Search a number
-
+
1015021000000 = 26567373919
BaseRepresentation
bin11101100010100111111…
…01110101010101000000
310121000221120002021202101
432301103331311111000
5113112230334000000
62054143314400144
7133222111100650
oct16612375652500
93530846067671
101015021000000
11361516990587
12144874590054
1374940288217
14371ad376360
151b60a327e6a
hexec53f75540

1015021000000 has 392 divisors, whose sum is σ = 2955887164160. Its totient is φ = 338515200000.

The previous prime is 1015020999977. The next prime is 1015021000001. The reversal of 1015021000000 is 1205101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1015021000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 258998041 + ... + 259001959.

It is an arithmetic number, because the mean of its divisors is an integer number (7540528480).

Almost surely, 21015021000000 is an apocalyptic number.

1015021000000 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 1015021000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477943582080).

1015021000000 is an abundant number, since it is smaller than the sum of its proper divisors (1940866164160).

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

1015021000000 is an frugal number, since it uses more digits than its factorization.

1015021000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

Adding to 1015021000000 its reverse (1205101), we get a palindrome (1015022205101).

The spelling of 1015021000000 in words is "one trillion, fifteen billion, twenty-one million", and thus it is an aban number and an uban number.