Search a number
-
+
23131305244125 = 3253137338955697
BaseRepresentation
bin1010100001001101011010…
…01110110111010111011101
310000220022221102201022001200
411100212231032313113131
511012440403120303000
6121110212552430113
74605116210314551
oct520465516672735
9100808842638050
1023131305244125
117408a278620a1
1227170033a8339
13cba37123b360
1459d7bdb07861
152a1a71d17500
hex1509ad3b75dd

23131305244125 has 192 divisors, whose sum is σ = 45638557997760. Its totient is φ = 11202648883200.

The previous prime is 23131305244123. The next prime is 23131305244127. The reversal of 23131305244125 is 52144250313132.

23131305244125 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 1 + 3 + 0 + 524 + 4 + 125 = 666.

It is an interprime number because it is at equal distance from previous prime (23131305244123) and next prime (23131305244127).

It can be written as a sum of positive squares in 32 ways, for example, as 21510320478084 + 1620984766041 = 4637922^2 + 1273179^2 .

It is not a de Polignac number, because 23131305244125 - 21 = 23131305244123 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 23131305244125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23131305244121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 415278277 + ... + 415333973.

It is an arithmetic number, because the mean of its divisors is an integer number (237700822905).

Almost surely, 223131305244125 is an apocalyptic number.

23131305244125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23131305244125 is a deficient number, since it is larger than the sum of its proper divisors (22507252753635).

23131305244125 is a wasteful number, since it uses less digits than its factorization.

23131305244125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56193 (or 56180 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 23131305244125 its reverse (52144250313132), we get a palindrome (75275555557257).

The spelling of 23131305244125 in words is "twenty-three trillion, one hundred thirty-one billion, three hundred five million, two hundred forty-four thousand, one hundred twenty-five".