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12322332212130 = 2325229597881233
BaseRepresentation
bin1011001101010000010000…
…1110111111101110100010
31121122000002112000001101100
42303110010032333232202
53103342114021242010
642112445024015230
72411154610424133
oct263240416775642
947560075001340
1012322332212130
113a20965322666
121470198161516
136b4cb61390a5
14308592a5bc8a
151657eae812c0
hexb35043bfba2

12322332212130 has 48 divisors (see below), whose sum is σ = 32177968013880. Its totient is φ = 3271606101504.

The previous prime is 12322332212111. The next prime is 12322332212153. The reversal of 12322332212130 is 3121223322321.

12322332212130 is a `hidden beast` number, since 1 + 2 + 3 + 223 + 3 + 221 + 213 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8514904916961 + 3807427295169 = 2918031^2 + 1951263^2 .

It is a super-2 number, since 2×123223322121302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12322332212094 and 12322332212103.

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 23 ways as a sum of consecutive naturals, for example, 298920007 + ... + 298961226.

Almost surely, 212322332212130 is an apocalyptic number.

12322332212130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12322332212130 is an abundant number, since it is smaller than the sum of its proper divisors (19855635801750).

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

12322332212130 is a wasteful number, since it uses less digits than its factorization.

12322332212130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597881475 (or 597881472 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12322332212130 its reverse (3121223322321), we get a palindrome (15443555534451).

The spelling of 12322332212130 in words is "twelve trillion, three hundred twenty-two billion, three hundred thirty-two million, two hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 229 458 687 1145 1374 2061 2290 3435 4122 6870 10305 20610 597881233 1195762466 1793643699 2989406165 3587287398 5380931097 5978812330 8968218495 10761862194 17936436990 26904655485 53809310970 136914802357 273829604714 410744407071 684574011785 821488814142 1232233221213 1369148023570 2053722035355 2464466442426 4107444070710 6161166106065 12322332212130