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11000012011110 = 23251195691022191
BaseRepresentation
bin1010000000010010001111…
…0011101111011001100110
31102221120221202020220110100
42200010203303233121212
52420211011033323420
635221200305004530
72213503360240203
oct240044363573146
942846852226410
1011000012011110
113561096013051
121297a61923746
1361a3b1a6b115
142a0590dc0caa
1514120777d190
hexa0123cef666

11000012011110 has 48 divisors (see below), whose sum is σ = 28600298400960. Its totient is φ = 2933309134080.

The previous prime is 11000012011067. The next prime is 11000012011117. The reversal of 11000012011110 is 1111021000011.

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 = 11000012011092 and 11000012011101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000012011117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10250115 + ... + 11272305.

It is an arithmetic number, because the mean of its divisors is an integer number (595839550020).

Almost surely, 211000012011110 is an apocalyptic number.

11000012011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11000012011110 is an abundant number, since it is smaller than the sum of its proper divisors (17600286389850).

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

11000012011110 is a wasteful number, since it uses less digits than its factorization.

11000012011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141773 (or 1141770 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11000012011110 its reverse (1111021000011), we get a palindrome (12111033011121).

The spelling of 11000012011110 in words is "eleven trillion, twelve million, eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 119569 239138 358707 597845 717414 1022191 1076121 1195690 1793535 2044382 2152242 3066573 3587070 5110955 5380605 6133146 9199719 10221910 10761210 15332865 18399438 30665730 45998595 91997190 122222355679 244444711358 366667067037 611111778395 733334134074 1100001201111 1222223556790 1833335335185 2200002402222 3666670670370 5500006005555 11000012011110