Search a number
-
+
131515145100 = 22335248709313
BaseRepresentation
bin111101001111011101…
…0011101101110001100
3110120110111221120222000
41322132322131232030
54123320334120400
6140230041552300
712334032201003
oct1723672355614
9416414846860
10131515145100
1150858964069
12215a41a5690
13c52ba6a4b1
1465187d1c3a
15364ada0600
hex1e9ee9db8c

131515145100 has 72 divisors (see below), whose sum is σ = 422796845520. Its totient is φ = 35070704640.

The previous prime is 131515145089. The next prime is 131515145173. The reversal of 131515145100 is 1541515131.

131515145100 is a `hidden beast` number, since 1 + 3 + 1 + 515 + 1 + 45 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24351957 + ... + 24357356.

It is an arithmetic number, because the mean of its divisors is an integer number (5872178410).

Almost surely, 2131515145100 is an apocalyptic number.

131515145100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131515145100 is an abundant number, since it is smaller than the sum of its proper divisors (291281700420).

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

131515145100 is a wasteful number, since it uses less digits than its factorization.

131515145100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48709336 (or 48709323 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

The spelling of 131515145100 in words is "one hundred thirty-one billion, five hundred fifteen million, one hundred forty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 48709313 97418626 146127939 194837252 243546565 292255878 438383817 487093130 584511756 730639695 876767634 974186260 1217732825 1315151451 1461279390 1753535268 2191919085 2435465650 2630302902 2922558780 3653198475 4383838170 4870931300 5260605804 6575757255 7306396950 8767676340 10959595425 13151514510 14612793900 21919190850 26303029020 32878786275 43838381700 65757572550 131515145100