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30110311110 = 235112918117383
BaseRepresentation
bin11100000010101101…
…101110001011000110
32212201102212021202210
4130002231232023012
5443131214423420
621455452244250
72114106264405
oct340255561306
985642767683
1030110311110
1111851538440
125a03a70686
132abb1a8c49
141658d6163c
15bb36689e0
hex702b6e2c6

30110311110 has 128 divisors (see below), whose sum is σ = 82007976960. Its totient is φ = 7008422400.

The previous prime is 30110311043. The next prime is 30110311111. The reversal of 30110311110 is 1111301103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30110311111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1723479 + ... + 1740861.

It is an arithmetic number, because the mean of its divisors is an integer number (640687320).

Almost surely, 230110311110 is an apocalyptic number.

30110311110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30110311110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41003988480).

30110311110 is an abundant number, since it is smaller than the sum of its proper divisors (51897665850).

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

30110311110 is a wasteful number, since it uses less digits than its factorization.

30110311110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17614.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 30110311110 its reverse (1111301103), we get a palindrome (31221612213).

It can be divided in two parts, 301103 and 11110, that added together give a palindrome (312213).

The spelling of 30110311110 in words is "thirty billion, one hundred ten million, three hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 181 290 319 330 362 435 543 638 870 905 957 1086 1595 1810 1914 1991 2715 3190 3982 4785 5249 5430 5973 9570 9955 10498 11946 15747 17383 19910 26245 29865 31494 34766 52149 52490 57739 59730 78735 86915 104298 115478 157470 173217 173830 191213 260745 288695 346434 382426 504107 521490 573639 577390 866085 956065 1008214 1147278 1512321 1732170 1912130 2520535 2868195 3024642 3146323 5041070 5545177 5736390 6292646 7561605 9438969 11090354 15123210 15731615 16635531 18877938 27725885 31463230 33271062 34609553 47194845 55451770 69219106 83177655 91243367 94389690 103828659 166355310 173047765 182486734 207657318 273730101 346095530 456216835 519143295 547460202 912433670 1003677037 1038286590 1368650505 2007354074 2737301010 3011031111 5018385185 6022062222 10036770370 15055155555 30110311110