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103212213104 = 247211134611997
BaseRepresentation
bin110000000011111101…
…1010110001101110000
3100212102000222200020102
41200013323112031300
53142334311304404
6115225351531532
710312460223200
oct1400773261560
9325360880212
10103212213104
113a854670380
1218005689ba8
13996b166260
144dd1908400
152a4124b71e
hex1807ed6370

103212213104 has 240 divisors, whose sum is σ = 274020649056. Its totient is φ = 37020211200.

The previous prime is 103212213103. The next prime is 103212213151. The reversal of 103212213104 is 401312212301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103212213103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51682634 + ... + 51684630.

Almost surely, 2103212213104 is an apocalyptic number.

103212213104 is a gapful number since it is divisible by the number (14) 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 103212213104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137010324528).

103212213104 is an abundant number, since it is smaller than the sum of its proper divisors (170808435952).

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

103212213104 is a wasteful number, since it uses less digits than its factorization.

103212213104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 103212213104 its reverse (401312212301), we get a palindrome (504524425405).

The spelling of 103212213104 in words is "one hundred three billion, two hundred twelve million, two hundred thirteen thousand, one hundred four".