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123011330004 = 223214939895749
BaseRepresentation
bin111001010010000001…
…0111110111111010100
3102202111212112000200100
41302210002332333110
54003411400030004
6132302143414100
711613223024113
oct1624402767724
9382455460610
10123011330004
1148194763a02
121ba102b4330
13b7a5037944
145d4d25bc7a
1532ee536739
hex1ca40befd4

123011330004 has 72 divisors (see below), whose sum is σ = 313165125000. Its totient is φ = 40711290624.

The previous prime is 123011330003. The next prime is 123011330059. The reversal of 123011330004 is 400033110321.

It can be written as a sum of positive squares in 4 ways, for example, as 3397724100 + 119613605904 = 58290^2 + 345852^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123011330003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21394122 + ... + 21399870.

It is an arithmetic number, because the mean of its divisors is an integer number (4349515625).

Almost surely, 2123011330004 is an apocalyptic number.

It is an amenable number.

123011330004 is an abundant number, since it is smaller than the sum of its proper divisors (190153794996).

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

123011330004 is a wasteful number, since it uses less digits than its factorization.

123011330004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9897 (or 9892 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 123011330004 its reverse (400033110321), we get a palindrome (523044440325).

The spelling of 123011330004 in words is "one hundred twenty-three billion, eleven million, three hundred thirty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 596 894 1341 1788 2682 3989 5364 5749 7978 11498 11967 15956 17247 22996 23934 34494 35901 47868 51741 68988 71802 103482 143604 206964 594361 856601 1188722 1713202 1783083 2377444 2569803 3426404 3566166 5139606 5349249 7132332 7709409 10279212 10698498 15418818 21396996 22932761 30837636 45865522 68798283 91731044 137596566 206394849 275193132 412789698 825579396 3416981389 6833962778 10250944167 13667925556 20501888334 30752832501 41003776668 61505665002 123011330004