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103214635456 = 265330428843
BaseRepresentation
bin110000000100000010…
…0100101100111000000
3100212102012112202002011
41200020010211213000
53142340421313311
6115225515502304
710312516632352
oct1401004454700
9325365482064
10103214635456
113a855a75319
1218006457994
13996b8039ba
144dd1d790d2
152a41579321
hex18081259c0

103214635456 has 28 divisors (see below), whose sum is σ = 208681012152. Its totient is φ = 50633593088.

The previous prime is 103214635451. The next prime is 103214635483. The reversal of 103214635456 is 654536412301.

103214635456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103214635451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15211030 + ... + 15217813.

Almost surely, 2103214635456 is an apocalyptic number.

103214635456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103214635456 is an abundant number, since it is smaller than the sum of its proper divisors (105466376696).

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

103214635456 is an equidigital number, since it uses as much as digits as its factorization.

103214635456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30428908 (or 30428898 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 103214635456 in words is "one hundred three billion, two hundred fourteen million, six hundred thirty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 3392 30428843 60857686 121715372 243430744 486861488 973722976 1612728679 1947445952 3225457358 6450914716 12901829432 25803658864 51607317728 103214635456