Search a number
-
+
23301330132324 = 2231737891131272417
BaseRepresentation
bin1010100110001010000111…
…00000010101110101100100
310001111120210202112112101010
411103011003200111311210
511023232111003213244
6121320252220102220
74623315453111216
oct523050340256544
9101446722475333
1023301330132324
117474047439122
122743b54394970
1310003c939a78a
145a7b0cbbc5b6
152a61c392beb9
hex153143815d64

23301330132324 has 384 divisors, whose sum is σ = 60817387438080. Its totient is φ = 6912746717184.

The previous prime is 23301330132313. The next prime is 23301330132329. The reversal of 23301330132324 is 42323103310332.

It is a junction number, because it is equal to n+sod(n) for n = 23301330132291 and 23301330132300.

It is not an unprimeable number, because it can be changed into a prime (23301330132329) 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 127 ways as a sum of consecutive naturals, for example, 9640598764 + ... + 9640601180.

It is an arithmetic number, because the mean of its divisors is an integer number (158378613120).

Almost surely, 223301330132324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23301330132324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30408693719040).

23301330132324 is an abundant number, since it is smaller than the sum of its proper divisors (37516057305756).

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

23301330132324 is a wasteful number, since it uses less digits than its factorization.

23301330132324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 23301330132324 its reverse (42323103310332), we get a palindrome (65624433442656).

The spelling of 23301330132324 in words is "twenty-three trillion, three hundred one billion, three hundred thirty million, one hundred thirty-two thousand, three hundred twenty-four".