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211003111332112 = 24116725609698729
BaseRepresentation
bin101111111110011111111101…
…011111110101100100010000
31000200002200220121210210011111
4233332133331133311210100
5210124033333000111422
62024433254031423104
762305320541424221
oct5776377537654420
91020080817723144
10211003111332112
1161260a0a564110
121b7b9997084a94
13909767b177c48
143a168684a3248
15195da1d97ea77
hexbfe7fd7f5910

211003111332112 has 80 divisors (see below), whose sum is σ = 452658647188800. Its totient is φ = 94475180574720.

The previous prime is 211003111332067. The next prime is 211003111332127. The reversal of 211003111332112 is 211233111300112.

It is a super-2 number, since 2×2110031113321122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301631964 + ... + 302330692.

It is an arithmetic number, because the mean of its divisors is an integer number (5658233089860).

Almost surely, 2211003111332112 is an apocalyptic number.

211003111332112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211003111332112 is an abundant number, since it is smaller than the sum of its proper divisors (241655535856688).

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

211003111332112 is a wasteful number, since it uses less digits than its factorization.

211003111332112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724424 (or 724418 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 211003111332112 its reverse (211233111300112), we get a palindrome (422236222632224).

The spelling of 211003111332112 in words is "two hundred eleven trillion, three billion, one hundred eleven million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 67 88 134 176 268 536 737 1072 1474 2948 5896 11792 25609 51218 102436 204872 281699 409744 563398 698729 1126796 1397458 1715803 2253592 2794916 3431606 4507184 5589832 6863212 7686019 11179664 13726424 15372038 18873833 27452848 30744076 37747666 46814843 61488152 75495332 93629686 122976304 150990664 187259372 301981328 374518744 514963273 749037488 1029926546 2059853092 4119706184 8239412368 17893750961 35787501922 71575003844 143150007688 196831260571 286300015376 393662521142 787325042284 1198881314387 1574650084568 2397762628774 3149300169136 4795525257548 9591050515096 13187694458257 19182101030192 26375388916514 52750777833028 105501555666056 211003111332112