Search a number
-
+
131026514148 = 223243552115331
BaseRepresentation
bin111101000000111001…
…0011111000011100100
3110112012110111120022100
41322001302133003210
54121320241423043
6140105344532100
712315646664655
oct1720162370344
9415173446270
10131026514148
1150628062432
1221488621030
13c48176615a
1464ad95952c
15361d030cd3
hex1e81c9f0e4

131026514148 has 72 divisors (see below), whose sum is σ = 338991869216. Its totient is φ = 42649286400.

The previous prime is 131026514147. The next prime is 131026514159. The reversal of 131026514148 is 841415620131.

131026514148 is a `hidden beast` number, since 1 + 310 + 265 + 1 + 41 + 48 = 666.

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 (131026514147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8538843 + ... + 8554173.

Almost surely, 2131026514148 is an apocalyptic number.

131026514148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131026514148 is an abundant number, since it is smaller than the sum of its proper divisors (207965355068).

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

131026514148 is a wasteful number, since it uses less digits than its factorization.

131026514148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20905 (or 20900 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 131026514148 in words is "one hundred thirty-one billion, twenty-six million, five hundred fourteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 5521 11042 15331 16563 22084 30662 33126 45993 49689 61324 66252 91986 99378 137979 183972 198756 237403 275958 474806 551916 659233 712209 949612 1318466 1424418 1977699 2136627 2636932 2848836 3955398 4273254 5933097 7910796 8546508 11866194 23732388 84642451 169284902 253927353 338569804 507854706 761782059 1015709412 1523564118 3047128236 3639625393 7279250786 10918876179 14558501572 21837752358 32756628537 43675504716 65513257074 131026514148