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10241421300 = 22345211137839
BaseRepresentation
bin10011000100110111…
…11010111111110100
3222102202001002220000
421202123322333310
5131433300440200
64412125111300
7511535434065
oct114233727764
928382032800
1010241421300
114386019450
121b999b8530
13c72a18206
146d224856c
153ee19a300
hex2626faff4

10241421300 has 360 divisors, whose sum is σ = 36524537280. Its totient is φ = 2461708800.

The previous prime is 10241421293. The next prime is 10241421319. The reversal of 10241421300 is 312414201.

10241421300 is a `hidden beast` number, since 1 + 0 + 241 + 421 + 3 + 0 + 0 = 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 119 ways as a sum of consecutive naturals, for example, 12206281 + ... + 12207119.

It is an arithmetic number, because the mean of its divisors is an integer number (101457048).

Almost surely, 210241421300 is an apocalyptic number.

10241421300 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 10241421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18262268640).

10241421300 is an abundant number, since it is smaller than the sum of its proper divisors (26283115980).

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

10241421300 is a wasteful number, since it uses less digits than its factorization.

10241421300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 997 counting only the distinct ones).

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

Adding to 10241421300 its reverse (312414201), we get a palindrome (10553835501).

The spelling of 10241421300 in words is "ten billion, two hundred forty-one million, four hundred twenty-one thousand, three hundred".