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10003300020 = 22325732937151
BaseRepresentation
bin10010101000011111…
…00011111010110100
3221211010222021220100
421110033203322310
5130441321100040
64332341234100
7502614435000
oct112417437264
927733867810
1010003300020
1142736693aa
121b32102930
13c355a454c
146ac781700
153d8310b30
hex2543e3eb4

10003300020 has 576 divisors, whose sum is σ = 37844352000. Its totient is φ = 2133734400.

The previous prime is 10003300019. The next prime is 10003300061. The reversal of 10003300020 is 2000330001.

It is a happy number.

It is a super-2 number, since 2×100033000202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10003299975 and 10003300011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66246945 + ... + 66247095.

It is an arithmetic number, because the mean of its divisors is an integer number (65702000).

Almost surely, 210003300020 is an apocalyptic number.

10003300020 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 10003300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18922176000).

10003300020 is an abundant number, since it is smaller than the sum of its proper divisors (27841051980).

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

10003300020 is a wasteful number, since it uses less digits than its factorization.

10003300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 10003300020 its reverse (2000330001), we get a palindrome (12003630021).

The spelling of 10003300020 in words is "ten billion, three million, three hundred thousand, twenty".