Search a number
-
+
1031323020000 = 253547131741271
BaseRepresentation
bin11110000000111111010…
…01000110101011100000
310122121000200012201002220
433000133221012223200
5113344122143120000
62105441103311040
7134340101013030
oct17003751065340
93577020181086
101031323020000
11368421a5a489
12147a63bab480
137633a7987c0
1437cb84858c0
151bc615cb1a0
hexf01fa46ae0

1031323020000 has 1920 divisors, whose sum is σ = 4532734660608. Its totient is φ = 199065600000.

The previous prime is 1031323019999. The next prime is 1031323020001. The reversal of 1031323020000 is 203231301.

It is an interprime number because it is at equal distance from previous prime (1031323019999) and next prime (1031323020001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031323020001) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 3805619865 + ... + 3805620135.

Almost surely, 21031323020000 is an apocalyptic number.

1031323020000 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 1031323020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266367330304).

1031323020000 is an abundant number, since it is smaller than the sum of its proper divisors (3501411640608).

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

1031323020000 is a wasteful number, since it uses less digits than its factorization.

1031323020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1031323020000 its reverse (203231301), we get a palindrome (1031526251301).

The spelling of 1031323020000 in words is "one trillion, thirty-one billion, three hundred twenty-three million, twenty thousand".