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123213312321 = 3114450783891
BaseRepresentation
bin111001011000000010…
…1011111000101000001
3102210000221120210022220
41302300011133011001
54004320101443241
6132334200521253
711621224605621
oct1626005370501
9383027523286
10123213312321
1148288780240
121ba67a80229
13b807b372c8
145d6bdd8881
153312133166
hex1cb015f141

123213312321 has 16 divisors (see below), whose sum is σ = 179225526528. Its totient is φ = 74672166800.

The previous prime is 123213312293. The next prime is 123213312323.

123213312321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 123213312321 - 27 = 123213312193 is a prime.

It is a super-2 number, since 2×1232133123212 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123213312291 and 123213312300.

It is not an unprimeable number, because it can be changed into a prime (123213312323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1426786 + ... + 1510676.

It is an arithmetic number, because the mean of its divisors is an integer number (11201595408).

Almost surely, 2123213312321 is an apocalyptic number.

123213312321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123213312321 is a deficient number, since it is larger than the sum of its proper divisors (56012214207).

123213312321 is a wasteful number, since it uses less digits than its factorization.

123213312321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128412.

The product of its digits is 1296, while the sum is 24.

It can be divided in two parts, 123213 and 312321, that added together give a palindrome (435534).

The spelling of 123213312321 in words is "one hundred twenty-three billion, two hundred thirteen million, three hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 11 33 44507 83891 133521 251673 489577 922801 1468731 2768403 3733736737 11201210211 41071104107 123213312321