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1001111101110 = 23554073101149
BaseRepresentation
bin11101001000101101101…
…11110001111010110110
310112201001011011012200000
432210112313301322312
5112400233420213420
62043523141132130
7132220315645611
oct16442667617266
93481034135600
101001111101110
1135662913267a
121420320ba046
1373534535313
143664dc35178
151b094091690
hexe916df1eb6

1001111101110 has 96 divisors (see below), whose sum is σ = 2699981575200. Its totient is φ = 266894777088.

The previous prime is 1001111101087. The next prime is 1001111101121. The reversal of 1001111101110 is 111011111001.

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 = 1001111101092 and 1001111101101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9846816 + ... + 9947964.

It is an arithmetic number, because the mean of its divisors is an integer number (28124808075).

Almost surely, 21001111101110 is an apocalyptic number.

1001111101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001111101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349990787600).

1001111101110 is an abundant number, since it is smaller than the sum of its proper divisors (1698870474090).

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

1001111101110 is a wasteful number, since it uses less digits than its factorization.

1001111101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105244 (or 105232 counting only the distinct ones).

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

Adding to 1001111101110 its reverse (111011111001), we get a palindrome (1112122212111).

The spelling of 1001111101110 in words is "one trillion, one billion, one hundred eleven million, one hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 4073 8146 12219 20365 24438 36657 40730 61095 73314 101149 109971 122190 183285 202298 219942 303447 329913 366570 505745 549855 606894 659826 910341 989739 1011490 1099710 1517235 1649565 1820682 1979478 2731023 3034470 3299130 4551705 4948695 5462046 8193069 9103410 9897390 13655115 16386138 24579207 27310230 40965345 49158414 81930690 122896035 245792070 411979877 823959754 1235939631 2059899385 2471879262 3707818893 4119798770 6179698155 7415637786 11123456679 12359396310 18539094465 22246913358 33370370037 37078188930 55617283395 66740740074 100111110111 111234566790 166851850185 200222220222 333703700370 500555550555 1001111101110