Search a number
-
+
23030120100000 = 253551323114653
BaseRepresentation
bin1010011110010000111100…
…01000001011000010100000
310000112122202200000101201010
411033020132020023002200
511004311141221200000
6120551520251540520
74564604562633426
oct517103610130240
9100478680011633
1023030120100000
11737a023447742
1226bb48475a740
13cb0967039300
14598941503116
1529e0eda28d50
hex14f21e20b0a0

23030120100000 has 864 divisors, whose sum is σ = 84467576729088. Its totient is φ = 5485708800000.

The previous prime is 23030120099929. The next prime is 23030120100011. The reversal of 23030120100000 is 102103032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1571692674 + ... + 1571707326.

It is an arithmetic number, because the mean of its divisors is an integer number (97763398992).

Almost surely, 223030120100000 is an apocalyptic number.

23030120100000 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 23030120100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42233788364544).

23030120100000 is an abundant number, since it is smaller than the sum of its proper divisors (61437456629088).

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

23030120100000 is a wasteful number, since it uses less digits than its factorization.

23030120100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14748 (or 14707 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 23030120100000 its reverse (102103032), we get a palindrome (23030222203032).

The spelling of 23030120100000 in words is "twenty-three trillion, thirty billion, one hundred twenty million, one hundred thousand".