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131141144236 = 22435379182099
BaseRepresentation
bin111101000100010011…
…1110000111010101100
3110112111110012101020011
41322020213300322230
54122034113103421
6140125001503004
712321541222324
oct1721047607254
9415443171204
10131141144236
1150686836743
12214baaa1a64
13c49c42cacb
1464c0c78284
1536281254e1
hex1e889f0eac

131141144236 has 48 divisors (see below), whose sum is σ = 242294976000. Its totient is φ = 62041516992.

The previous prime is 131141144231. The next prime is 131141144243. The reversal of 131141144236 is 632441141131.

It is a junction number, because it is equal to n+sod(n) for n = 131141144198 and 131141144207.

It is not an unprimeable number, because it can be changed into a prime (131141144231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629115 + ... + 811213.

It is an arithmetic number, because the mean of its divisors is an integer number (5047812000).

Almost surely, 2131141144236 is an apocalyptic number.

It is an amenable number.

131141144236 is a deficient number, since it is larger than the sum of its proper divisors (111153831764).

131141144236 is a wasteful number, since it uses less digits than its factorization.

131141144236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182278 (or 182276 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

Adding to 131141144236 its reverse (632441141131), we get a palindrome (763582285367).

The spelling of 131141144236 in words is "one hundred thirty-one billion, one hundred forty-one million, one hundred forty-four thousand, two hundred thirty-six".

Divisors: 1 2 4 43 53 79 86 106 158 172 212 316 2279 3397 4187 4558 6794 8374 9116 13588 16748 180041 182099 360082 364198 720164 728396 7830257 9651247 14385821 15660514 19302494 28771642 31321028 38604988 57543284 415003621 618590303 762448513 830007242 1237180606 1524897026 1660014484 2474361212 3049794052 32785286059 65570572118 131141144236