Search a number
-
+
123010343010321 = 313101112327808393
BaseRepresentation
bin11011111110000010010011…
…110011001000000000010001
3121010112200012022020200012220
4123332002103303020000101
5112110400140302312241
61113342101011011253
734624126654446264
oct3376022363100021
9533480168220186
10123010343010321
11362164368356a8
121196828ab99b29
135383a96a23910
142253a37896cdb
15e34babe10166
hex6fe093cc8011

123010343010321 has 32 divisors (see below), whose sum is σ = 178537898297472. Its totient is φ = 74882437977600.

The previous prime is 123010343010319. The next prime is 123010343010353.

123010343010321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 123010343010321 - 21 = 123010343010319 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 123010343010291 and 123010343010300.

It is not an unprimeable number, because it can be changed into a prime (123010343050321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9480700 + ... + 18327693.

It is an arithmetic number, because the mean of its divisors is an integer number (5579309321796).

Almost surely, 2123010343010321 is an apocalyptic number.

It is an amenable number.

123010343010321 is a deficient number, since it is larger than the sum of its proper divisors (55527555287151).

123010343010321 is a wasteful number, since it uses less digits than its factorization.

123010343010321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27809633.

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

The spelling of 123010343010321 in words is "one hundred twenty-three trillion, ten billion, three hundred forty-three million, ten thousand, three hundred twenty-one".

Divisors: 1 3 13 39 101 303 1123 1313 3369 3939 14599 43797 113423 340269 1474499 4423497 27808393 83425179 361509109 1084527327 2808647693 8425943079 31228825339 36512420009 93686476017 109537260027 405974729407 1217924188221 3154111359239 9462334077717 41003447670107 123010343010321