Search a number
-
+
23015101540000 = 25544183338159
BaseRepresentation
bin1010011101110100111101…
…11100111010011010100000
310000111012222222221111111011
411032322132330322122200
511004034411443240000
6120540554112030304
74563533446163263
oct516723674723240
9100435888844434
1023015101540000
1173737168a9289
1226b8592b32394
13cac4126c240b
14597d18a4acda
1529da2029a2ba
hex14ee9ef3a6a0

23015101540000 has 240 divisors, whose sum is σ = 58700580301440. Its totient is φ = 8873265920000.

The previous prime is 23015101539979. The next prime is 23015101540007. The reversal of 23015101540000 is 4510151032.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (23015101540007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67890921 + ... + 68229079.

It is an arithmetic number, because the mean of its divisors is an integer number (244585751256).

Almost surely, 223015101540000 is an apocalyptic number.

23015101540000 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 23015101540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29350290150720).

23015101540000 is an abundant number, since it is smaller than the sum of its proper divisors (35685478761440).

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

23015101540000 is an equidigital number, since it uses as much as digits as its factorization.

23015101540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338313 (or 338290 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 23015101540000 its reverse (4510151032), we get a palindrome (23019611691032).

The spelling of 23015101540000 in words is "twenty-three trillion, fifteen billion, one hundred one million, five hundred forty thousand".