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12003310023030 = 2345311609297097
BaseRepresentation
bin1010111010101011110100…
…0001111011000101110110
31120111111122022110200210000
42232222331001323011312
53033130234331214110
641310124451212130
72346132132521304
oct256527501730566
946444568420700
1012003310023030
113908636645127
12141a3a42a7046
13690ba43a10b1
142d6d6b447274
1515c3788031c0
hexaeabd07b176

12003310023030 has 160 divisors (see below), whose sum is σ = 33337532954880. Its totient is φ = 3095692784640.

The previous prime is 12003310022989. The next prime is 12003310023031. The reversal of 12003310023030 is 3032001330021.

12003310023030 is a `hidden beast` number, since 120 + 0 + 3 + 310 + 0 + 230 + 3 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12003310022994 and 12003310023012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003310023031) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40253442 + ... + 40550538.

It is an arithmetic number, because the mean of its divisors is an integer number (208359580968).

Almost surely, 212003310023030 is an apocalyptic number.

12003310023030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12003310023030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16668766477440).

12003310023030 is an abundant number, since it is smaller than the sum of its proper divisors (21334222931850).

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

12003310023030 is a wasteful number, since it uses less digits than its factorization.

12003310023030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298756 (or 298747 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12003310023030 its reverse (3032001330021), we get a palindrome (15035311353051).

The spelling of 12003310023030 in words is "twelve trillion, three billion, three hundred ten million, twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 270 279 310 405 465 558 810 837 930 1395 1609 1674 2511 2790 3218 4185 4827 5022 8045 8370 9654 12555 14481 16090 24135 25110 28962 43443 48270 49879 72405 86886 99758 130329 144810 149637 217215 249395 260658 297097 299274 434430 448911 498790 594194 651645 748185 891291 897822 1303290 1346733 1485485 1496370 1782582 2244555 2673873 2693466 2970970 4040199 4456455 4489110 5347746 6733665 8021619 8080398 8912910 9210007 13369365 13467330 16043238 18420014 20200995 24064857 26738730 27630021 40108095 40401990 46050035 48129714 55260042 80216190 82890063 92100070 120324285 138150105 165780126 240648570 248670189 276300210 414450315 478029073 497340378 746010567 828900630 956058146 1243350945 1434087219 1492021134 2390145365 2486701890 2868174438 3730052835 4302261657 4780290730 7170436095 7460105670 8604523314 12906784971 14340872190 14818901263 21511308285 25813569942 29637802526 38720354913 43022616570 44456703789 64533924855 74094506315 77440709826 88913407578 129067849710 133370111367 148189012630 193601774565 222283518945 266740222734 387203549130 400110334101 444567037890 666850556835 800220668202 1200331002303 1333701113670 2000551670505 2400662004606 4001103341010 6001655011515 12003310023030