Search a number
-
+
3121000230000 = 24354192288181
BaseRepresentation
bin101101011010101010000…
…111000010110001110000
3102001100211212112211120010
4231122222013002301300
5402113302024330000
610345433454214520
7441325203145662
oct55325207026160
912040755484503
103121000230000
11aa36772a1464
12424a547b4440
13198403005033
14ab0b300a532
15562b7423d50
hex2d6aa1c2c70

3121000230000 has 300 divisors, whose sum is σ = 10633213788648. Its totient is φ = 788460480000.

The previous prime is 3121000229951. The next prime is 3121000230031. The reversal of 3121000230000 is 320001213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10685910 + ... + 10974090.

Almost surely, 23121000230000 is an apocalyptic number.

3121000230000 is a gapful number since it is divisible by the number (30) 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 3121000230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5316606894324).

3121000230000 is an abundant number, since it is smaller than the sum of its proper divisors (7512213558648).

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

3121000230000 is a wasteful number, since it uses less digits than its factorization.

3121000230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288250 (or 288210 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 3121000230000 its reverse (320001213), we get a palindrome (3121320231213).

The spelling of 3121000230000 in words is "three trillion, one hundred twenty-one billion, two hundred thirty thousand".