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1242135000 = 2334543067
BaseRepresentation
bin100101000001001…
…0111100111011000
310012120021222220000
41022002113213120
510020441310000
6323131133000
742531654561
oct11202274730
93176258800
101242135000
11588175457
122a7ba4160
1316a457a32
14bad7b168
15740b0000
hex4a0979d8

1242135000 has 200 divisors, whose sum is σ = 4348936020. Its totient is φ = 331128000.

The previous prime is 1242134969. The next prime is 1242135007. The reversal of 1242135000 is 5312421.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-4 number, since 4×12421350004 (a number of 37 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242135007) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 403467 + ... + 406533.

Almost surely, 21242135000 is an apocalyptic number.

1242135000 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 1242135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174468010).

1242135000 is an abundant number, since it is smaller than the sum of its proper divisors (3106801020).

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

1242135000 is an equidigital number, since it uses as much as digits as its factorization.

1242135000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1242135000 is about 35243.9356485623. The cubic root of 1242135000 is about 1074.9533060663.

Adding to 1242135000 its reverse (5312421), we get a palindrome (1247447421).

The spelling of 1242135000 in words is "one billion, two hundred forty-two million, one hundred thirty-five thousand".