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12104023114100 = 2252709170719649
BaseRepresentation
bin1011000000100010111111…
…1111111000000101110100
31120212010121011220211002002
42300020233333320011310
53041303014404122400
641424302250234432
72356325655623441
oct260105777700564
946763534824062
1012104023114100
113947318551095
121435a10a25a18
1369a5348546c8
142dbba308c9c8
1515ecc0448ed5
hexb022fff8174

12104023114100 has 36 divisors (see below), whose sum is σ = 26302776475500. Its totient is φ = 4834780431360.

The previous prime is 12104023114091. The next prime is 12104023114181. The reversal of 12104023114100 is 141132040121.

It can be written as a sum of positive squares in 6 ways, for example, as 30191147536 + 12073831966564 = 173756^2 + 3474742^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 85288925 + ... + 85430724.

It is an arithmetic number, because the mean of its divisors is an integer number (730632679875).

Almost surely, 212104023114100 is an apocalyptic number.

12104023114100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12104023114100 is an abundant number, since it is smaller than the sum of its proper divisors (14198753361400).

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

12104023114100 is a wasteful number, since it uses less digits than its factorization.

12104023114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170720372 (or 170720365 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 12104023114100 its reverse (141132040121), we get a palindrome (12245155154221).

The spelling of 12104023114100 in words is "twelve trillion, one hundred four billion, twenty-three million, one hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 709 1418 2836 3545 7090 14180 17725 35450 70900 170719649 341439298 682878596 853598245 1707196490 3414392980 4267991225 8535982450 17071964900 121040231141 242080462282 484160924564 605201155705 1210402311410 2420804622820 3026005778525 6052011557050 12104023114100