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10140430300 = 2252711131759101
BaseRepresentation
bin10010111000110101…
…01010111111011100
3222011201000020021121
421130122222333130
5131231422232200
64354120340324
7506201143510
oct113432527734
928151006247
1010140430300
114334010410
121b700146a4
13c57b18620
146c2a7a140
153e539be1a
hex25c6aafdc

10140430300 has 576 divisors, whose sum is σ = 32127943680. Its totient is φ = 2672640000.

The previous prime is 10140430259. The next prime is 10140430301. The reversal of 10140430300 is 303404101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140430301) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100400250 + ... + 100400350.

It is an arithmetic number, because the mean of its divisors is an integer number (55777680).

Almost surely, 210140430300 is an apocalyptic number.

10140430300 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 10140430300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16063971840).

10140430300 is an abundant number, since it is smaller than the sum of its proper divisors (21987513380).

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

10140430300 is a wasteful number, since it uses less digits than its factorization.

10140430300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10140430300 its reverse (303404101), we get a palindrome (10443834401).

The spelling of 10140430300 in words is "ten billion, one hundred forty million, four hundred thirty thousand, three hundred".