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131101000435 = 51713919357493
BaseRepresentation
bin111101000011000111…
…0101000001011110011
3110112101122122212021201
41322012032220023303
54121443324003220
6140121005232031
712320543055106
oct1720616501363
9415348585251
10131101000435
1150666108049
12214a9562617
13c494015992
1464b97c873d
153624845d0a
hex1e863a82f3

131101000435 has 32 divisors (see below), whose sum is σ = 168646000320. Its totient is φ = 97491714048.

The previous prime is 131101000427. The next prime is 131101000439. The reversal of 131101000435 is 534000101131.

It is a cyclic number.

It is not a de Polignac number, because 131101000435 - 23 = 131101000427 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131101000439) 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 31 ways as a sum of consecutive naturals, for example, 2251549 + ... + 2309041.

It is an arithmetic number, because the mean of its divisors is an integer number (5270187510).

Almost surely, 2131101000435 is an apocalyptic number.

131101000435 is a deficient number, since it is larger than the sum of its proper divisors (37544999885).

131101000435 is a wasteful number, since it uses less digits than its factorization.

131101000435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57847.

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 131101000435 its reverse (534000101131), we get a palindrome (665101101566).

The spelling of 131101000435 in words is "one hundred thirty-one billion, one hundred one million, four hundred thirty-five", and thus it is an aban number.

Divisors: 1 5 17 85 139 193 695 965 2363 3281 11815 16405 26827 57493 134135 287465 456059 977381 2280295 4886905 7991527 11096149 39957635 55480745 135855959 188634533 679279795 943172665 1542364711 7711823555 26220200087 131101000435