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2105032354040 = 235721197636009
BaseRepresentation
bin11110101000011101101…
…101001010100011111000
321110020110022202021011202
4132220131231022203320
5233442101240312130
64251012152513332
7305040443532500
oct36503555124370
97406408667152
102105032354040
11741814981a70
1229bb770ab848
1312367181cca5
1473c53dd4a00
1539b53e10145
hex1ea1db4a8f8

2105032354040 has 96 divisors (see below), whose sum is σ = 6010472775600. Its totient is φ = 656113973760.

The previous prime is 2105032353989. The next prime is 2105032354079. The reversal of 2105032354040 is 404532305012.

It is a happy number.

It is a super-2 number, since 2×21050323540402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2105032353994 and 2105032354012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48796445 + ... + 48839564.

Almost surely, 22105032354040 is an apocalyptic number.

2105032354040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2105032354040 is an abundant number, since it is smaller than the sum of its proper divisors (3905440421560).

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

2105032354040 is a wasteful number, since it uses less digits than its factorization.

2105032354040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97636045 (or 97636034 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 2105032354040 its reverse (404532305012), we get a palindrome (2509564659052).

The spelling of 2105032354040 in words is "two trillion, one hundred five billion, thirty-two million, three hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 385 392 440 490 539 616 770 980 1078 1540 1960 2156 2695 3080 4312 5390 10780 21560 97636009 195272018 390544036 488180045 683452063 781088072 976360090 1073996099 1366904126 1952720180 2147992198 2733808252 3417260315 3905440360 4295984396 4784164441 5369980495 5467616504 6834520630 7517972693 8591968792 9568328882 10739960990 13669041260 15035945386 19136657764 21479921980 23920822205 27338082520 30071890772 37589863465 38273315528 42959843960 47841644410 52625808851 60143781544 75179726930 95683288820 105251617702 150359453860 191366577640 210503235404 263129044255 300718907720 421006470808 526258088510 1052516177020 2105032354040