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10311210000 = 2432547131259
BaseRepresentation
bin10011001101001100…
…01001010000010000
3222121121100201222200
421212212021100100
5132104132210000
64423101003200
7513343560510
oct114646112020
928547321880
1010311210000
114411455763
121bb9253500
13c843117c0
146db613840
15405383500
hex266989410

10311210000 has 600 divisors, whose sum is σ = 44416532160. Its totient is φ = 2173824000.

The previous prime is 10311209977. The next prime is 10311210001. The reversal of 10311210000 is 1211301.

It is a tau number, because it is divible by the number of its divisors (600).

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

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

It is not an unprimeable number, because it can be changed into a prime (10311210001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8189371 + ... + 8190629.

Almost surely, 210311210000 is an apocalyptic number.

10311210000 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 10311210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22208266080).

10311210000 is an abundant number, since it is smaller than the sum of its proper divisors (34105322160).

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

10311210000 is a wasteful number, since it uses less digits than its factorization.

10311210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10311210000 its reverse (1211301), we get a palindrome (10312421301).

The spelling of 10311210000 in words is "ten billion, three hundred eleven million, two hundred ten thousand".