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123023130010320 = 24356118014665863
BaseRepresentation
bin11011111110001110001101…
…111101101010001011010000
3121010120220012110020120121110
4123332032031331222023100
5112111102332240312240
61113352013512453320
734625061563243541
oct3376161575521320
9533526173216543
10123023130010320
11362208a8758aa1
121196a8593aa240
135385053c390c7
1422544cbc184c8
15e351a97dac80
hex6fe38df6a2d0

123023130010320 has 160 divisors (see below), whose sum is σ = 387839008214784. Its totient is φ = 32250438144000.

The previous prime is 123023130010301. The next prime is 123023130010349. The reversal of 123023130010320 is 23010031320321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24033709 + ... + 28699571.

Almost surely, 2123023130010320 is an apocalyptic number.

123023130010320 is a gapful number since it is divisible by the number (10) 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 123023130010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193919504107392).

123023130010320 is an abundant number, since it is smaller than the sum of its proper divisors (264815878204464).

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

123023130010320 is a wasteful number, since it uses less digits than its factorization.

123023130010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4667741 (or 4667735 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 123023130010320 its reverse (23010031320321), we get a palindrome (146033161330641).

The spelling of 123023130010320 in words is "one hundred twenty-three trillion, twenty-three billion, one hundred thirty million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1801 1830 2440 2928 3602 3660 4880 5403 7204 7320 9005 10806 14408 14640 18010 21612 27015 28816 36020 43224 54030 72040 86448 108060 109861 144080 216120 219722 329583 432240 439444 549305 659166 878888 1098610 1318332 1647915 1757776 2197220 2636664 3295830 4394440 4665863 5273328 6591660 8788880 9331726 13183320 13997589 18663452 23329315 26366640 27995178 37326904 46658630 55990356 69987945 74653808 93317260 111980712 139975890 186634520 223961424 279951780 284617643 373269040 559903560 569235286 853852929 1119807120 1138470572 1423088215 1707705858 2276941144 2846176430 3415411716 4269264645 4553882288 5692352860 6830823432 8403219263 8538529290 11384705720 13661646864 16806438526 17077058580 22769411440 25209657789 33612877052 34154117160 42016096315 50419315578 67225754104 68308234320 84032192630 100838631156 126048288945 134451508208 168064385260 201677262312 252096577890 336128770520 403354524624 504193155780 512596375043 672257541040 1008386311560 1025192750086 1537789125129 2016772623120 2050385500172 2562981875215 3075578250258 4100771000344 5125963750430 6151156500516 7688945625645 8201542000688 10251927500860 12302313001032 15377891251290 20503855001720 24604626002064 30755782502580 41007710003440 61511565005160 123023130010320