Search a number
-
+
10421314200 = 2334521158481
BaseRepresentation
bin10011011010010100…
…01010001010011000
3222220021112121120000
421231022022022120
5132320324023300
64442032533000
7516151465143
oct115512121230
928807477500
1010421314200
114468618670
12202a0b1160
13ca108240b
1470c0b505a
1540ed81c00
hex26d28a298

10421314200 has 240 divisors, whose sum is σ = 39485876760. Its totient is φ = 2526336000.

The previous prime is 10421314159. The next prime is 10421314259. The reversal of 10421314200 is 241312401.

10421314200 is a `hidden beast` number, since 10 + 421 + 31 + 4 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 148960 + ... + 207440.

Almost surely, 210421314200 is an apocalyptic number.

10421314200 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 10421314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19742938380).

10421314200 is an abundant number, since it is smaller than the sum of its proper divisors (29064562560).

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

10421314200 is a wasteful number, since it uses less digits than its factorization.

10421314200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58520 (or 58502 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10421314200 its reverse (241312401), we get a palindrome (10662626601).

The spelling of 10421314200 in words is "ten billion, four hundred twenty-one million, three hundred fourteen thousand, two hundred".