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211054522014 = 232743335911597
BaseRepresentation
bin1100010010001111010…
…1000110111010011110
3202011202202022120212200
43010203311012322132
511424214424201024
6240542422512330
721151061560110
oct3044365067236
9664682276780
10211054522014
1181564859206
1234aa18956a6
1316b9662626b
14a3023053b0
155753bd32c9
hex3123d46e9e

211054522014 has 96 divisors (see below), whose sum is σ = 534970275840. Its totient is φ = 58876324416.

The previous prime is 211054522009. The next prime is 211054522037. The reversal of 211054522014 is 410225450112.

It is a happy number.

211054522014 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 5 + 452 + 201 + 4 = 666.

It is a super-2 number, since 2×2110545220142 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18193264 + ... + 18204860.

It is an arithmetic number, because the mean of its divisors is an integer number (5572607040).

Almost surely, 2211054522014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211054522014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267485137920).

211054522014 is an abundant number, since it is smaller than the sum of its proper divisors (323915753826).

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

211054522014 is a wasteful number, since it uses less digits than its factorization.

211054522014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15014 (or 15011 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 211054522014 its reverse (410225450112), we get a palindrome (621279972126).

The spelling of 211054522014 in words is "two hundred eleven billion, fifty-four million, five hundred twenty-two thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 602 774 903 1806 2709 3359 5418 6718 10077 11597 20154 23194 23513 30231 34791 47026 60462 69582 70539 81179 104373 141078 144437 162358 208746 211617 243537 288874 423234 433311 487074 498671 730611 866622 997342 1011059 1299933 1461222 1496013 2022118 2599866 2992026 3033177 3490697 4488039 6066354 6981394 8976078 9099531 10472091 18199062 20944182 31416273 38954323 62832546 77908646 116862969 233725938 272680261 350588907 545360522 701177814 818040783 1636081566 1675035889 2454122349 3350071778 4908244698 5025107667 10050215334 11725251223 15075323001 23450502446 30150646002 35175753669 70351507338 105527261007 211054522014