Search a number
-
+
131301134432 = 25131013125027
BaseRepresentation
bin111101001001000101…
…0000101000001100000
3110112220121020201111222
41322102022011001200
54122401042300212
6140152514554212
712325523141126
oct1722212050140
9415817221458
10131301134432
1150759081746
1221544598968
13c4c6618c70
1464d8203916
1536371c9c72
hex1e92285060

131301134432 has 48 divisors (see below), whose sum is σ = 281140018992. Its totient is φ = 60000499200.

The previous prime is 131301134411. The next prime is 131301134453. The reversal of 131301134432 is 234431103131.

It is an interprime number because it is at equal distance from previous prime (131301134411) and next prime (131301134453).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1520498 + ... + 1604529.

It is an arithmetic number, because the mean of its divisors is an integer number (5857083729).

Almost surely, 2131301134432 is an apocalyptic number.

It is an amenable number.

131301134432 is an abundant number, since it is smaller than the sum of its proper divisors (149838884560).

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

131301134432 is a wasteful number, since it uses less digits than its factorization.

131301134432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125151 (or 3125143 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 131301134432 its reverse (234431103131), we get a palindrome (365732237563).

The spelling of 131301134432 in words is "one hundred thirty-one billion, three hundred one million, one hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 101 104 202 208 404 416 808 1313 1616 2626 3232 5252 10504 21008 42016 3125027 6250054 12500108 25000216 40625351 50000432 81250702 100000864 162501404 315627727 325002808 631255454 650005616 1262510908 1300011232 2525021816 4103160451 5050043632 8206320902 10100087264 16412641804 32825283608 65650567216 131301134432