Search a number
-
+
23030401333104 = 243611308958109
BaseRepresentation
bin1010011110010001011101…
…11000111111011101110000
310000112200111021012112000000
411033020232320333131300
511004312230220124404
6120552004215430000
74564614546241134
oct517105670773560
9100480437175000
1023030401333104
11737a1581732a0
1226bb542985300
13cb09b0396029
1459896a9cd3c4
1529e11857c339
hex14f22ee3f770

23030401333104 has 280 divisors, whose sum is σ = 73008337100400. Its totient is φ = 6976530155520.

The previous prime is 23030401333067. The next prime is 23030401333109. The reversal of 23030401333104 is 40133310403032.

23030401333104 is a `hidden beast` number, since 2 + 30 + 304 + 0 + 13 + 3 + 310 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23030401333109) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 396302002 + ... + 396360110.

Almost surely, 223030401333104 is an apocalyptic number.

23030401333104 is a gapful number since it is divisible by the number (24) 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 23030401333104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36504168550200).

23030401333104 is an abundant number, since it is smaller than the sum of its proper divisors (49977935767296).

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

23030401333104 is a wasteful number, since it uses less digits than its factorization.

23030401333104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61235 (or 61214 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 23030401333104 its reverse (40133310403032), we get a palindrome (63163711736136).

The spelling of 23030401333104 in words is "twenty-three trillion, thirty billion, four hundred one million, three hundred thirty-three thousand, one hundred four".