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12103141344 = 253718010627
BaseRepresentation
bin10110100010110011…
…10100011111100000
31011020111012021200020
423101121310133200
5144241401010334
65320552153440
7605633001240
oct132131643740
934214167606
1012103141344
1151509a9258
122419398880
1311ab6380c8
1482b5c9b20
154ac845e49
hex2d16747e0

12103141344 has 48 divisors (see below), whose sum is σ = 36309426048. Its totient is φ = 3458040192.

The previous prime is 12103141343. The next prime is 12103141357. The reversal of 12103141344 is 44314130121.

12103141344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12103141343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9004642 + ... + 9005985.

It is an arithmetic number, because the mean of its divisors is an integer number (756446376).

Almost surely, 212103141344 is an apocalyptic number.

12103141344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12103141344 is an abundant number, since it is smaller than the sum of its proper divisors (24206284704).

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

12103141344 is a wasteful number, since it uses less digits than its factorization.

12103141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18010647 (or 18010639 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12103141344 its reverse (44314130121), we get a palindrome (56417271465).

The spelling of 12103141344 in words is "twelve billion, one hundred three million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 18010627 36021254 54031881 72042508 108063762 126074389 144085016 216127524 252148778 288170032 378223167 432255048 504297556 576340064 756446334 864510096 1008595112 1512892668 1729020192 2017190224 3025785336 4034380448 6051570672 12103141344