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11020010001011 = 11193121011075077
BaseRepresentation
bin1010000001011100101111…
…0010000001001001110011
31110000111120110000001100222
42200113023302001021303
52421022440030013021
635234304523203255
72215112056322564
oct240271362011163
943014513001328
1011020010001011
113569618399930
12129b90307652b
1361c24abc0b3b
142a152ad0216b
151419c824d6ab
hexa05cbc81273

11020010001011 has 96 divisors (see below), whose sum is σ = 13331441583360. Its totient is φ = 9007057440000.

The previous prime is 11020010001001. The next prime is 11020010001019. The reversal of 11020010001011 is 11010001002011.

It is a happy number.

It is not a de Polignac number, because 11020010001011 - 234 = 11002830131827 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11020010001011.

It is not an unprimeable number, because it can be changed into a prime (11020010001019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2170572605 + ... + 2170577681.

It is an arithmetic number, because the mean of its divisors is an integer number (138869183160).

Almost surely, 211020010001011 is an apocalyptic number.

11020010001011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11020010001011 is a deficient number, since it is larger than the sum of its proper divisors (2311431582349).

11020010001011 is a wasteful number, since it uses less digits than its factorization.

11020010001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5377 (or 5346 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11020010001011 its reverse (11010001002011), we get a palindrome (22030011003022).

It can be divided in two parts, 1102001000 and 1011, that added together give a palindrome (1102002011).

The spelling of 11020010001011 in words is "eleven trillion, twenty billion, ten million, one thousand, eleven".

Divisors: 1 11 19 31 101 107 209 341 589 961 1111 1177 1919 2033 3131 3317 5077 6479 10571 10807 18259 21109 22363 34441 36487 55847 59489 63023 96463 97061 102827 118877 157387 200849 205333 335017 512777 543239 654379 693253 1061093 1067671 1131097 1731257 1844159 1953713 2258663 2990353 3685187 4878997 5640547 5975629 6365323 9742763 10321541 10385527 15896087 16840409 20285749 21490843 32893883 53668967 54867139 70018553 92700943 107170393 113536951 114240797 174856957 185244499 197325013 302025653 319967771 492778697 522052679 603538529 1019710373 1042475641 1700881309 2170575143 3322282183 3519645481 5420565667 5742579469 9362795243 9919000901 11467232051 18709694399 32316744871 52727320579 102990747673 109109009911 355484193581 580000526369 1001819091001 11020010001011