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21001011121222 = 211217157233913901
BaseRepresentation
bin1001100011001101011011…
…10011101100110001000110
32202100200021120111012200221
410301212231303230301012
510223040032321334342
6112355421544254554
74265162430121126
oct461465563546106
982320246435627
1021001011121222
11676752a312300
12243217817145a
13b94504bb1752
14528650aa8c86
15266440278a67
hex1319adcecc46

21001011121222 has 96 divisors (see below), whose sum is σ = 36914384314080. Its totient is φ = 8922705792000.

The previous prime is 21001011121217. The next prime is 21001011121289. The reversal of 21001011121222 is 22212111010012.

It is a super-3 number, since 3×210010111212223 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 21001011121196 and 21001011121205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1510748472 + ... + 1510762372.

It is an arithmetic number, because the mean of its divisors is an integer number (384524836605).

Almost surely, 221001011121222 is an apocalyptic number.

21001011121222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21001011121222 is a deficient number, since it is larger than the sum of its proper divisors (15913373192858).

21001011121222 is a wasteful number, since it uses less digits than its factorization.

21001011121222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16438 (or 16427 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21001011121222 its reverse (22212111010012), we get a palindrome (43213122131234).

The spelling of 21001011121222 in words is "twenty-one trillion, one billion, eleven million, one hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 11 17 22 34 121 157 187 242 314 374 1727 2057 2339 2669 3454 4114 4678 5338 13901 18997 25729 27802 29359 37994 39763 51458 58718 79526 152911 236317 283019 305822 322949 367223 437393 472634 566038 645898 734446 874786 1682021 2182457 2599487 3364042 4039453 4364914 4811323 5198974 6242791 8078906 9622646 12485582 24007027 28594357 32514439 37101769 44433983 48014054 57188714 65028878 68670701 74203538 88867966 137341402 264077297 357658829 408119459 528154594 552745463 715317658 755377711 816238918 1105490926 1510755422 3934247119 4489314049 5104766923 6080200093 7868494238 8978628098 10209533846 12160400186 56152436153 66882201023 86781037691 112304872306 133764402046 173562075382 617676797683 954591414601 1235353595366 1909182829202 10500505560611 21001011121222