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11002000012011 = 3229536176412011
BaseRepresentation
bin1010000000011001101001…
…0011010111001011101011
31102221210002022000211000100
42200012122103113023223
52420224044000341021
635222125442440443
72213603550045201
oct240063223271353
942853068024010
1011002000012011
113561a162045a8
121298317663123
1361a63a8a3a08
142a06dd035071
151412c2070626
hexa019a4d72eb

11002000012011 has 96 divisors (see below), whose sum is σ = 16811630896320. Its totient is φ = 6922602086400.

The previous prime is 11002000011949. The next prime is 11002000012013. The reversal of 11002000012011 is 11021000020011.

It is a happy number.

It is not a de Polignac number, because 11002000012011 - 27 = 11002000011883 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11002000011984 and 11002000012002.

It is not an unprimeable number, because it can be changed into a prime (11002000012013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5470908996 + ... + 5470911006.

It is an arithmetic number, because the mean of its divisors is an integer number (175121155170).

Almost surely, 211002000012011 is an apocalyptic number.

11002000012011 is a deficient number, since it is larger than the sum of its proper divisors (5809630884309).

11002000012011 is a wasteful number, since it uses less digits than its factorization.

11002000012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11002000012011 its reverse (11021000020011), we get a palindrome (22023000032022).

The spelling of 11002000012011 in words is "eleven trillion, two billion, twelve thousand, eleven".

Divisors: 1 3 9 29 53 87 159 261 477 617 641 1537 1851 1923 2011 4611 5553 5769 6033 13833 17893 18099 18589 32701 33973 53679 55767 58319 98103 101919 106583 161037 167301 174957 294309 305757 319749 395497 524871 948329 959247 985217 1186491 1240787 1289051 2844987 2955651 3090907 3559473 3722361 3867153 8534961 8866953 9272721 11167083 11469413 11601459 20961341 27818163 34408239 35982823 37382479 62884023 65761711 68319703 103224717 107948469 112147437 188652069 197285133 204959109 323845407 336442311 591855399 607878889 614877327 795344467 1823636667 1907089619 1981271387 2386033401 5470910001 5721268857 5943814161 7158100203 17163806571 17831442483 23064989543 42153256751 69194968629 126459770253 207584905887 379379310759 1222444445779 3667333337337 11002000012011