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2120022202221 = 337311105119801
BaseRepresentation
bin11110110110011011001…
…010111001011101101101
321111200010222210110012000
4132312123022321131231
5234213301140432341
64301531425202513
7306111061251000
oct36663312713555
97450128713160
102120022202221
1174810729a850
122a2a5b190439
13124bc0223341
1474876b35537
153a22edbb8b6
hex1ed9b2b976d

2120022202221 has 128 divisors (see below), whose sum is σ = 3999687168000. Its totient is φ = 1100206800000.

The previous prime is 2120022202187. The next prime is 2120022202261. The reversal of 2120022202221 is 1222022200212.

2120022202221 is a `hidden beast` number, since 21 + 200 + 2 + 220 + 2 + 221 = 666.

It is not a de Polignac number, because 2120022202221 - 29 = 2120022201709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2120022202194 and 2120022202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120022202261) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 107056521 + ... + 107076321.

It is an arithmetic number, because the mean of its divisors is an integer number (31247556000).

Almost surely, 22120022202221 is an apocalyptic number.

2120022202221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2120022202221 is a deficient number, since it is larger than the sum of its proper divisors (1879664965779).

2120022202221 is a wasteful number, since it uses less digits than its factorization.

2120022202221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20893 (or 20873 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2120022202221 its reverse (1222022200212), we get a palindrome (3342044402433).

The spelling of 2120022202221 in words is "two trillion, one hundred twenty billion, twenty-two million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 99 147 189 231 297 343 441 539 693 1029 1051 1323 1617 2079 3087 3153 3773 4851 7357 9261 9459 11319 11561 14553 19801 22071 28377 33957 34683 51499 59403 66213 80927 101871 104049 138607 154497 178209 198639 217811 242781 312147 360493 415821 463491 534627 566489 653433 728343 970249 1081479 1247463 1390473 1524677 1699467 1960299 2185029 2910747 3244437 3742389 3965423 4574031 5098401 5880897 6791743 8732241 9733311 10672739 11896269 13722093 15295203 20375229 20810851 26196723 32018217 35688807 41166279 61125687 62432553 74709173 96054651 107066421 145675957 183377061 187297659 224127519 228919361 288163953 437027871 561892977 672382557 686758083 1019731699 1311083613 1602435527 2017147671 2060274249 3059195097 3933250839 4807306581 6180822747 7138121893 9177585291 11217048689 14421919743 21414365679 27532755873 33651146067 43265759229 64243097037 78519340823 100953438201 192729291111 235558022469 302860314603 706674067407 2120022202221