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1242103200 = 253521341971
BaseRepresentation
bin100101000001000…
…1111110110100000
310012120020101021020
41022002033312200
510020434300300
6323130325440
742531463062
oct11202176640
93176211236
101242103200
11588153578
122a7b89880
1316a446410
14bad6d732
15740a58a0
hex4a08fda0

1242103200 has 288 divisors, whose sum is σ = 4464839232. Its totient is φ = 297984000.

The previous prime is 1242103171. The next prime is 1242103229. The reversal of 1242103200 is 23012421.

It is an interprime number because it is at equal distance from previous prime (1242103171) and next prime (1242103229).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1242103200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1278715 + ... + 1279685.

It is an arithmetic number, because the mean of its divisors is an integer number (15502914).

Almost surely, 21242103200 is an apocalyptic number.

1242103200 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 1242103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232419616).

1242103200 is an abundant number, since it is smaller than the sum of its proper divisors (3222736032).

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

1242103200 is a wasteful number, since it uses less digits than its factorization.

1242103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1242103200 is about 35243.4845042314. The cubic root of 1242103200 is about 1074.9441326654.

Adding to 1242103200 its reverse (23012421), we get a palindrome (1265115621).

The spelling of 1242103200 in words is "one billion, two hundred forty-two million, one hundred three thousand, two hundred".