
10132322300331
1151132541801
122178a57934b
13c62a057140
146593aa092b
153696b8c78b
hex1ecf0611ab

132322300331 has 16 divisors (see below), whose sum is σ = 147740194560. Its totient is φ = 117687288960.

The previous prime is 132322300249. The next prime is 132322300349. The reversal of 132322300331 is 133003223231.

It is not a de Polignac number, because 132322300331 - 234 = 115142431147 is a prime.

It is a super-2 number, since 2×1323223003312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132322300297 and 132322300306.

It is not an unprimeable number, because it can be changed into a prime (132322300361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624620 + ... + 809193.

It is an arithmetic number, because the mean of its divisors is an integer number (9233762160).

Almost surely, 2132322300331 is an apocalyptic number.

132322300331 is a deficient number, since it is larger than the sum of its proper divisors (15417894229).

132322300331 is a wasteful number, since it uses less digits than its factorization.

132322300331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434086.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 132322300331 its reverse (133003223231), we get a palindrome (265325523562).

The spelling of 132322300331 in words is "one hundred thirty-two billion, three hundred twenty-two million, three hundred thousand, three hundred thirty-one".

Divisors: 1 13 31 229 403 2977 7099 92287 1433813 18639569 44448203 328343177 577826639 4268461301 10178638487 132322300331