Search a number
-
+
23130333132000 = 2535343250317909
BaseRepresentation
bin1010100001001011100110…
…10010100011010011100000
310000220020102200111212220220
411100211303102203103200
511012431410240211000
6121105532305003040
74605053134434453
oct520456322432340
9100806380455826
1023130333132000
117408579056946
122716991923480
13cba247a16993
1459d72a97949a
152a1a167e41a0
hex1509734a34e0

23130333132000 has 384 divisors, whose sum is σ = 77572488913920. Its totient is φ = 6021901670400.

The previous prime is 23130333131993. The next prime is 23130333132001. The reversal of 23130333132000 is 23133303132.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23130333132001) 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 63 ways as a sum of consecutive naturals, for example, 1291539046 + ... + 1291556954.

It is an arithmetic number, because the mean of its divisors is an integer number (202011689880).

Almost surely, 223130333132000 is an apocalyptic number.

23130333132000 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 23130333132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38786244456960).

23130333132000 is an abundant number, since it is smaller than the sum of its proper divisors (54442155781920).

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

23130333132000 is a wasteful number, since it uses less digits than its factorization.

23130333132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20483 (or 20465 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 23130333132000 its reverse (23133303132), we get a palindrome (23153466435132).

The spelling of 23130333132000 in words is "twenty-three trillion, one hundred thirty billion, three hundred thirty-three million, one hundred thirty-two thousand".