Search a number
-
+
10430131320 = 2333571972613
BaseRepresentation
bin10011011011010111…
…10010110001111000
3222220220010120101000
421231223302301320
5132330103200240
64442545525000
7516316440060
oct115553626170
928826116330
1010430131320
1144725a0044
122031043760
13ca2b4b74b
1470d32c3a0
15410a24430
hex26daf2c78

10430131320 has 256 divisors, whose sum is σ = 41825664000. Its totient is φ = 2258523648.

The previous prime is 10430131307. The next prime is 10430131331. The reversal of 10430131320 is 2313103401.

10430131320 is a `hidden beast` number, since 10 + 4 + 301 + 31 + 320 = 666.

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 = 10430131293 and 10430131302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107334 + ... + 179946.

It is an arithmetic number, because the mean of its divisors is an integer number (163381500).

Almost surely, 210430131320 is an apocalyptic number.

10430131320 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 10430131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20912832000).

10430131320 is an abundant number, since it is smaller than the sum of its proper divisors (31395532680).

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

10430131320 is a wasteful number, since it uses less digits than its factorization.

10430131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72659 (or 72649 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10430131320 its reverse (2313103401), we get a palindrome (12743234721).

The spelling of 10430131320 in words is "ten billion, four hundred thirty million, one hundred thirty-one thousand, three hundred twenty".