Search a number
-
+
2132131003200 = 2632521141328303
BaseRepresentation
bin11111000001101100111…
…010010011101101000000
321112211101212122021102100
4133001230322103231000
5234413101014100300
64311253142550400
7310020123333522
oct37015472235500
97484355567370
102132131003200
11752260404190
122a527a438400
1312609ca90533
14752a4d95a12
153a6dce7e700
hex1f06ce93b40

2132131003200 has 504 divisors, whose sum is σ = 8468675220096. Its totient is φ = 504271872000.

The previous prime is 2132131003193. The next prime is 2132131003201. The reversal of 2132131003200 is 23001312312.

2132131003200 is a `hidden beast` number, since 2 + 1 + 32 + 1 + 310 + 0 + 320 + 0 = 666.

It is a super-2 number, since 2×21321310032002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132131003201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6330249 + ... + 6658551.

It is an arithmetic number, because the mean of its divisors is an integer number (16802927024).

Almost surely, 22132131003200 is an apocalyptic number.

2132131003200 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 2132131003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4234337610048).

2132131003200 is an abundant number, since it is smaller than the sum of its proper divisors (6336544216896).

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

2132131003200 is a wasteful number, since it uses less digits than its factorization.

2132131003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328383 (or 328365 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2132131003200 its reverse (23001312312), we get a palindrome (2155132315512).

The spelling of 2132131003200 in words is "two trillion, one hundred thirty-two billion, one hundred thirty-one million, three thousand, two hundred".