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12001523430 = 23513283108739
BaseRepresentation
bin10110010110101100…
…01011011011100110
31010222101222120002210
423023112023123212
5144034342222210
65302522144250
7603260160141
oct131326133346
933871876083
1012001523430
1150a9602206
1223ab352086
131193579070
1481bcd7058
154a3971e20
hex2cb58b6e6

12001523430 has 64 divisors (see below), whose sum is σ = 31129217280. Its totient is φ = 2943755136.

The previous prime is 12001523407. The next prime is 12001523459. The reversal of 12001523430 is 3432510021.

It is a junction number, because it is equal to n+sod(n) for n = 12001523397 and 12001523406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56001 + ... + 164739.

It is an arithmetic number, because the mean of its divisors is an integer number (486394020).

Almost surely, 212001523430 is an apocalyptic number.

12001523430 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 12001523430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15564608640).

12001523430 is an abundant number, since it is smaller than the sum of its proper divisors (19127693850).

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

12001523430 is a wasteful number, since it uses less digits than its factorization.

12001523430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109045.

The product of its (nonzero) digits is 720, while the sum is 21.

The spelling of 12001523430 in words is "twelve billion, one million, five hundred twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 283 390 566 849 1415 1698 2830 3679 4245 7358 8490 11037 18395 22074 36790 55185 108739 110370 217478 326217 543695 652434 1087390 1413607 1631085 2827214 3262170 4240821 7068035 8481642 14136070 21204105 30773137 42408210 61546274 92319411 153865685 184638822 307731370 400050781 461597055 800101562 923194110 1200152343 2000253905 2400304686 4000507810 6000761715 12001523430