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10330101000 = 23325317107631
BaseRepresentation
bin10011001111011100…
…01101010100001000
3222122220220111120100
421213232031110020
5132124001213000
64425013525400
7513663260352
oct114756152410
928586814510
1010330101000
11442108885a
122003643860
13c881c71cb
146ddd300d2
15406d65a00
hex267b8d508

10330101000 has 384 divisors, whose sum is σ = 37374255360. Its totient is φ = 2564352000.

The previous prime is 10330100987. The next prime is 10330101007. The reversal of 10330101000 is 10103301.

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

It is not an unprimeable number, because it can be changed into a prime (10330101007) 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, 16370685 + ... + 16371315.

It is an arithmetic number, because the mean of its divisors is an integer number (97328790).

Almost surely, 210330101000 is an apocalyptic number.

10330101000 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 10330101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18687127680).

10330101000 is an abundant number, since it is smaller than the sum of its proper divisors (27044154360).

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

10330101000 is a wasteful number, since it uses less digits than its factorization.

10330101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 765 counting only the distinct ones).

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

Adding to 10330101000 its reverse (10103301), we get a palindrome (10340204301).

The spelling of 10330101000 in words is "ten billion, three hundred thirty million, one hundred one thousand".