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12301123301000 = 235325759979907
BaseRepresentation
bin1011001100000001010000…
…0101011010111010001000
31121112222100102200201211022
42303000110011122322020
53103020200031113000
642055020311252012
72406504205566032
oct263002405327210
947488312621738
1012301123301000
113a12971460836
12146805937a008
136b2cb6169c31
1430753dda6c52
15164ea9019585
hexb301415ae88

12301123301000 has 128 divisors (see below), whose sum is σ = 28945234656000. Its totient is φ = 4893059891200.

The previous prime is 12301123300969. The next prime is 12301123301017. The reversal of 12301123301000 is 10332110321.

It is a self number, because there is not a number n which added to its sum of digits gives 12301123301000.

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 31 ways as a sum of consecutive naturals, for example, 153903047 + ... + 153982953.

It is an arithmetic number, because the mean of its divisors is an integer number (226134645750).

Almost surely, 212301123301000 is an apocalyptic number.

12301123301000 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 12301123301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14472617328000).

12301123301000 is an abundant number, since it is smaller than the sum of its proper divisors (16644111355000).

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

12301123301000 is a wasteful number, since it uses less digits than its factorization.

12301123301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80784 (or 80770 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12301123301000 its reverse (10332110321), we get a palindrome (12311455411321).

The spelling of 12301123301000 in words is "twelve trillion, three hundred one billion, one hundred twenty-three million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 257 500 514 599 1000 1028 1198 1285 2056 2396 2570 2995 4792 5140 5990 6425 10280 11980 12850 14975 23960 25700 29950 32125 51400 59900 64250 74875 79907 119800 128500 149750 153943 159814 257000 299500 307886 319628 399535 599000 615772 639256 769715 799070 1231544 1539430 1598140 1997675 3078860 3196280 3848575 3995350 6157720 7697150 7990700 9988375 15394300 15981400 19242875 19976750 20536099 30788600 38485750 39953500 41072198 47864293 76971500 79907000 82144396 95728586 102680495 153943000 164288792 191457172 205360990 239321465 382914344 410721980 478642930 513402475 821443960 957285860 1026804950 1196607325 1914571720 2053609900 2393214650 2567012375 4107219800 4786429300 5134024750 5983036625 9572858600 10268049500 11966073250 12301123301 20536099000 23932146500 24602246602 47864293000 49204493204 61505616505 98408986408 123011233010 246022466020 307528082525 492044932040 615056165050 1230112330100 1537640412625 2460224660200 3075280825250 6150561650500 12301123301000