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2211021110012 = 22111325917329131
BaseRepresentation
bin100000001011001011001…
…000001011101011111100
321211101000212021221012012
4200023023020023223330
5242211132401010022
64411421251430352
7315512110226111
oct40131310135374
97741025257165
102211021110012
11782763859070
122b86165b53b8
13130662c8c600
147902a578908
153c7a8cb0de2
hex202cb20bafc

2211021110012 has 144 divisors (see below), whose sum is σ = 4675210565760. Its totient is φ = 906674745600.

The previous prime is 2211021110009. The next prime is 2211021110029. The reversal of 2211021110012 is 2100111201122.

It is a super-2 number, since 2×22110211100122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 75884687 + ... + 75913817.

It is an arithmetic number, because the mean of its divisors is an integer number (32466740040).

Almost surely, 22211021110012 is an apocalyptic number.

2211021110012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2211021110012 is an abundant number, since it is smaller than the sum of its proper divisors (2464189455748).

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

2211021110012 is a wasteful number, since it uses less digits than its factorization.

2211021110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29404 (or 29389 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2211021110012 its reverse (2100111201122), we get a palindrome (4311132311134).

The spelling of 2211021110012 in words is "two trillion, two hundred eleven billion, twenty-one million, one hundred ten thousand, twelve".

Divisors: 1 2 4 11 13 22 26 44 52 59 118 143 169 173 236 286 338 346 572 649 676 692 767 1298 1534 1859 1903 2249 2596 3068 3718 3806 4498 7436 7612 8437 8996 9971 10207 16874 19942 20414 24739 29131 29237 33748 39884 40828 49478 58262 58474 98956 109681 112277 116524 116948 132691 219362 224554 265382 320441 321607 378703 438724 449108 530764 640882 643214 757406 1281764 1286428 1459601 1514812 1718729 1724983 2919202 3437458 3449966 4165733 4923139 5039663 5838404 6874916 6899932 8331466 9846278 10079326 16662932 18906019 18974813 19692556 20158652 22343477 37812038 37949626 44686954 54154529 55436293 65515619 75624076 75899252 89373908 108309058 110872586 131031238 216618116 221745172 245778247 262062476 290465201 297340117 491556494 580930402 594680234 720671809 851703047 983112988 1161860804 1189360468 1441343618 1703406094 2882687236 3195117211 3270741287 3406812188 3865421521 6390234422 6541482574 7730843042 9368733517 12780468844 13082965148 15461686084 18737467034 37474934068 42519636731 50250479773 85039273462 100500959546 170078546924 201001919092 552755277503 1105510555006 2211021110012