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123001331131 = 728921607573
BaseRepresentation
bin111001010001101110…
…0110101110110111011
3102202111011201000210201
41302203130311312323
54003401320044011
6132301145223031
711613042030640
oct1624334656673
9382434630721
10123001331131
114818a054678
121ba08a91a77
13b7a2c46753
145d4bbb7dc7
1532ed70dcc1
hex1ca3735dbb

123001331131 has 8 divisors (see below), whose sum is σ = 140578041824. Its totient is φ = 105425893440.

The previous prime is 123001331077. The next prime is 123001331207. The reversal of 123001331131 is 131133100321.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-123001331131 is a prime.

It is a super-2 number, since 2×1230013311312 (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 = 123001331099 and 123001331108.

It is not an unprimeable number, because it can be changed into a prime (123001335131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101340 + ... + 506233.

It is an arithmetic number, because the mean of its divisors is an integer number (17572255228).

Almost surely, 2123001331131 is an apocalyptic number.

123001331131 is a deficient number, since it is larger than the sum of its proper divisors (17576710693).

123001331131 is an equidigital number, since it uses as much as digits as its factorization.

123001331131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636501.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 123001331131 its reverse (131133100321), we get a palindrome (254134431452).

It can be divided in two parts, 12300 and 1331131, that added together give a palindrome (1343431).

The spelling of 123001331131 in words is "one hundred twenty-three billion, one million, three hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 7 28921 202447 607573 4253011 17571618733 123001331131