Search a number
-
+
120331132002 = 2326685062889
BaseRepresentation
bin111000000010001001…
…0110101110001100010
3102111121002020212012200
41300010102311301202
53432414232211002
6131140201434030
711456626513554
oct1600422656142
9374532225180
10120331132002
1147039872534
121b3a279b916
13b468995473
145b773014d4
1531e40b3b1c
hex1c044b5c62

120331132002 has 12 divisors (see below), whose sum is σ = 260717452710. Its totient is φ = 40110377328.

The previous prime is 120331131919. The next prime is 120331132003. The reversal of 120331132002 is 200231133021.

120331132002 is a `hidden beast` number, since 12 + 0 + 331 + 1 + 320 + 0 + 2 = 666.

120331132002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 89796714921 + 30534417081 = 299661^2 + 174741^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 6685062889 = 120331132002 / (1 + 2 + 0 + 3 + 3 + 1 + 1 + 3 + 2 + 0 + 0 + 2).

It is not an unprimeable number, because it can be changed into a prime (120331132003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3342531427 + ... + 3342531462.

Almost surely, 2120331132002 is an apocalyptic number.

120331132002 is an abundant number, since it is smaller than the sum of its proper divisors (140386320708).

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

120331132002 is a wasteful number, since it uses less digits than its factorization.

120331132002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6685062897 (or 6685062894 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120331132002 its reverse (200231133021), we get a palindrome (320562265023).

The spelling of 120331132002 in words is "one hundred twenty billion, three hundred thirty-one million, one hundred thirty-two thousand, two".

Divisors: 1 2 3 6 9 18 6685062889 13370125778 20055188667 40110377334 60165566001 120331132002