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123304013104 = 24236148711279
BaseRepresentation
bin111001011010101111…
…1011110110100110000
3102210021021020212102011
41302311133132310300
54010011311404404
6132351200532304
711623405550446
oct1626537366460
9383237225364
10123304013104
11483249a0068
121ba92321094
13b8208731cc
145d7a088b96
15331a09c604
hex1cb57ded30

123304013104 has 80 divisors (see below), whose sum is σ = 253918033920. Its totient is φ = 57880500480.

The previous prime is 123304013071. The next prime is 123304013143. The reversal of 123304013104 is 401310403321.

123304013104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10926537 + ... + 10937815.

It is an arithmetic number, because the mean of its divisors is an integer number (3173975424).

Almost surely, 2123304013104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123304013104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126959016960).

123304013104 is an abundant number, since it is smaller than the sum of its proper divisors (130614020816).

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

123304013104 is a wasteful number, since it uses less digits than its factorization.

123304013104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11858 (or 11852 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 123304013104 its reverse (401310403321), we get a palindrome (524614416425).

The spelling of 123304013104 in words is "one hundred twenty-three billion, three hundred four million, thirteen thousand, one hundred four".

Divisors: 1 2 4 8 16 23 46 61 92 122 184 244 368 487 488 974 976 1403 1948 2806 3896 5612 7792 11201 11224 11279 22402 22448 22558 29707 44804 45116 59414 89608 90232 118828 179216 180464 237656 259417 475312 518834 683261 688019 1037668 1366522 1376038 2075336 2733044 2752076 4150672 5466088 5492873 5504152 10932176 10985746 11008304 15824437 21971492 31648874 43942984 63297748 87885968 126336079 126595496 252672158 253190992 335065253 505344316 670130506 1010688632 1340261012 2021377264 2680522024 5361044048 7706500819 15413001638 30826003276 61652006552 123304013104