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131023033141 = 71113181723161
BaseRepresentation
bin111101000000110010…
…1001101001100110101
3110112012012221201021011
41322001211031030311
54121313344030031
6140105142152221
712315605256160
oct1720145151465
9415165851234
10131023033141
11506260a5070
1221487422671
13c480b178a0
1464ad2d0ad7
15361ca946b1
hex1e8194d335

131023033141 has 32 divisors (see below), whose sum is σ = 176891210496. Its totient is φ = 93721536000.

The previous prime is 131023033121. The next prime is 131023033151. The reversal of 131023033141 is 141330320131.

It is a cyclic number.

It is not a de Polignac number, because 131023033141 - 29 = 131023032629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131023033121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180400 + ... + 542761.

It is an arithmetic number, because the mean of its divisors is an integer number (5527850328).

Almost surely, 2131023033141 is an apocalyptic number.

131023033141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131023033141 is a deficient number, since it is larger than the sum of its proper divisors (45868177355).

131023033141 is a wasteful number, since it uses less digits than its factorization.

131023033141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723373.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 131023033141 its reverse (141330320131), we get a palindrome (272353353272).

The spelling of 131023033141 in words is "one hundred thirty-one billion, twenty-three million, thirty-three thousand, one hundred forty-one".

Divisors: 1 7 11 13 77 91 143 181 1001 1267 1991 2353 13937 16471 25883 181181 723161 5062127 7954771 9401093 55683397 65807651 103412023 130892141 723884161 916244987 1439813551 1701597833 10078694857 11911184831 18717576163 131023033141