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12342252100 = 2252294255949
BaseRepresentation
bin10110111111010011…
…11101001001000100
31011212011010100222011
423133221331021010
5200234104031400
65400413144004
7614565261163
oct133751751104
934764110864
1012342252100
115263974752
12248548b004
131219037269
1485126d3da
154c38288ba
hex2dfa7d244

12342252100 has 36 divisors (see below), whose sum is σ = 27706234500. Its totient is φ = 4766661760.

The previous prime is 12342252079. The next prime is 12342252107. The reversal of 12342252100 is 125224321.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 309478464 + 12032773636 = 17592^2 + 109694^2 .

It is not an unprimeable number, because it can be changed into a prime (12342252107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2125075 + ... + 2130874.

It is an arithmetic number, because the mean of its divisors is an integer number (769617625).

Almost surely, 212342252100 is an apocalyptic number.

12342252100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12342252100 is an abundant number, since it is smaller than the sum of its proper divisors (15363982400).

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

12342252100 is a wasteful number, since it uses less digits than its factorization.

12342252100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4255992 (or 4255985 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 12342252100 its reverse (125224321), we get a palindrome (12467476421).

The spelling of 12342252100 in words is "twelve billion, three hundred forty-two million, two hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 4255949 8511898 17023796 21279745 42559490 85118980 106398725 123422521 212797450 246845042 425594900 493690084 617112605 1234225210 2468450420 3085563025 6171126050 12342252100