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11981710521 = 321123121072
BaseRepresentation
bin10110010100010101…
…00110010010111001
31010221000200221220100
423022022212102321
5144014304214041
65300533350013
7602626600434
oct131212462271
933830627810
1011981710521
1150993aa500
1223a4798309
13118c42cb51
1481941a81b
154a1d5b6b6
hex2ca2a64b9

11981710521 has 81 divisors (see below), whose sum is σ = 19842178629. Its totient is φ = 6961719600.

The previous prime is 11981710493. The next prime is 11981710523. The reversal of 11981710521 is 12501718911.

The square root of 11981710521 is 109461.

It is a perfect power (a square), and thus also a powerful number.

11981710521 is a `hidden beast` number, since 119 + 8 + 1 + 7 + 10 + 521 = 666.

It is not a de Polignac number, because 11981710521 - 213 = 11981702329 is a prime.

It is a super-2 number, since 2×119817105212 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11981710523) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 111978550 + ... + 111978656.

Almost surely, 211981710521 is an apocalyptic number.

11981710521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11981710521 is the 109461-st square number.

11981710521 is the 54731-st centered octagonal number.

It is an amenable number.

11981710521 is a deficient number, since it is larger than the sum of its proper divisors (7860468108).

11981710521 is a wasteful number, since it uses less digits than its factorization.

11981710521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 36.

Multiplying 11981710521 by its sum of digits (36), we get a square (431341578756 = 6567662).

The spelling of 11981710521 in words is "eleven billion, nine hundred eighty-one million, seven hundred ten thousand, five hundred twenty-one".

Divisors: 1 3 9 11 31 33 93 99 107 121 279 321 341 363 961 963 1023 1089 1177 2883 3069 3317 3531 3751 8649 9951 10571 10593 11253 11449 12947 29853 31713 33759 34347 36487 38841 95139 102827 103041 109461 116281 116523 125939 308481 328383 348843 354919 377817 401357 925443 1046529 1064757 1131097 1133451 1204071 1385329 3194271 3393291 3612213 3904109 4155987 10179873 11002489 11712327 12442067 12467961 33007467 35136981 37326201 42945199 99022401 111978603 121027379 128835597 363082137 386506791 1089246411 1331301169 3993903507 11981710521