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12322344130304 = 281310133655111
BaseRepresentation
bin1011001101010000010011…
…1100011101011100000000
31121122000010100102120001012
42303110010330131130000
53103342130044132204
642112450131300052
72411155113633035
oct263240474353400
947560110376035
1012322344130304
113a2097102299a
1214701a014a628
136b4cb874ca70
1430859448138c
151657ec03776e
hexb3504f1d700

12322344130304 has 72 divisors (see below), whose sum is σ = 26514752645472. Its totient is φ = 5681619947520.

The previous prime is 12322344130277. The next prime is 12322344130319. The reversal of 12322344130304 is 40303144322321.

It is a super-2 number, since 2×123223441303042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 1543709 + ... + 5198819.

Almost surely, 212322344130304 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 12322344130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13257376322736).

12322344130304 is an abundant number, since it is smaller than the sum of its proper divisors (14192408515168).

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

12322344130304 is a wasteful number, since it uses less digits than its factorization.

12322344130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656153 (or 3656139 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 12322344130304 its reverse (40303144322321), we get a palindrome (52625488452625).

The spelling of 12322344130304 in words is "twelve trillion, three hundred twenty-two billion, three hundred forty-four million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1013 1664 2026 3328 4052 8104 13169 16208 26338 32416 52676 64832 105352 129664 210704 259328 421408 842816 1685632 3371264 3655111 7310222 14620444 29240888 47516443 58481776 95032886 116963552 190065772 233927104 380131544 467854208 760263088 935708416 1520526176 3041052352 3702627443 6082104704 7405254886 12164209408 14810509772 29621019544 48134156759 59242039088 96268313518 118484078176 192536627036 236968156352 385073254072 473936312704 770146508144 947872625408 1540293016288 3080586032576 6161172065152 12322344130304