Search a number
-
+
1210403390112 = 253277110779031
BaseRepresentation
bin10001100111010001101…
…010100000001010100000
311021201021002112002022100
4101213101222200022200
5124312401231440422
62324015053210400
7153306632026320
oct21472152401240
94251232462270
101210403390112
11427369182064
12176701790a00
138a1a9a32847
1442826095280
15217431cb7ac
hex119d1aa02a0

1210403390112 has 288 divisors, whose sum is σ = 4026550155264. Its totient is φ = 337767897600.

The previous prime is 1210403390101. The next prime is 1210403390137. The reversal of 1210403390112 is 2110933040121.

1210403390112 is a `hidden beast` number, since 1 + 210 + 4 + 0 + 339 + 0 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15276037 + ... + 15355067.

It is an arithmetic number, because the mean of its divisors is an integer number (13981076928).

Almost surely, 21210403390112 is an apocalyptic number.

1210403390112 is a gapful number since it is divisible by the number (12) 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 1210403390112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013275077632).

1210403390112 is an abundant number, since it is smaller than the sum of its proper divisors (2816146765152).

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

1210403390112 is a wasteful number, since it uses less digits than its factorization.

1210403390112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79232 (or 79221 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 1210403390112 in words is "one trillion, two hundred ten billion, four hundred three million, three hundred ninety thousand, one hundred twelve".