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11022712272 = 243211131035197
BaseRepresentation
bin10100100010000000…
…10011110111010000
31001110012011210121200
422101000103313100
5140033303243042
65021434551200
7540103336245
oct122100236720
931405153550
1011022712272
114747040970
122177598500
13106884a470
14767d035cc
15447a78c4c
hex291013dd0

11022712272 has 240 divisors, whose sum is σ = 36600240768. Its totient is φ = 3052753920.

The previous prime is 11022712219. The next prime is 11022712319. The reversal of 11022712272 is 27221722011.

It is a super-3 number, since 3×110227122723 (a number of 31 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2118378 + ... + 2123574.

Almost surely, 211022712272 is an apocalyptic number.

11022712272 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 11022712272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18300120384).

11022712272 is an abundant number, since it is smaller than the sum of its proper divisors (25577528496).

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

11022712272 is a wasteful number, since it uses less digits than its factorization.

11022712272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338 (or 5329 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The spelling of 11022712272 in words is "eleven billion, twenty-two million, seven hundred twelve thousand, two hundred seventy-two".