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11322275328 = 293271323167
BaseRepresentation
bin10101000101101110…
…00011011000000000
31002020001212011212200
422202313003120000
5141142000302303
65111255353200
7550401516030
oct124267033000
932201764780
1011322275328
114890147041
12223b982800
1310b5924400
14795a018c0
15463eed3a3
hex2a2dc3600

11322275328 has 720 divisors, whose sum is σ = 42366145536. Its totient is φ = 2846638080.

The previous prime is 11322275303. The next prime is 11322275411. The reversal of 11322275328 is 82357222311.

11322275328 is a `hidden beast` number, since 1 + 1 + 322 + 2 + 7 + 5 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11322275292 and 11322275301.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 168989151 + ... + 168989217.

Almost surely, 211322275328 is an apocalyptic number.

11322275328 is a gapful number since it is divisible by the number (18) 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 11322275328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21183072768).

11322275328 is an abundant number, since it is smaller than the sum of its proper divisors (31043870208).

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

11322275328 is a wasteful number, since it uses less digits than its factorization.

11322275328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 123 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

Adding to 11322275328 its reverse (82357222311), we get a palindrome (93679497639).

The spelling of 11322275328 in words is "eleven billion, three hundred twenty-two million, two hundred seventy-five thousand, three hundred twenty-eight".