Search a number
-
+
1106054034040 = 235101210326317
BaseRepresentation
bin10000000110000101111…
…101010011001001111000
310220201220210210120011201
4100012011331103021320
5121110144313042130
62204040400303544
7142624023111364
oct20060575231170
93821823716151
101106054034040
1139709073840a
1215a43b311bb4
13803ba112637
143b7675402a4
151db8720dbca
hex10185f53278

1106054034040 has 96 divisors (see below), whose sum is σ = 2538004753440. Its totient is φ = 433771891200.

The previous prime is 1106054034031. The next prime is 1106054034049. The reversal of 1106054034040 is 404304506011.

It is an interprime number because it is at equal distance from previous prime (1106054034031) and next prime (1106054034049).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106054034049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42014962 + ... + 42041278.

It is an arithmetic number, because the mean of its divisors is an integer number (26437549515).

Almost surely, 21106054034040 is an apocalyptic number.

1106054034040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1106054034040 is an abundant number, since it is smaller than the sum of its proper divisors (1431950719400).

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

1106054034040 is a wasteful number, since it uses less digits than its factorization.

1106054034040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26633 (or 26528 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 1106054034040 in words is "one trillion, one hundred six billion, fifty-four million, thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 101 103 202 206 404 412 505 515 808 824 1010 1030 2020 2060 4040 4120 10201 10403 20402 20806 26317 40804 41612 51005 52015 52634 81608 83224 102010 104030 105268 131585 204020 208060 210536 263170 408040 416120 526340 1050703 1052680 2101406 2658017 2710651 4202812 5253515 5316034 5421302 8405624 10507030 10632068 10842604 13290085 13553255 21014060 21264136 21685208 26580170 27106510 42028120 53160340 54213020 106320680 108426040 268459717 273775751 536919434 547551502 1073838868 1095103004 1342298585 1368878755 2147677736 2190206008 2684597170 2737757510 5369194340 5475515020 10738388680 10951030040 27651350851 55302701702 110605403404 138256754255 221210806808 276513508510 553027017020 1106054034040