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123013330304 = 2729163203309
BaseRepresentation
bin111001010010000101…
…0100111010110000000
3102202112000021122120112
41302210022213112000
54003412403032204
6132302254330452
711613246024644
oct1624412472600
9382460248515
10123013330304
11481958aa847
121ba10ab9a28
13b7a5588257
145d4d61cc24
1532ee7ce26e
hex1ca42a7580

123013330304 has 64 divisors (see below), whose sum is σ = 255072726000. Its totient is φ = 59021125632.

The previous prime is 123013330291. The next prime is 123013330381. The reversal of 123013330304 is 403033310321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 123013330304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 503402 + ... + 706710.

Almost surely, 2123013330304 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 123013330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127536363000).

123013330304 is an abundant number, since it is smaller than the sum of its proper divisors (132059395696).

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

123013330304 is a wasteful number, since it uses less digits than its factorization.

123013330304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203515 (or 203503 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 123013330304 its reverse (403033310321), we get a palindrome (526046640625).

The spelling of 123013330304 in words is "one hundred twenty-three billion, thirteen million, three hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 163 232 326 464 652 928 1304 1856 2608 3712 4727 5216 9454 10432 18908 20864 37816 75632 151264 203309 302528 406618 605056 813236 1626472 3252944 5895961 6505888 11791922 13011776 23583844 26023552 33139367 47167688 66278734 94335376 132557468 188670752 265114936 377341504 530229872 754683008 961041643 1060459744 1922083286 2120919488 3844166572 4241838976 7688333144 15376666288 30753332576 61506665152 123013330304