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11020002000 = 243537237483
BaseRepresentation
bin10100100001101011…
…11110001011010000
31001110000002002211020
422100311332023100
5140032110031000
65021300515440
7540041320500
oct122065761320
931400062736
1011020002000
11474555a677
1221766abb80
13106810b957
147677d9a00
154476e0ba0
hex290d7e2d0

11020002000 has 240 divisors, whose sum is σ = 41330158272. Its totient is φ = 2518790400.

The previous prime is 11020001959. The next prime is 11020002023. The reversal of 11020002000 is 20002011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 11020002000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275259 + ... + 312741.

Almost surely, 211020002000 is an apocalyptic number.

11020002000 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 11020002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20665079136).

11020002000 is an abundant number, since it is smaller than the sum of its proper divisors (30310156272).

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

11020002000 is a wasteful number, since it uses less digits than its factorization.

11020002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37523 (or 37500 counting only the distinct ones).

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

Adding to 11020002000 its reverse (20002011), we get a palindrome (11040004011).

The spelling of 11020002000 in words is "eleven billion, twenty million, two thousand".