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101065986 = 232717291627
BaseRepresentation
bin1100000011000…
…10010100000010
321001011200110200
412001202110002
5201333102421
614010110030
72335022010
oct601422402
9231150420
10101065986
115205a40a
1229a1b316
1317c27a78
14d5cb8b0
158d15726
hex6062502

101065986 has 96 divisors (see below), whose sum is σ = 274285440. Its totient is φ = 26224128.

The previous prime is 101065973. The next prime is 101066033. The reversal of 101065986 is 689560101.

It is a self number, because there is not a number n which added to its sum of digits gives 101065986.

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, 61305 + ... + 62931.

It is an arithmetic number, because the mean of its divisors is an integer number (2857140).

Almost surely, 2101065986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101065986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137142720).

101065986 is an abundant number, since it is smaller than the sum of its proper divisors (173219454).

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

101065986 is a wasteful number, since it uses less digits than its factorization.

101065986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 101065986 is about 10053.1580112918. The cubic root of 101065986 is about 465.8023469955.

The spelling of 101065986 in words is "one hundred one million, sixty-five thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 29 34 42 51 58 63 87 102 119 126 153 174 203 238 261 306 357 406 493 522 609 714 986 1071 1218 1479 1627 1827 2142 2958 3254 3451 3654 4437 4881 6902 8874 9762 10353 11389 14643 20706 22778 27659 29286 31059 34167 47183 55318 62118 68334 82977 94366 102501 141549 165954 193613 205002 248931 283098 330281 387226 424647 497862 580839 660562 802111 849294 990843 1161678 1604222 1742517 1981686 2406333 2972529 3485034 4812666 5614777 5945058 7218999 11229554 14437998 16844331 33688662 50532993 101065986