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20022100122123 = 32111761269725009
BaseRepresentation
bin1001000110101110000100…
…01010100101101000001011
32121220002112120202000212100
410203113002022211220023
510111020230112401443
6110330005324244443
74134356206661541
oct443270212455013
977802476660770
1020022100122123
11641a3635a8980
1222b45009a0723
13b230caabcc88
144d3109421d91
1524ac4a1903d3
hex1235c22a5a0b

20022100122123 has 96 divisors (see below), whose sum is σ = 34079762059200. Its totient is φ = 11191803494400.

The previous prime is 20022100122109. The next prime is 20022100122203. The reversal of 20022100122123 is 32122100122002.

20022100122123 is a `hidden beast` number, since 200 + 221 + 0 + 0 + 1 + 221 + 23 = 666.

It is not a de Polignac number, because 20022100122123 - 24 = 20022100122107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20022100122096 and 20022100122105.

It is not an unprimeable number, because it can be changed into a prime (20022100126123) 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, 27253843 + ... + 27978851.

It is an arithmetic number, because the mean of its divisors is an integer number (354997521450).

Almost surely, 220022100122123 is an apocalyptic number.

20022100122123 is a deficient number, since it is larger than the sum of its proper divisors (14057661937077).

20022100122123 is a wasteful number, since it uses less digits than its factorization.

20022100122123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725373 (or 725370 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20022100122123 its reverse (32122100122002), we get a palindrome (52144200244125).

The spelling of 20022100122123 in words is "twenty trillion, twenty-two billion, one hundred million, one hundred twenty-two thousand, one hundred twenty-three".

Divisors: 1 3 9 11 17 33 51 61 99 153 183 187 269 549 561 671 807 1037 1683 2013 2421 2959 3111 4573 6039 8877 9333 11407 13719 16409 26631 34221 41157 49227 50303 102663 147681 150909 180499 278953 452727 541497 725009 836859 1624491 2175027 2510577 3068483 6525081 7975099 9205449 12325153 23925297 27616347 36975459 44225549 71775891 110926377 132676647 135576683 195027421 398029941 406730049 486481039 585082263 751834333 1220190147 1459443117 1755246789 2145301631 2255502999 3315466157 4378329351 6435904893 6766508997 8270177663 9946398471 11896672681 19307714679 24810532989 29839195413 35690018043 36470127727 74431598967 107070054129 109410383181 130863399491 202243435577 328231149543 392590198473 606730306731 1177770595419 1820190920193 2224677791347 6674033374041 20022100122123