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201110011102 = 271113412719041
BaseRepresentation
bin1011101101001100010…
…1110011110011011110
3201020002200222002110201
42323103011303303132
511243333130323402
6232215541254114
720346456613660
oct2732305636336
9636080862421
10201110011102
11783213a3a50
1232b8740433a
1315c70296790
149a3b6a8530
155370b36687
hex2ed3173cde

201110011102 has 128 divisors (see below), whose sum is σ = 416488697856. Its totient is φ = 70295040000.

The previous prime is 201110011073. The next prime is 201110011111.

201110011102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22239702 + ... + 22248742.

It is an arithmetic number, because the mean of its divisors is an integer number (3253817952).

Almost surely, 2201110011102 is an apocalyptic number.

201110011102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

201110011102 is an abundant number, since it is smaller than the sum of its proper divisors (215378686754).

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

201110011102 is a wasteful number, since it uses less digits than its factorization.

201110011102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9386.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 2011100 and 11102, that added together give a palindrome (2022202).

The spelling of 201110011102 in words is "two hundred one billion, one hundred ten million, eleven thousand, one hundred two".

Divisors: 1 2 7 11 13 14 22 26 41 77 82 91 143 154 182 271 286 287 451 533 542 574 902 1001 1066 1897 2002 2981 3157 3523 3731 3794 5863 5962 6314 7046 7462 9041 11111 11726 18082 20867 22222 24661 38753 41041 41734 49322 63287 77506 77777 82082 99451 117533 122221 126574 144443 155554 198902 235066 244442 271271 288886 370681 542542 696157 741362 822731 855547 1011101 1292863 1392314 1588873 1645462 1711094 2022202 2450111 2585726 2594767 3177746 4077491 4818853 4900222 5189534 8154982 9050041 9637706 11122111 17150777 18100082 22244222 26951221 28542437 31851443 33731971 34301554 53007383 53902442 57084874 63702886 67463942 100454551 106014766 188658547 200909102 222960101 350365873 371051681 377317094 445920202 700731746 703181857 742103362 1105000061 1305909163 1406363714 2210000122 2452561111 2611818326 4905122222 7735000427 9141364141 14365000793 15470000854 18282728282 28730001586 100555005551 201110011102