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10101010986 = 2331167353719
BaseRepresentation
bin10010110100001000…
…10011001000101010
3222001221211112011000
421122010103020222
5131141324322421
64350151415430
7505212114423
oct113204231052
928057745130
1010101010986
114313837070
121b5a984576
13c4c8c61a1
146bb73864a
153e1bb2226
hex25a11322a

10101010986 has 128 divisors (see below), whose sum is σ = 24957849600. Its totient is φ = 3002503680.

The previous prime is 10101010981. The next prime is 10101010999. The reversal of 10101010986 is 68901010101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10101010981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14048335 + ... + 14049053.

It is an arithmetic number, because the mean of its divisors is an integer number (194983200).

Almost surely, 210101010986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101010986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12478924800).

10101010986 is an abundant number, since it is smaller than the sum of its proper divisors (14856838614).

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

10101010986 is a wasteful number, since it uses less digits than its factorization.

10101010986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The spelling of 10101010986 in words is "ten billion, one hundred one million, ten thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 67 99 134 198 201 297 353 402 594 603 706 719 737 1059 1206 1438 1474 1809 2118 2157 2211 3177 3618 3883 4314 4422 6354 6471 6633 7766 7909 9531 11649 12942 13266 15818 19062 19413 19899 23298 23651 23727 34947 38826 39798 47302 47454 48173 69894 70953 71181 96346 104841 141906 142362 144519 209682 212859 213543 253807 260161 289038 425718 427086 433557 507614 520322 529903 638577 761421 780483 867114 1059806 1277154 1300671 1522842 1560966 1589709 2284263 2341449 2601342 2791877 3179418 4568526 4682898 4769127 5583754 6852789 7024347 8375631 9538254 13705578 14048694 14307381 16751262 17005069 25126893 28614762 34010138 50253786 51015207 75380679 102030414 150761358 153045621 187055759 306091242 374111518 459136863 561167277 918273726 1122334554 1683501831 3367003662 5050505493 10101010986