Search a number
-
+
10221200012121 = 3723711071127827
BaseRepresentation
bin1001010010111100111011…
…1111101111001101011001
31100012010201000002010201220
42110233032333233031121
52314431004200341441
633423315433002253
72103312602413650
oct224571677571531
940163630063656
1010221200012121
113290871a3909a
121190b2b253389
13591b1664c167
142749cca2a197
1512ad24672466
hex94bcefef359

10221200012121 has 64 divisors (see below), whose sum is σ = 16483380166656. Its totient is φ = 5507344180800.

The previous prime is 10221200012077. The next prime is 10221200012203. The reversal of 10221200012121 is 12121000212201.

It is not a de Polignac number, because 10221200012121 - 26 = 10221200012057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10221200012121.

It is not an unprimeable number, because it can be changed into a prime (10221200012021) 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, 367298410 + ... + 367326236.

It is an arithmetic number, because the mean of its divisors is an integer number (257552815104).

Almost surely, 210221200012121 is an apocalyptic number.

It is an amenable number.

10221200012121 is a deficient number, since it is larger than the sum of its proper divisors (6262180154535).

10221200012121 is a wasteful number, since it uses less digits than its factorization.

10221200012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38642.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10221200012121 its reverse (12121000212201), we get a palindrome (22342200224322).

The spelling of 10221200012121 in words is "ten trillion, two hundred twenty-one billion, two hundred million, twelve thousand, one hundred twenty-one".

Divisors: 1 3 7 21 23 69 71 161 213 483 497 1491 1633 4899 10711 11431 27827 32133 34293 74977 83481 194789 224931 246353 584367 640021 739059 760481 1724471 1920063 1975717 2281443 4480147 5173413 5323367 5927151 13440441 13830019 15970101 17491063 41490057 45441491 52473189 122437441 136324473 298054997 318090437 367312323 894164991 954271311 2086384979 6259154937 6855264931 20565794793 21161904787 47986854517 63485714361 143960563551 148133333509 444400000527 486723810101 1460171430303 3407066670707 10221200012121