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10981971 = 32711132353
BaseRepresentation
bin101001111001…
…001001010011
3202122221102200
4221321021103
510302410341
61031214243
7162226260
oct51711123
922587380
1010981971
116220a10
123817383
132376810
14165c267
15e6ddb6
hexa79253

10981971 has 96 divisors (see below), whose sum is σ = 22643712. Its totient is φ = 4942080.

The previous prime is 10981969. The next prime is 10981987. The reversal of 10981971 is 17918901.

10981971 = 3392 + 3402 + ... + 4152.

10981971 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10981971 - 21 = 10981969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10981921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207181 + ... + 207233.

It is an arithmetic number, because the mean of its divisors is an integer number (235872).

Almost surely, 210981971 is an apocalyptic number.

10981971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10981971 is an abundant number, since it is smaller than the sum of its proper divisors (11661741).

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

10981971 is a wasteful number, since it uses less digits than its factorization.

10981971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

The square root of 10981971 is about 3313.9057017362. The cubic root of 10981971 is about 222.2764391694.

The spelling of 10981971 in words is "ten million, nine hundred eighty-one thousand, nine hundred seventy-one".

Divisors: 1 3 7 9 11 13 21 23 33 39 53 63 69 77 91 99 117 143 159 161 207 231 253 273 299 371 429 477 483 583 689 693 759 819 897 1001 1113 1219 1287 1449 1749 1771 2067 2093 2277 2691 3003 3289 3339 3657 4081 4823 5247 5313 6201 6279 7579 8533 9009 9867 10971 12243 13409 14469 15847 15939 18837 22737 23023 25599 29601 36729 40227 43407 47541 53053 68211 69069 76797 93863 110929 120681 142623 159159 174317 207207 281589 332787 477477 522951 844767 998361 1220219 1568853 3660657 10981971