Search a number
-
+
2131256034 = 2321753131413
BaseRepresentation
bin111111100001000…
…0110001011100010
312111112100000122200
41333002012023202
513331100143114
6551252114030
7103546243305
oct17702061342
95445300580
102131256034
119a4047226
124b5905916
1327c71275b
141630a4b3c
15c718d409
hex7f0862e2

2131256034 has 48 divisors (see below), whose sum is σ = 4981641912. Its totient is φ = 656008704.

The previous prime is 2131256009. The next prime is 2131256069. The reversal of 2131256034 is 4306521312.

2131256034 is a `hidden beast` number, since 2 + 1 + 31 + 25 + 603 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2108187225 + 23068809 = 45915^2 + 4803^2 .

It is a super-2 number, since 2×21312560342 = 9084504564922818312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2131255989 and 2131256007.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49489 + ... + 81924.

Almost surely, 22131256034 is an apocalyptic number.

2131256034 is an abundant number, since it is smaller than the sum of its proper divisors (2850385878).

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

2131256034 is a wasteful number, since it uses less digits than its factorization.

2131256034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131491 (or 131488 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2131256034 is about 46165.5286333862. The cubic root of 2131256034 is about 1286.9012082691.

Adding to 2131256034 its reverse (4306521312), we get a palindrome (6437777346).

The spelling of 2131256034 in words is "two billion, one hundred thirty-one million, two hundred fifty-six thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 53 102 106 153 159 306 318 477 901 954 1802 2703 5406 8109 16218 131413 262826 394239 788478 1182717 2234021 2365434 4468042 6702063 6964889 13404126 13929778 20106189 20894667 40212378 41789334 62684001 118403113 125368002 236806226 355209339 710418678 1065628017 2131256034