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11322023240 = 235112192353101
BaseRepresentation
bin10101000101101100…
…00101110101001000
31002020001101101002002
422202312011311020
5141141414220430
65111250130132
7550366416053
oct124266056510
932201341062
1011322023240
11488aa94700
12223b880948
1310b5866748
14795977a9a
15463e9d845
hex2a2d85d48

11322023240 has 384 divisors, whose sum is σ = 31646764800. Its totient is φ = 3624192000.

The previous prime is 11322023231. The next prime is 11322023243. The reversal of 11322023240 is 4232022311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11322023243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112099190 + ... + 112099290.

It is an arithmetic number, because the mean of its divisors is an integer number (82413450).

Almost surely, 211322023240 is an apocalyptic number.

11322023240 is a gapful number since it is divisible by the number (10) 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 11322023240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15823382400).

11322023240 is an abundant number, since it is smaller than the sum of its proper divisors (20324741560).

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

11322023240 is a wasteful number, since it uses less digits than its factorization.

11322023240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 11322023240 its reverse (4232022311), we get a palindrome (15554045551).

The spelling of 11322023240 in words is "eleven billion, three hundred twenty-two million, twenty-three thousand, two hundred forty".