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20422400422401 = 32374367178311939
BaseRepresentation
bin1001010010010111101011…
…11011000011001000000001
32200022100210012101020101200
410221023311323003020001
510134100034002004101
6111233530553051413
74205320056252555
oct451136573031001
980270705336350
1020422400422401
11656410069a31a
122359bb86b6b69
13b51a93702993
14508641435865
15256378106986
hex1292f5ec3201

20422400422401 has 96 divisors (see below), whose sum is σ = 31483841326080. Its totient is φ = 12737560252032.

The previous prime is 20422400422313. The next prime is 20422400422423. The reversal of 20422400422401 is 10422400422402.

It is not a de Polignac number, because 20422400422401 - 29 = 20422400421889 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20422400422201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1710556090 + ... + 1710568028.

It is an arithmetic number, because the mean of its divisors is an integer number (327956680480).

Almost surely, 220422400422401 is an apocalyptic number.

It is an amenable number.

20422400422401 is a deficient number, since it is larger than the sum of its proper divisors (11061440903679).

20422400422401 is a wasteful number, since it uses less digits than its factorization.

20422400422401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13875 (or 13872 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 20422400422401 its reverse (10422400422402), we get a palindrome (30844800844803).

Subtracting from 20422400422401 its reverse (10422400422402), we obtain a palindrome (9999999999999).

The spelling of 20422400422401 in words is "twenty trillion, four hundred twenty-two billion, four hundred million, four hundred twenty-two thousand, four hundred one".

Divisors: 1 3 9 37 43 67 111 129 201 333 387 603 1591 1783 2479 2881 4773 5349 7437 8643 11939 14319 16047 22311 25929 35817 65971 76669 106597 107451 119461 197913 230007 319791 358383 441743 513377 593739 690021 799913 959373 1075149 1325229 1540131 2399739 2836753 3975687 4420057 4620393 5136823 7199217 8510259 13260171 15410469 18994949 21287237 25530777 29596781 34396259 39780513 46231407 56984847 63861711 88790343 103188777 170954541 190062451 191585133 266371029 309566331 570187353 787627769 915351191 1272661583 1426244879 1710562059 2362883307 2746053573 3817984749 4278734637 7088649921 8238160719 11453954247 12836203911 33867994067 52771060523 61328529797 101603982201 158313181569 183985589391 304811946603 474939544707 551956768173 2269155602489 6807466807467 20422400422401