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130442202022041 = 33713264720056679
BaseRepresentation
bin11101101010001011110001…
…000111011000000010011001
3122002212011010100010111122000
4131222023301013120002121
5114044131112204201131
61141232153105551213
736322065236653560
oct3552136107300231
9562764110114560
10130442202022041
1138621255469398
12127686a5645509
1357a28542348b0
14242d617174bd7
15101317ae44ce6
hex76a2f11d8099

130442202022041 has 64 divisors (see below), whose sum is σ = 237933197107200. Its totient is φ = 68778681104448.

The previous prime is 130442202021997. The next prime is 130442202022109. The reversal of 130442202022041 is 140220202244031.

It is a happy number.

130442202022041 is a `hidden beast` number, since 1 + 30 + 4 + 4 + 220 + 202 + 204 + 1 = 666.

It is not a de Polignac number, because 130442202022041 - 218 = 130442201759897 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 = 130442202021996 and 130442202022014.

It is not an unprimeable number, because it can be changed into a prime (130442202022841) 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, 3524661 + ... + 16532018.

It is an arithmetic number, because the mean of its divisors is an integer number (3717706204800).

Almost surely, 2130442202022041 is an apocalyptic number.

It is an amenable number.

130442202022041 is a deficient number, since it is larger than the sum of its proper divisors (107490995085159).

130442202022041 is a wasteful number, since it uses less digits than its factorization.

130442202022041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20059355 (or 20059349 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 130442202022041 its reverse (140220202244031), we get a palindrome (270662404266072).

The spelling of 130442202022041 in words is "one hundred thirty trillion, four hundred forty-two billion, two hundred two million, twenty-two thousand, forty-one".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 2457 2647 7941 18529 23823 34411 55587 71469 103233 166761 240877 309699 500283 722631 929097 2167893 6503679 20056679 60170037 140396753 180510111 260736827 421190259 541530333 782210481 1263570777 1825157789 2346631443 3790712331 5475473367 7039894329 16426420101 49279260303 53090029313 159270087939 371630205191 477810263817 690170381069 1114890615573 1433430791451 2070511143207 3344671846719 4831192667483 6211533429621 10034015540157 14493578002449 18634600288863 43480734007347 130442202022041