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10203133032 = 23331753103509
BaseRepresentation
bin10011000000010011…
…10111010001101000
3222100001222212021000
421200021313101220
5131344000224112
64404240315000
7510562125351
oct114011672150
928301885230
1010203133032
114366447954
121b89012a60
13c67b00831
146cb11cd28
153eab357dc
hex260277468

10203133032 has 256 divisors, whose sum is σ = 30932928000. Its totient is φ = 3103985664.

The previous prime is 10203132977. The next prime is 10203133037. The reversal of 10203133032 is 23033130201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10203132996 and 10203133014.

It is not an unprimeable number, because it can be changed into a prime (10203133037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20045194 + ... + 20045702.

It is an arithmetic number, because the mean of its divisors is an integer number (120831750).

Almost surely, 210203133032 is an apocalyptic number.

10203133032 is a gapful number since it is divisible by the number (12) 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 10203133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15466464000).

10203133032 is an abundant number, since it is smaller than the sum of its proper divisors (20729794968).

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

10203133032 is a wasteful number, since it uses less digits than its factorization.

10203133032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10203133032 its reverse (23033130201), we get a palindrome (33236263233).

The spelling of 10203133032 in words is "ten billion, two hundred three million, one hundred thirty-three thousand, thirty-two".