Search a number
-
+
10100122000000 = 27568595879
BaseRepresentation
bin1001001011111001111000…
…1011110001101010000000
31022202120011212102211121121
42102332132023301222000
52310440022213000000
633251533151002024
72061465303324034
oct222763613615200
938676155384547
1010100122000000
11324448a61756a
12117157a509314
1358358c0122c6
1426cbc446a1c4
15127ad9c2ab1a
hex92f9e2f1a80

10100122000000 has 224 divisors, whose sum is σ = 25184912004000. Its totient is φ = 4034659200000.

The previous prime is 10100121999983. The next prime is 10100122000079. The reversal of 10100122000000 is 22100101.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1717997061 + ... + 1718002939.

It is an arithmetic number, because the mean of its divisors is an integer number (112432642875).

Almost surely, 210100122000000 is an apocalyptic number.

10100122000000 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 10100122000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12592456002000).

10100122000000 is an abundant number, since it is smaller than the sum of its proper divisors (15084790004000).

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

10100122000000 is an frugal number, since it uses more digits than its factorization.

10100122000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6782 (or 6745 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10100122000000 its reverse (22100101), we get a palindrome (10100144100101).

The spelling of 10100122000000 in words is "ten trillion, one hundred billion, one hundred twenty-two million", and thus it is an aban number.