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123313212232001 = 11233117431901997
BaseRepresentation
bin11100000010011100011000…
…001101100001000101000001
3121011121121221210010021011122
4130002130120031201011001
5112130330424312411001
61114133150241322025
734655041232402501
oct3402343015410501
9534547853107148
10123313212232001
1136322926599690
12119b6b15336315
1353a6503107c1c
142264569abba01
15e3c9d642db1b
hex702718361141

123313212232001 has 32 divisors (see below), whose sum is σ = 144908966117376. Its totient is φ = 103763815848000.

The previous prime is 123313212231991. The next prime is 123313212232039. The reversal of 123313212232001 is 100232212313321.

It is not a de Polignac number, because 123313212232001 - 210 = 123313212230977 is a prime.

It is a super-2 number, since 2×1233132122320012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (123313212232051) 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 31 ways as a sum of consecutive naturals, for example, 136260335 + ... + 137162331.

It is an arithmetic number, because the mean of its divisors is an integer number (4528405191168).

Almost surely, 2123313212232001 is an apocalyptic number.

123313212232001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123313212232001 is a deficient number, since it is larger than the sum of its proper divisors (21595753885375).

123313212232001 is a wasteful number, since it uses less digits than its factorization.

123313212232001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919493.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 123313212232001 its reverse (100232212313321), we get a palindrome (223545424545322).

The spelling of 123313212232001 in words is "one hundred twenty-three trillion, three hundred thirteen billion, two hundred twelve million, two hundred thirty-two thousand, one".

Divisors: 1 11 23 31 253 341 713 7843 17431 191741 400913 540361 901997 4410043 5943971 9921967 12428303 20745931 27961907 136711333 228205241 307580977 643123861 7074362471 15722709707 172949806777 361622323261 487404000917 3977845555871 5361444010087 11210292021091 123313212232001