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10312203000 = 23353112111481
BaseRepresentation
bin10011001101010011…
…11011101011111000
3222121200020012010110
421212221323223320
5132104410444000
64423134144320
7513355164531
oct114651735370
928550205113
1010312203000
114411a73820
121bb96520a0
13c8459b788
146db7d1688
154054cc850
hex266a7baf8

10312203000 has 256 divisors, whose sum is σ = 35289146880. Its totient is φ = 2486400000.

The previous prime is 10312202983. The next prime is 10312203001. The reversal of 10312203000 is 30221301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312203001) 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, 6962260 + ... + 6963740.

It is an arithmetic number, because the mean of its divisors is an integer number (137848230).

Almost surely, 210312203000 is an apocalyptic number.

10312203000 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 10312203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17644573440).

10312203000 is an abundant number, since it is smaller than the sum of its proper divisors (24976943880).

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

10312203000 is a wasteful number, since it uses less digits than its factorization.

10312203000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10312203000 its reverse (30221301), we get a palindrome (10342424301).

It can be divided in two parts, 10312 and 203000, that added together give a palindrome (213312).

The spelling of 10312203000 in words is "ten billion, three hundred twelve million, two hundred three thousand".