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131203004193 = 3241536708749
BaseRepresentation
bin111101000110001001…
…1101111011100100001
3110112122202121012010200
41322030103233130201
54122200432113233
6140135051415413
712323222064132
oct1721423573441
9415582535120
10131203004193
1150708747a78
1221517754569
13c4ac1ab531
1464c917bc89
15362d794313
hex1e8c4ef721

131203004193 has 24 divisors (see below), whose sum is σ = 197800785000. Its totient is φ = 83725175040.

The previous prime is 131203004173. The next prime is 131203004201. The reversal of 131203004193 is 391400302131.

131203004193 is a `hidden beast` number, since 1 + 312 + 0 + 300 + 41 + 9 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34511235984 + 96691768209 = 185772^2 + 310953^2 .

It is a de Polignac number, because none of the positive numbers 2k-131203004193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131203004173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3334818 + ... + 3373931.

It is an arithmetic number, because the mean of its divisors is an integer number (8241699375).

Almost surely, 2131203004193 is an apocalyptic number.

It is an amenable number.

131203004193 is a deficient number, since it is larger than the sum of its proper divisors (66597780807).

131203004193 is a wasteful number, since it uses less digits than its factorization.

131203004193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6708849 (or 6708846 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 131203004193 in words is "one hundred thirty-one billion, two hundred three million, four thousand, one hundred ninety-three".

Divisors: 1 3 9 41 53 123 159 369 477 2173 6519 19557 6708749 20126247 60378741 275058709 355563697 825176127 1066691091 2475528381 3200073273 14578111577 43734334731 131203004193