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12334054300 = 22521039291289
BaseRepresentation
bin10110111110010101…
…01011101110011100
31011211120200212200221
423133022223232130
5200230004214200
65355521331124
7614435505661
oct133712535634
934746625627
1012334054300
11525a285607
122482796aa4
131217426aa9
14850137a68
154c2c5991a
hex2df2abb9c

12334054300 has 72 divisors (see below), whose sum is σ = 27074829600. Its totient is φ = 4876677120.

The previous prime is 12334054279. The next prime is 12334054301. The reversal of 12334054300 is 345043321.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12334054301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9568056 + ... + 9569344.

It is an arithmetic number, because the mean of its divisors is an integer number (376039300).

Almost surely, 212334054300 is an apocalyptic number.

12334054300 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 12334054300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13537414800).

12334054300 is an abundant number, since it is smaller than the sum of its proper divisors (14740775300).

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

12334054300 is a wasteful number, since it uses less digits than its factorization.

12334054300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 12334054300 its reverse (345043321), we get a palindrome (12679097621).

The spelling of 12334054300 in words is "twelve billion, three hundred thirty-four million, fifty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 515 929 1030 1289 1858 2060 2575 2578 3716 4645 5150 5156 6445 9290 10300 12890 18580 23225 25780 32225 46450 64450 92900 95687 128900 132767 191374 265534 382748 478435 531068 663835 956870 1197481 1327670 1913740 2392175 2394962 2655340 3319175 4784350 4789924 5987405 6638350 9568700 11974810 13276700 23949620 29937025 59874050 119748100 123340543 246681086 493362172 616702715 1233405430 2466810860 3083513575 6167027150 12334054300