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123313301104 = 24717331320333
BaseRepresentation
bin111001011011000001…
…0111010011001110000
3102210021220201202011011
41302312002322121300
54010021201113404
6132352132000304
711623550523250
oct1626602723160
9383256652134
10123313301104
114832a1642a4
121ba95460094
13b822775976
145d7b3c5960
15331acd4604
hex1cb60ba670

123313301104 has 80 divisors (see below), whose sum is σ = 275520169152. Its totient is φ = 52372629504.

The previous prime is 123313301039. The next prime is 123313301107. The reversal of 123313301104 is 401103313321.

123313301104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123313301107) 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, 6054522 + ... + 6074854.

Almost surely, 2123313301104 is an apocalyptic number.

123313301104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123313301104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137760084576).

123313301104 is an abundant number, since it is smaller than the sum of its proper divisors (152206868048).

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

123313301104 is a wasteful number, since it uses less digits than its factorization.

123313301104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20834 (or 20828 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 123313301104 its reverse (401103313321), we get a palindrome (524416614425).

The spelling of 123313301104 in words is "one hundred twenty-three billion, three hundred thirteen million, three hundred one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 173 313 346 626 692 1211 1252 1384 2191 2422 2504 2768 4382 4844 5008 8764 9688 17528 19376 20333 35056 40666 54149 81332 108298 142331 162664 216596 284662 325328 379043 433192 569324 758086 866384 1138648 1516172 2277296 3032344 3517609 6064688 6364229 7035218 12728458 14070436 24623263 25456916 28140872 44549603 49246526 50913832 56281744 89099206 98493052 101827664 178198412 196986104 356396824 393972208 712793648 1101011617 2202023234 4404046468 7707081319 8808092936 15414162638 17616185872 30828325276 61656650552 123313301104