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12430202004 = 22341116321397
BaseRepresentation
bin10111001001110010…
…11101010010010100
31012002021121200120000
423210321131102110
5200424112431004
65413234211300
7620013654663
oct134471352224
935067550500
1012430202004
1152a9585820
1224aaa23b30
13123131c01c
1485cc04dda
154cb3ecc39
hex2e4e5d494

12430202004 has 120 divisors (see below), whose sum is σ = 35668240608. Its totient is φ = 3743444160.

The previous prime is 12430201997. The next prime is 12430202009. The reversal of 12430202004 is 40020203421.

12430202004 is a `hidden beast` number, since 12 + 430 + 20 + 200 + 4 = 666.

12430202004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12430202009) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 570234 + ... + 591630.

Almost surely, 212430202004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12430202004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17834120304).

12430202004 is an abundant number, since it is smaller than the sum of its proper divisors (23238038604).

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

12430202004 is a wasteful number, since it uses less digits than its factorization.

12430202004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21587 (or 21576 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12430202004 its reverse (40020203421), we get a palindrome (52450405425).

The spelling of 12430202004 in words is "twelve billion, four hundred thirty million, two hundred two thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 163 198 297 324 326 396 489 594 652 891 978 1188 1467 1782 1793 1956 2934 3564 3586 4401 5379 5868 7172 8802 10758 13203 16137 17604 21397 21516 26406 32274 42794 48411 52812 64191 64548 85588 96822 128382 145233 192573 193644 235367 256764 290466 385146 470734 577719 580932 706101 770292 941468 1155438 1412202 1733157 2118303 2310876 2824404 3466314 3487711 4236606 6354909 6932628 6975422 8473212 10463133 12709818 13950844 19064727 20926266 25419636 31389399 38129454 38364821 41852532 62778798 76258908 76729642 94168197 115094463 125557596 153459284 188336394 230188926 282504591 345283389 376672788 460377852 565009182 690566778 1035850167 1130018364 1381133556 2071700334 3107550501 4143400668 6215101002 12430202004