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10110000111111 = 3273139149742993
BaseRepresentation
bin1001001100011110101011…
…1101110001111000000111
31022210111200021211212121200
42103013222331301320013
52311120240012023421
633300245301113543
72062265141016555
oct223075275617007
938714607755550
1010110000111111
11324869954a65a
1211734766b88b3
135844a4693b74
1426d480340bd5
15127eb705d726
hex931eaf71e07

10110000111111 has 48 divisors (see below), whose sum is σ = 15009964788000. Its totient is φ = 6555543238656.

The previous prime is 10110000111109. The next prime is 10110000111191. The reversal of 10110000111111 is 11111100001101.

It is not a de Polignac number, because 10110000111111 - 21 = 10110000111109 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 = 10110000111093 and 10110000111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110000111191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13235631 + ... + 13978623.

It is an arithmetic number, because the mean of its divisors is an integer number (312707599750).

Almost surely, 210110000111111 is an apocalyptic number.

10110000111111 is a deficient number, since it is larger than the sum of its proper divisors (4899964676889).

10110000111111 is a wasteful number, since it uses less digits than its factorization.

10110000111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743360 (or 743357 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10110000111111 its reverse (11111100001101), we get a palindrome (21221100112212).

The spelling of 10110000111111 in words is "ten trillion, one hundred ten billion, one hundred eleven thousand, one hundred eleven".

Divisors: 1 3 9 73 139 149 219 417 447 657 1251 1341 10147 10877 20711 30441 32631 62133 91323 97893 186399 742993 1511903 2228979 4535709 6686937 13607127 54238489 103276027 110705957 162715467 309828081 332117871 488146401 929484243 996353613 7539149971 8081534861 15388128023 22617449913 24244604583 46164384069 67852349739 72733813749 138493152207 1123333345679 3370000037037 10110000111111