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131442204033 = 3374789166259
BaseRepresentation
bin111101001101010010…
…0001101110110000001
3110120021102200210122000
41322122210031312001
54123143201012113
6140214514334213
712332155204560
oct1723244156601
9416242623560
10131442204033
1150820774398
122158388a369
13c51990c0ba
14650cc45bd7
153644793373
hex1e9a90dd81

131442204033 has 64 divisors (see below), whose sum is σ = 229837824000. Its totient is φ = 72685337472.

The previous prime is 131442204017. The next prime is 131442204071. The reversal of 131442204033 is 330402244131.

131442204033 is a `hidden beast` number, since 1 + 31 + 4 + 4 + 220 + 403 + 3 = 666.

It is not a de Polignac number, because 131442204033 - 24 = 131442204017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131442203988 and 131442204006.

It is not an unprimeable number, because it can be changed into a prime (131442204433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 707458 + ... + 873716.

It is an arithmetic number, because the mean of its divisors is an integer number (3591216000).

Almost surely, 2131442204033 is an apocalyptic number.

It is an amenable number.

131442204033 is a deficient number, since it is larger than the sum of its proper divisors (98395619967).

131442204033 is a wasteful number, since it uses less digits than its factorization.

131442204033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166411 (or 166405 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 131442204033 its reverse (330402244131), we get a palindrome (461844448164).

The spelling of 131442204033 in words is "one hundred thirty-one billion, four hundred forty-two million, two hundred four thousand, thirty-three".

Divisors: 1 3 7 9 21 27 47 63 89 141 189 267 329 423 623 801 987 1269 1869 2403 2961 4183 5607 8883 12549 16821 29281 37647 87843 112941 166259 263529 498777 790587 1163813 1496331 3491439 4488993 7814173 10474317 14797051 23442519 31422951 44391153 54699211 70327557 103579357 133173459 164097633 210982671 310738071 399520377 492292899 695461397 932214213 1476878697 2086384191 2796642639 4868229779 6259152573 14604689337 18777457719 43814068011 131442204033