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11002002000 = 2435311891873
BaseRepresentation
bin10100011111100010…
…10011101001010000
31001101202012121110120
422033301103221100
5140013003031000
65015415030240
7536432321403
oct121761235120
931352177416
1011002002000
114736385a40
12217066b380
131064478972
14765271d3a
15445d376a0
hex28fc53a50

11002002000 has 320 divisors, whose sum is σ = 39150708480. Its totient is φ = 2635776000.

The previous prime is 11002001957. The next prime is 11002002073. The reversal of 11002002000 is 20020011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11002002000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5873064 + ... + 5874936.

It is an arithmetic number, because the mean of its divisors is an integer number (122345964).

Almost surely, 211002002000 is an apocalyptic number.

11002002000 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 11002002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19575354240).

11002002000 is an abundant number, since it is smaller than the sum of its proper divisors (28148706480).

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

11002002000 is a wasteful number, since it uses less digits than its factorization.

11002002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 11002002000 its reverse (20020011), we get a palindrome (11022022011).

It can be divided in two parts, 1 and 1002002000, that added together give a palindrome (1002002001).

The spelling of 11002002000 in words is "eleven billion, two million, two thousand".