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2042241300 = 22325211238969
BaseRepresentation
bin111100110111010…
…0010000100010100
312021022211121101200
41321232202010110
513140303210200
6534352152500
7101415523161
oct17156420424
95238747350
102042241300
11958879130
1248bb38730
13267147108
14155333068
15be458800
hex79ba2114

2042241300 has 216 divisors, whose sum is σ = 7287658560. Its totient is φ = 473510400.

The previous prime is 2042241293. The next prime is 2042241319. The reversal of 2042241300 is 31422402.

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 71 ways as a sum of consecutive naturals, for example, 223216 + ... + 232184.

It is an arithmetic number, because the mean of its divisors is an integer number (33739160).

Almost surely, 22042241300 is an apocalyptic number.

2042241300 is a gapful number since it is divisible by the number (20) 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 2042241300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643829280).

2042241300 is an abundant number, since it is smaller than the sum of its proper divisors (5245417260).

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

2042241300 is a wasteful number, since it uses less digits than its factorization.

2042241300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9023 (or 9013 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2042241300 is about 45191.1639593405. The cubic root of 2042241300 is about 1268.7294421026.

Adding to 2042241300 its reverse (31422402), we get a palindrome (2073663702).

It can be divided in two parts, 2042 and 241300, that added together give a palindrome (243342).

The spelling of 2042241300 in words is "two billion, forty-two million, two hundred forty-one thousand, three hundred".