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203110011000 = 23345313192887
BaseRepresentation
bin1011110100101001001…
…1001101000001111000
3201102021002022121120000
42331022103031001320
511311432130323000
6233150224233000
720450153415321
oct2751223150170
9642232277500
10203110011000
1179158340526
123344516b760
13161cb740a80
149b8b163448
15543b4e9000
hex2f4a4cd078

203110011000 has 320 divisors, whose sum is σ = 764600316480. Its totient is φ = 49996051200.

The previous prime is 203110010933. The next prime is 203110011011. The reversal of 203110011000 is 110011302.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 956557 + ... + 1149443.

It is an arithmetic number, because the mean of its divisors is an integer number (2389375989).

Almost surely, 2203110011000 is an apocalyptic number.

203110011000 is a gapful number since it is divisible by the number (20) 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 203110011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382300158240).

203110011000 is an abundant number, since it is smaller than the sum of its proper divisors (561490305480).

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

203110011000 is a wasteful number, since it uses less digits than its factorization.

203110011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192933 (or 192910 counting only the distinct ones).

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

Adding to 203110011000 its reverse (110011302), we get a palindrome (203220022302).

The spelling of 203110011000 in words is "two hundred three billion, one hundred ten million, eleven thousand".