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11001001111110 = 2325619491211129
BaseRepresentation
bin1010000000010101111011…
…0000110110111001000110
31102221200111200102101120200
42200011132300312321012
52420220022241023420
635221442400511330
72213540030402523
oct240053660667106
942850450371520
1011001001111110
11356155337156a
12129809901b546
1361a50b95cbaa
142a06464d214a
15141264509b90
hexa015ec36e46

11001001111110 has 96 divisors (see below), whose sum is σ = 29074698787680. Its totient is φ = 2885190796800.

The previous prime is 11001001111081. The next prime is 11001001111201. The reversal of 11001001111110 is 1111110010011.

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 = 11001001111092 and 11001001111101.

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, 52000026 + ... + 52211154.

It is an arithmetic number, because the mean of its divisors is an integer number (302861445705).

Almost surely, 211001001111110 is an apocalyptic number.

11001001111110 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 11001001111110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14537349393840).

11001001111110 is an abundant number, since it is smaller than the sum of its proper divisors (18073697676570).

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

11001001111110 is a wasteful number, since it uses less digits than its factorization.

11001001111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220694 (or 220691 counting only the distinct ones).

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

Adding to 11001001111110 its reverse (1111110010011), we get a palindrome (12112111121121).

The spelling of 11001001111110 in words is "eleven trillion, one billion, one million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 9491 18982 28473 47455 56946 85419 94910 142365 170838 211129 284730 422258 427095 578951 633387 854190 1055645 1157902 1266774 1736853 1900161 2111290 2894755 3166935 3473706 3800322 5210559 5789510 6333870 8684265 9500805 10421118 12878869 17368530 19001610 25757738 26052795 38636607 52105590 64394345 77273214 115909821 128788690 193183035 231819642 386366070 579549105 1159098210 2003825339 4007650678 6011476017 10019126695 12022952034 18034428051 20038253390 30057380085 36068856102 60114760170 90172140255 122233345679 180344280510 244466691358 366700037037 611166728395 733400074074 1100100111111 1222333456790 1833500185185 2200200222222 3667000370370 5500500555555 11001001111110