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11021210212122 = 23211175477359779
BaseRepresentation
bin1010000001100001001101…
…0100011101011100011010
31110000121200002102002111100
42200120103110131130122
52421032414303241442
635235024000012230
72215153602050415
oct240302324353432
943017602362440
1011021210212122
11356a08392a240
12129bb99001076
1361c3ac75a426
142a1602488b7c
15141a487cb84c
hexa061351d71a

11021210212122 has 96 divisors (see below), whose sum is σ = 27583459001280. Its totient is φ = 3143194191360.

The previous prime is 11021210212121. The next prime is 11021210212127. The reversal of 11021210212122 is 22121201212011.

11021210212122 is a `hidden beast` number, since 110 + 212 + 10 + 212 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11021210212095 and 11021210212104.

It is not an unprimeable number, because it can be changed into a prime (11021210212121) 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 47 ways as a sum of consecutive naturals, for example, 184336029 + ... + 184395807.

It is an arithmetic number, because the mean of its divisors is an integer number (287327697930).

Almost surely, 211021210212122 is an apocalyptic number.

11021210212122 is an abundant number, since it is smaller than the sum of its proper divisors (16562248789158).

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

11021210212122 is a wasteful number, since it uses less digits than its factorization.

11021210212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114588 (or 114585 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11021210212122 its reverse (22121201212011), we get a palindrome (33142411424133).

The spelling of 11021210212122 in words is "eleven trillion, twenty-one billion, two hundred ten million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 54773 59779 109546 119558 164319 179337 328638 358674 492957 538011 602503 657569 931141 985914 1016243 1076022 1205006 1315138 1807509 1862282 1972707 2032486 2793423 3048729 3615018 3945414 5422527 5586846 5918121 6097458 8380269 9146187 10242551 10845054 11178673 11836242 16760538 18292374 20485102 22357346 30727653 33536019 61455306 67072038 92182959 100608057 184365918 201216114 3274275167 6548550334 9822825501 19645651002 29468476503 36017026837 55662677839 58936953006 72034053674 108051080511 111325355678 166988033517 216102161022 324153241533 333976067034 500964100551 612289456229 648306483066 1001928201102 1224578912458 1836868368687 3673736737374 5510605106061 11021210212122