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131101032 = 23317930517
BaseRepresentation
bin1111101000001…
…11000101101000
3100010200121210210
413310013011220
5232030213112
621001541120
73151224516
oct764070550
9303617723
10131101032
1168004167
1237aa47a0
132121299a
14135a94b6
15b799b3c
hex7d07168

131101032 has 32 divisors (see below), whose sum is σ = 329594400. Its totient is φ = 43454784.

The previous prime is 131101021. The next prime is 131101037. The reversal of 131101032 is 230101131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 131100999 and 131101017.

It is not an unprimeable number, because it can be changed into a prime (131101037) by changing a digit.

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, 10963 + ... + 19554.

It is an arithmetic number, because the mean of its divisors is an integer number (10299825).

Almost surely, 2131101032 is an apocalyptic number.

131101032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131101032 is an abundant number, since it is smaller than the sum of its proper divisors (198493368).

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

131101032 is a wasteful number, since it uses less digits than its factorization.

131101032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30705 (or 30701 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 131101032 is about 11449.9358950171. The cubic root of 131101032 is about 508.0058382779.

Adding to 131101032 its reverse (230101131), we get a palindrome (361202163).

Subtracting 131101032 from its reverse (230101131), we obtain a palindrome (99000099).

The spelling of 131101032 in words is "one hundred thirty-one million, one hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 179 358 537 716 1074 1432 2148 4296 30517 61034 91551 122068 183102 244136 366204 732408 5462543 10925086 16387629 21850172 32775258 43700344 65550516 131101032