Search a number
-
+
1001000223000 = 233253680316349
BaseRepresentation
bin11101001000100000100…
…00110100000100011000
310112200202102112000111100
432210100100310010120
5112400022024114000
62043504140431400
7132214501336041
oct16442020640430
93480672460440
101001000223000
11356581591278
12142000b48560
137351758337b
143663d2118c8
151b08948da00
hexe910434118

1001000223000 has 192 divisors, whose sum is σ = 3384085068000. Its totient is φ = 266877830400.

The previous prime is 1001000222993. The next prime is 1001000223017. The reversal of 1001000223000 is 3220001001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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, 61218826 + ... + 61235174.

Almost surely, 21001000223000 is an apocalyptic number.

1001000223000 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 1001000223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692042534000).

1001000223000 is an abundant number, since it is smaller than the sum of its proper divisors (2383084845000).

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

1001000223000 is a wasteful number, since it uses less digits than its factorization.

1001000223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23179 (or 23162 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 1001000223000 its reverse (3220001001), we get a palindrome (1004220224001).

The spelling of 1001000223000 in words is "one trillion, one billion, two hundred twenty-three thousand".