Search a number
-
+
23231341302000 = 24353132195111743
BaseRepresentation
bin1010100100000111101111…
…10110001001000011110000
310001020220011010012120102020
411102003313312021003300
511021110241333131000
6121224155244351440
74615260202632216
oct522036766110360
9101226133176366
1023231341302000
1174473a1585a97
122732481245580
13cc6924364200
145a458d872cb6
152a44792c5ba0
hex1520f7d890f0

23231341302000 has 480 divisors, whose sum is σ = 81150879154176. Its totient is φ = 5715066240000.

The previous prime is 23231341301963. The next prime is 23231341302011. The reversal of 23231341302000 is 20314313232.

It is a super-3 number, since 3×232313413020003 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1978308129 + ... + 1978319871.

Almost surely, 223231341302000 is an apocalyptic number.

23231341302000 is a gapful number since it is divisible by the number (20) 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 23231341302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40575439577088).

23231341302000 is an abundant number, since it is smaller than the sum of its proper divisors (57919537852176).

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

23231341302000 is a wasteful number, since it uses less digits than its factorization.

23231341302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13746 (or 13717 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 23231341302000 its reverse (20314313232), we get a palindrome (23251655615232).

The spelling of 23231341302000 in words is "twenty-three trillion, two hundred thirty-one billion, three hundred forty-one million, three hundred two thousand".