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12310430214300 = 22352195669380971
BaseRepresentation
bin1011001100100011111011…
…0100011110100010011100
31121120212101001021220201220
42303020332310132202130
53103143230113324200
642103200014533340
72410253636212041
oct263107664364234
947525331256656
1012310430214300
113a16907a18519
121469a16207250
136b3b3a39891a
14307b840711c8
1516535111d4a0
hexb323ed1e89c

12310430214300 has 144 divisors (see below), whose sum is σ = 37499531126400. Its totient is φ = 3109446662400.

The previous prime is 12310430214283. The next prime is 12310430214343. The reversal of 12310430214300 is 341203401321.

It is a happy number.

It is a super-2 number, since 2×123104302143002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32122815 + ... + 32503785.

It is an arithmetic number, because the mean of its divisors is an integer number (260413410600).

Almost surely, 212310430214300 is an apocalyptic number.

12310430214300 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 12310430214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18749765563200).

12310430214300 is an abundant number, since it is smaller than the sum of its proper divisors (25189100912100).

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

12310430214300 is a wasteful number, since it uses less digits than its factorization.

12310430214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386676 (or 386669 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12310430214300 its reverse (341203401321), we get a palindrome (12651633615621).

The spelling of 12310430214300 in words is "twelve trillion, three hundred ten billion, four hundred thirty million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5669 5700 11338 17007 22676 28345 34014 56690 68028 85035 107711 113380 141725 170070 215422 283450 323133 340140 380971 425175 430844 538555 566900 646266 761942 850350 1077110 1142913 1292532 1523884 1615665 1700700 1904855 2154220 2285826 2692775 3231330 3809710 4571652 5385550 5714565 6462660 7238449 7619420 8078325 9524275 10771100 11429130 14476898 16156650 19048550 21715347 22858260 28572825 28953796 32313300 36192245 38097100 43430694 57145650 72384490 86861388 108576735 114291300 144768980 180961225 217153470 361922450 434306940 542883675 723844900 1085767350 2159724599 2171534700 4319449198 6479173797 8638898396 10798622995 12958347594 21597245990 25916695188 32395868985 41034767381 43194491980 53993114975 64791737970 82069534762 107986229950 123104302143 129583475940 161979344925 164139069524 205173836905 215972459900 246208604286 323958689850 410347673810 492417208572 615521510715 647917379700 820695347620 1025869184525 1231043021430 2051738369050 2462086042860 3077607553575 4103476738100 6155215107150 12310430214300