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1022000200221 = 3711133727133941
BaseRepresentation
bin11101101111100111111…
…01010111101000011101
310121200221221200101121110
432313303331113220131
5113221024022401341
62101300031052233
7133560055240320
oct16676375275035
93550857611543
101022000200221
11364478518a50
121460a1971079
13754b318a9b0
143767223a7b7
151b8b7dd4216
hexedf3f57a1d

1022000200221 has 128 divisors (see below), whose sum is σ = 1886032576512. Its totient is φ = 475051392000.

The previous prime is 1022000200219. The next prime is 1022000200259. The reversal of 1022000200221 is 1220020002201.

It is not a de Polignac number, because 1022000200221 - 21 = 1022000200219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022000200197 and 1022000200206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022000200201) 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, 30094111 + ... + 30128051.

It is an arithmetic number, because the mean of its divisors is an integer number (14734629504).

Almost surely, 21022000200221 is an apocalyptic number.

1022000200221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022000200221 is a deficient number, since it is larger than the sum of its proper divisors (864032376291).

1022000200221 is a wasteful number, since it uses less digits than its factorization.

1022000200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34283.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1022000200221 its reverse (1220020002201), we get a palindrome (2242020202422).

It can be divided in two parts, 1022000 and 200221, that added together give a palindrome (1222221).

The spelling of 1022000200221 in words is "one trillion, twenty-two billion, two hundred thousand, two hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 271 273 407 429 481 777 813 1001 1221 1443 1897 2849 2981 3003 3367 3523 5291 5691 8547 8943 10027 10101 10569 15873 20867 24661 30081 33941 37037 38753 62601 70189 73983 101823 110297 111111 116259 130351 210567 237587 271271 330891 373351 391053 441233 712761 772079 813813 912457 1120053 1255817 1323699 1433861 2316237 2613457 2737371 3088631 3767451 4301583 4853563 7840371 8790719 9198011 9265893 10037027 13813987 14560689 16325621 26372157 27594033 30111081 33974941 41441961 48976863 64386077 96697909 101178121 101924823 114279347 119574143 179581831 193158231 290093727 303534363 340326407 342838041 358722429 538745493 708246847 837019001 1020979221 1257072817 1315315573 2124740541 2382284849 2511057003 3743590477 3771218451 3945946719 4424243291 7146854547 9207209011 11230771431 13272729873 26205133339 27621627033 30969703037 48666676201 78615400017 92909109111 146000028603 340666733407 1022000200221