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1011100000986 = 2321374197191361
BaseRepresentation
bin11101011011010100100…
…00011010001011011010
310120122211022000220021200
432231222100122023122
5113031213100012421
62052254250015030
7133023000126645
oct16555220321332
93518738026250
101011100000986
1135a894655a29
12143b5b417476
1374466b3726a
1436d1a708a5c
151b47aeaa726
hexeb6a41a2da

1011100000986 has 96 divisors (see below), whose sum is σ = 2216677881600. Its totient is φ = 333065610240.

The previous prime is 1011100000979. The next prime is 1011100000987. The reversal of 1011100000986 is 6890000011101.

1011100000986 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1011100000987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 742908946 + ... + 742910306.

It is an arithmetic number, because the mean of its divisors is an integer number (23090394600).

Almost surely, 21011100000986 is an apocalyptic number.

1011100000986 is an abundant number, since it is smaller than the sum of its proper divisors (1205577880614).

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

1011100000986 is a wasteful number, since it uses less digits than its factorization.

1011100000986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2641 counting only the distinct ones).

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

The spelling of 1011100000986 in words is "one trillion, eleven billion, one hundred million, nine hundred eighty-six", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 137 274 411 419 719 822 838 1233 1257 1361 1438 2157 2466 2514 2722 3771 4083 4314 6471 7542 8166 12249 12942 24498 57403 98503 114806 172209 186457 197006 295509 301261 344418 372914 516627 559371 570259 591018 602522 886527 903783 978559 1033254 1118742 1140518 1678113 1710777 1773054 1807566 1957118 2711349 2935677 3356226 3421554 5132331 5422698 5871354 8807031 10264662 17614062 41272757 78125483 82545514 123818271 134062583 156250966 234376449 247636542 268125166 371454813 402187749 410016221 468752898 703129347 742909626 804375498 820032442 1206563247 1230048663 1406258694 2413126494 2460097326 3690145989 7380291978 56172222277 112344444554 168516666831 337033333662 505550000493 1011100000986