Search a number
-
+
11312102466 = 2357219231087
BaseRepresentation
bin10101000100100000…
…01111110001000010
31002012100201100100000
422202100033301002
5141131344234331
65110253340430
7550216166400
oct124220176102
932170640300
1011312102466
114885429015
122238497716
1310b37a1c72
14794514470
1546318e0e6
hex2a240fc42

11312102466 has 288 divisors, whose sum is σ = 32506306560. Its totient is φ = 2926101024.

The previous prime is 11312102419. The next prime is 11312102479. The reversal of 11312102466 is 66420121311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10406175 + ... + 10407261.

It is an arithmetic number, because the mean of its divisors is an integer number (112869120).

Almost surely, 211312102466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11312102466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16253153280).

11312102466 is an abundant number, since it is smaller than the sum of its proper divisors (21194204094).

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

11312102466 is a wasteful number, since it uses less digits than its factorization.

11312102466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 11312102466 its reverse (66420121311), we get a palindrome (77732223777).

The spelling of 11312102466 in words is "eleven billion, three hundred twelve million, one hundred two thousand, four hundred sixty-six".