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109283136399 = 3219231271371597
BaseRepresentation
bin110010111000111001…
…0000101001110001111
3101110002010111112101100
41211301302011032033
53242302440331044
6122112020514143
710616065222053
oct1456162051617
9343063445340
10109283136399
114238a532958
121921a84b953
13a3c7b34b68
145409cd9c63
152c991e3869
hex1971c8538f

109283136399 has 96 divisors (see below), whose sum is σ = 176136929280. Its totient is φ = 64981357056.

The previous prime is 109283136373. The next prime is 109283136409. The reversal of 109283136399 is 993631382901.

It is a happy number.

It is a Cunningham number, because it is equal to 3305802-1.

It is not a de Polignac number, because 109283136399 - 217 = 109283005327 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109283186399) 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 95 ways as a sum of consecutive naturals, for example, 68429469 + ... + 68431065.

It is an arithmetic number, because the mean of its divisors is an integer number (1834759680).

Almost surely, 2109283136399 is an apocalyptic number.

109283136399 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

109283136399 is a deficient number, since it is larger than the sum of its proper divisors (66853792881).

109283136399 is a wasteful number, since it uses less digits than its factorization.

109283136399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 109283136399 in words is "one hundred nine billion, two hundred eighty-three million, one hundred thirty-six thousand, three hundred ninety-nine".

Divisors: 1 3 9 19 23 57 69 127 137 171 207 381 411 437 1143 1233 1311 1597 2413 2603 2921 3151 3933 4791 7239 7809 8763 9453 14373 17399 21717 23427 26289 28359 30343 36731 52197 55499 59869 91029 110193 156591 166497 179607 202819 218789 273087 330579 330581 400177 499491 538821 608457 656367 697889 991743 1200531 1825371 1969101 2093667 2975229 3601593 3853561 4156991 4664837 5032147 6281001 7603363 11560683 12470973 13994511 15096441 22810089 27786203 34682049 37412919 41983533 45289323 68430267 83358609 88631903 95610793 250075827 265895709 286832379 527937857 639082669 797687127 860497137 1583813571 1917248007 4751440713 5751744021 12142570711 36427712133 109283136399