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1100010011110 = 255328340118289
BaseRepresentation
bin10000000000011101101…
…101001011100111100110
310220011022120220101101121
4100000131231023213212
5121010310030323420
62201200532044154
7142321162551313
oct20003555134746
93804276811347
101100010011110
11394569a7953a
1215923316365a
137c965ba1bca
143b352951d0a
151d9317cc2aa
hex1001db4b9e6

1100010011110 has 64 divisors (see below), whose sum is σ = 2029665003840. Its totient is φ = 429080371200.

The previous prime is 1100010011101. The next prime is 1100010011119. The reversal of 1100010011110 is 111100100011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1100010011101) and next prime (1100010011119).

It is a junction number, because it is equal to n+sod(n) for n = 1100010011093 and 1100010011102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100010011119) 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 31 ways as a sum of consecutive naturals, for example, 60136846 + ... + 60155134.

It is an arithmetic number, because the mean of its divisors is an integer number (31713515685).

Almost surely, 21100010011110 is an apocalyptic number.

1100010011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1100010011110 is a deficient number, since it is larger than the sum of its proper divisors (929654992730).

1100010011110 is a wasteful number, since it uses less digits than its factorization.

1100010011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19033.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1100010011110 its reverse (111100100011), we get a palindrome (1211110111121).

The spelling of 1100010011110 in words is "one trillion, one hundred billion, ten million, eleven thousand, one hundred ten".

Divisors: 1 2 5 10 53 106 265 283 401 530 566 802 1415 2005 2830 4010 14999 18289 21253 29998 36578 42506 74995 91445 106265 113483 149990 182890 212530 226966 567415 969317 1134830 1938634 4846585 5175787 6014599 7333889 9693170 10351574 12029198 14667778 25878935 30072995 36669445 51757870 60145990 73338890 274316711 388696117 548633422 777392234 1371583555 1943480585 2075490587 2743167110 3886961170 4150981174 10377452935 20754905870 110001001111 220002002222 550005005555 1100010011110