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131204216144675 = 52236832053162731
BaseRepresentation
bin11101110101010001011100…
…101100100100001100100011
3122012120000000102010201221202
4131311101130230210030203
5114144122213313112200
61143014215041111415
736431122534066502
oct3565213454441443
9565500012121852
10131204216144675
1138895439588203
121287030a62856b
1358296734ac24b
142458464622839
151027dc94a21d5
hex77545cb24323

131204216144675 has 48 divisors (see below), whose sum is σ = 170099265593088. Its totient is φ = 100203301756800.

The previous prime is 131204216144641. The next prime is 131204216144699. The reversal of 131204216144675 is 576441612402131.

It is not a de Polignac number, because 131204216144675 - 214 = 131204216128291 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 806183060 + ... + 806345790.

It is an arithmetic number, because the mean of its divisors is an integer number (3543734699856).

Almost surely, 2131204216144675 is an apocalyptic number.

131204216144675 is a deficient number, since it is larger than the sum of its proper divisors (38895049448413).

131204216144675 is a wasteful number, since it uses less digits than its factorization.

131204216144675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165500 (or 165495 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 131204216144675 in words is "one hundred thirty-one trillion, two hundred four billion, two hundred sixteen million, one hundred forty-four thousand, six hundred seventy-five".

Divisors: 1 5 23 25 115 575 683 2053 3415 10265 15709 17075 47219 51325 78545 162731 236095 392725 813655 1180475 1402199 3742813 4068275 7010995 18714065 32250577 35054975 93570325 111145273 161252885 334086743 555726365 806264425 1670433715 2556341279 2778631825 7683995089 8352168575 12781706395 38419975445 63908531975 192099877225 228181245469 1140906227345 5248168645787 5704531136725 26240843228935 131204216144675