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10243380420 = 22335721397307
BaseRepresentation
bin10011000101000110…
…11001010011000100
3222102212201122022000
421202203121103010
5131434301133140
64412235105300
7511561203600
oct114243312304
928385648260
1010243380420
114387137359
121b9a5a2230
13c73252b60
146d25d8500
153ee435a30
hex2628d94c4

10243380420 has 576 divisors, whose sum is σ = 40465877760. Its totient is φ = 2131992576.

The previous prime is 10243380419. The next prime is 10243380421. The reversal of 10243380420 is 2408334201.

10243380420 is a `hidden beast` number, since 1 + 0 + 243 + 380 + 42 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10243380419) and next prime (10243380421).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10243380421) 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, 33365907 + ... + 33366213.

It is an arithmetic number, because the mean of its divisors is an integer number (70253260).

Almost surely, 210243380420 is an apocalyptic number.

10243380420 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 10243380420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20232938880).

10243380420 is an abundant number, since it is smaller than the sum of its proper divisors (30222497340).

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

10243380420 is a wasteful number, since it uses less digits than its factorization.

10243380420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 10243380420 in words is "ten billion, two hundred forty-three million, three hundred eighty thousand, four hundred twenty".