Search a number
-
+
131621540652 = 223471922313697
BaseRepresentation
bin111101010010101000…
…0010101001100101100
3110120201221011001020000
41322211100111030230
54124030103300102
6140244402224300
712336463431060
oct1724520251454
9416657131200
10131621540652
1150902a23678
1221613955090
13c547b10044
1465289a9aa0
1536553ba01c
hex1ea541532c

131621540652 has 240 divisors, whose sum is σ = 415823063040. Its totient is φ = 35464531968.

The previous prime is 131621540651. The next prime is 131621540653. The reversal of 131621540652 is 256045126131.

131621540652 is a `hidden beast` number, since 1 + 3 + 1 + 62 + 1 + 540 + 6 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (131621540651) and next prime (131621540653).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (131621540651) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 9602668 + ... + 9616364.

It is an arithmetic number, because the mean of its divisors is an integer number (1732596096).

Almost surely, 2131621540652 is an apocalyptic number.

131621540652 is a gapful number since it is divisible by the number (12) 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 131621540652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207911531520).

131621540652 is an abundant number, since it is smaller than the sum of its proper divisors (284201522388).

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

131621540652 is a wasteful number, since it uses less digits than its factorization.

131621540652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13962 (or 13951 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 131621540652 its reverse (256045126131), we get a palindrome (387666666783).

The spelling of 131621540652 in words is "one hundred thirty-one billion, six hundred twenty-one million, five hundred forty thousand, six hundred fifty-two".