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1110000310011 = 341729107259781
BaseRepresentation
bin10000001001110001001…
…011001001011011111011
310221010002211102011010000
4100021301023021123323
5121141240034410021
62205532130524043
7143123561650215
oct20116113113373
93833084364100
101110000310011
11398826267a0a
1215b160a36623
1380898873888
143ba1d6ab5b5
151dd188c0b26
hex102712c96fb

1110000310011 has 80 divisors (see below), whose sum is σ = 1833208835040. Its totient is φ = 666167362560.

The previous prime is 1110000309961. The next prime is 1110000310019. The reversal of 1110000310011 is 1100130000111.

It is not a de Polignac number, because 1110000310011 - 217 = 1110000178939 is a prime.

It is a super-2 number, since 2×11100003100112 (a number of 25 digits) contains 22 as substring.

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 = 1110000309975 and 1110000310002.

It is not an unprimeable number, because it can be changed into a prime (1110000310019) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4142941 + ... + 4402721.

It is an arithmetic number, because the mean of its divisors is an integer number (22915110438).

Almost surely, 21110000310011 is an apocalyptic number.

1110000310011 is a deficient number, since it is larger than the sum of its proper divisors (723208525029).

1110000310011 is a wasteful number, since it uses less digits than its factorization.

1110000310011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259946 (or 259937 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 1110000310011 its reverse (1100130000111), we get a palindrome (2210130310122).

The spelling of 1110000310011 in words is "one trillion, one hundred ten billion, three hundred ten thousand, eleven".

Divisors: 1 3 9 17 27 29 51 81 87 107 153 261 321 459 493 783 963 1377 1479 1819 2349 2889 3103 4437 5457 8667 9309 13311 16371 27927 39933 49113 52751 83781 147339 158253 251343 259781 474759 779343 1424277 2338029 4272831 4416277 7014087 7533649 13248831 21042261 22600947 27796567 39746493 67802841 83389701 119239479 128072033 203408523 250169103 357718437 384216099 472541639 610225569 750507309 806100443 1152648297 1417624917 2251521927 2418301329 3457944891 4252874751 7254903987 10373834673 12758624253 13703707531 21764711961 38275872759 41111122593 65294135883 123333367779 370000103337 1110000310011