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10431711420 = 223513314379127
BaseRepresentation
bin10011011011100011…
…10100100010111100
3222221000002211212020
421231301310202330
5132331004231140
64443043440140
7516336040554
oct115561644274
928830084766
1010431711420
11447347a209
122031686050
13ca3282a10
1470d620164
15410c376d0
hex26dc748bc

10431711420 has 384 divisors, whose sum is σ = 33910947840. Its totient is φ = 2377589760.

The previous prime is 10431711413. The next prime is 10431711421. The reversal of 10431711420 is 2411713401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10431711421) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82139397 + ... + 82139523.

It is an arithmetic number, because the mean of its divisors is an integer number (88309760).

Almost surely, 210431711420 is an apocalyptic number.

10431711420 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 10431711420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16955473920).

10431711420 is an abundant number, since it is smaller than the sum of its proper divisors (23479236420).

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

10431711420 is a wasteful number, since it uses less digits than its factorization.

10431711420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 10431711420 in words is "ten billion, four hundred thirty-one million, seven hundred eleven thousand, four hundred twenty".