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110309838993 = 3231212754057
BaseRepresentation
bin110011010111011111…
…0101001000010010001
3101112201200102102120100
41212232332221002101
53301403304321433
6122401534403013
710653403106064
oct1465676510221
9345650372510
10110309838993
11428670347a2
1219466660469
13a52c7611a3
1454a63d88db
152d093ebb13
hex19aefa9091

110309838993 has 18 divisors (see below), whose sum is σ = 164642134722. Its totient is φ = 71167632480.

The previous prime is 110309838967. The next prime is 110309839007. The reversal of 110309838993 is 399838903011.

It can be written as a sum of positive squares in only one way, i.e., 91974512529 + 18335326464 = 303273^2 + 135408^2 .

It is not a de Polignac number, because 110309838993 - 212 = 110309834897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110309830993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6368380 + ... + 6385677.

Almost surely, 2110309838993 is an apocalyptic number.

It is an amenable number.

110309838993 is a deficient number, since it is larger than the sum of its proper divisors (54332295729).

110309838993 is a wasteful number, since it uses less digits than its factorization.

110309838993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12754125 (or 12754091 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 110309838993 in words is "one hundred ten billion, three hundred nine million, eight hundred thirty-eight thousand, nine hundred ninety-three".

Divisors: 1 3 9 31 93 279 961 2883 8649 12754057 38262171 114786513 395375767 1186127301 3558381903 12256648777 36769946331 110309838993