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123230003104 = 251321710712527
BaseRepresentation
bin111001011000100010…
…1001001111110100000
3102210002002222202210001
41302301011021332200
54004333340044404
6132335554345344
711621516513035
oct1626105117640
9383062882701
10123230003104
114829714027a
121ba7158b254
13b80b42c400
145d7030138c
15331382d7a4
hex1cb1149fa0

123230003104 has 144 divisors (see below), whose sum is σ = 280782246528. Its totient is φ = 53025263616.

The previous prime is 123230003093. The next prime is 123230003123. The reversal of 123230003104 is 401300032321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9830889 + ... + 9843415.

It is an arithmetic number, because the mean of its divisors is an integer number (1949876712).

Almost surely, 2123230003104 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 123230003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140391123264).

123230003104 is an abundant number, since it is smaller than the sum of its proper divisors (157552243424).

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

123230003104 is a wasteful number, since it uses less digits than its factorization.

123230003104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12687 (or 12666 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 123230003104 its reverse (401300032321), we get a palindrome (524530035425).

The spelling of 123230003104 in words is "one hundred twenty-three billion, two hundred thirty million, three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 107 136 169 208 214 221 272 338 416 428 442 544 676 856 884 1352 1391 1712 1768 1819 2704 2782 2873 3424 3536 3638 5408 5564 5746 7072 7276 11128 11492 12527 14552 18083 22256 22984 23647 25054 29104 36166 44512 45968 47294 50108 58208 72332 91936 94588 100216 144664 162851 189176 200432 212959 289328 307411 325702 378352 400864 425918 578656 614822 651404 756704 851836 1229644 1302808 1340389 1703672 2117063 2459288 2605616 2680778 2768467 3407344 4234126 4918576 5211232 5361556 5536934 6814688 8468252 9837152 10723112 11073868 16936504 17425057 21446224 22147736 22786613 33873008 34850114 35990071 42892448 44295472 45573226 67746016 69700228 71980142 88590944 91146452 139400456 143960284 182292904 226525741 278800912 287920568 296225969 364585808 453051482 557601824 575841136 592451938 729171616 906102964 1151682272 1184903876 1812205928 2369807752 3624411856 3850937597 4739615504 7248823712 7701875194 9479231008 15403750388 30807500776 61615001552 123230003104