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10809021132 = 22337213592663
BaseRepresentation
bin10100001000100010…
…01001001011001100
31000220022002011111000
422010101021023030
5134114102134012
64544322500300
7531600110100
oct120421111314
930808064430
1010809021132
114647457618
122117b04690
1310334ab4c0
14747799900
15433e17ddc
hex2844492cc

10809021132 has 288 divisors, whose sum is σ = 35714649600. Its totient is φ = 2801361024.

The previous prime is 10809021127. The next prime is 10809021137. The reversal of 10809021132 is 23112090801.

It is an interprime number because it is at equal distance from previous prime (10809021127) and next prime (10809021137).

It is a super-2 number, since 2×108090211322 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10809021096 and 10809021105.

It is not an unprimeable number, because it can be changed into a prime (10809021137) 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, 4057633 + ... + 4060295.

It is an arithmetic number, because the mean of its divisors is an integer number (124009200).

Almost surely, 210809021132 is an apocalyptic number.

10809021132 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 10809021132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17857324800).

10809021132 is an abundant number, since it is smaller than the sum of its proper divisors (24905628468).

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

10809021132 is a wasteful number, since it uses less digits than its factorization.

10809021132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 10809021132 in words is "ten billion, eight hundred nine million, twenty-one thousand, one hundred thirty-two".