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21000220221006 = 232131943109846427
BaseRepresentation
bin1001100011001011111101…
…01010101001111001001110
32202100121020110021022120100
410301211332222221321032
510223031422334033011
6112355211252431530
74265134014434445
oct461457652517116
982317213238510
1021000220221006
116767163927264
122431b973185a6
13b9440a096760
145285b7a2bd5c
152663e5aecd56
hex13197eaa9e4e

21000220221006 has 96 divisors (see below), whose sum is σ = 52779011725440. Its totient is φ = 5979160660032.

The previous prime is 21000220220929. The next prime is 21000220221007. The reversal of 21000220221006 is 60012202200012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 21000220221006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21000220221007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54732036 + ... + 55114391.

It is an arithmetic number, because the mean of its divisors is an integer number (549781372140).

Almost surely, 221000220221006 is an apocalyptic number.

21000220221006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

21000220221006 is an abundant number, since it is smaller than the sum of its proper divisors (31778791504434).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21000220221006 is a wasteful number, since it uses less digits than its factorization.

21000220221006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109846510 (or 109846507 counting only the distinct ones).

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

Adding to 21000220221006 its reverse (60012202200012), we get a palindrome (81012422421018).

The spelling of 21000220221006 in words is "twenty-one trillion, two hundred twenty million, two hundred twenty-one thousand, six".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 43 57 78 86 114 117 129 171 234 247 258 342 387 494 559 741 774 817 1118 1482 1634 1677 2223 2451 3354 4446 4902 5031 7353 10062 10621 14706 21242 31863 63726 95589 191178 109846427 219692854 329539281 659078562 988617843 1428003551 1977235686 2087082113 2856007102 4174164226 4284010653 4723396361 6261246339 8568021306 9446792722 12522492678 12852031959 14170189083 18783739017 25704063918 27132067469 28340378166 37567478034 42510567249 54264134938 61404152693 81396202407 85021134498 89744530859 122808305386 162792404814 179489061718 184212458079 244188607221 269233592577 368424916158 488377214442 538467185154 552637374237 807700777731 1105274748474 1166678901167 1615401555462 2333357802334 3500036703501 7000073407002 10500110110503 21000220221006