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10131003000 = 2332535367317
BaseRepresentation
bin10010110111101101…
…01101011001111000
3222011001021021110100
421123312231121320
5131222014044000
64353142315400
7506025050616
oct113366553170
928131237410
1010131003000
114329761558
121b68a28b60
13c55b97641
146c17046b6
153e4638a00
hex25bdad678

10131003000 has 384 divisors, whose sum is σ = 35521312320. Its totient is φ = 2602828800.

The previous prime is 10131002983. The next prime is 10131003007. The reversal of 10131003000 is 30013101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131003007) 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, 31958842 + ... + 31959158.

Almost surely, 210131003000 is an apocalyptic number.

10131003000 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 10131003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17760656160).

10131003000 is an abundant number, since it is smaller than the sum of its proper divisors (25390309320).

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

10131003000 is a wasteful number, since it uses less digits than its factorization.

10131003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 447 counting only the distinct ones).

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

Adding to 10131003000 its reverse (30013101), we get a palindrome (10161016101).

The spelling of 10131003000 in words is "ten billion, one hundred thirty-one million, three thousand".