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1107149440319 = 1371271216333
BaseRepresentation
bin10000000111000111001…
…111111100010100111111
310220211202010222222002122
4100013013033330110333
5121114420224042234
62204341210513155
7142663123652606
oct20070717742477
93824663888078
101107149440319
113975a2aa535a
1215a6a61357bb
1380533045430
143b82cc04a3d
151dbed48892e
hex101c73fc53f

1107149440319 has 24 divisors (see below), whose sum is σ = 1213660367136. Its totient is φ = 1003810449600.

The previous prime is 1107149440273. The next prime is 1107149440403. The reversal of 1107149440319 is 9130449417011.

It is not a de Polignac number, because 1107149440319 - 212 = 1107149436223 is a prime.

It is a super-2 number, since 2×11071494403192 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1107149440319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107149440219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67777877 + ... + 67794209.

It is an arithmetic number, because the mean of its divisors is an integer number (50569181964).

Almost surely, 21107149440319 is an apocalyptic number.

1107149440319 is a deficient number, since it is larger than the sum of its proper divisors (106510926817).

1107149440319 is an equidigital number, since it uses as much as digits as its factorization.

1107149440319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16959 (or 16688 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The spelling of 1107149440319 in words is "one trillion, one hundred seven billion, one hundred forty-nine million, four hundred forty thousand, three hundred nineteen".

Divisors: 1 13 71 271 923 3523 16333 19241 73441 212329 250133 954733 1159643 4426243 5214311 15075359 57541159 67786043 314263253 1199511853 4085422289 15593654089 85165341563 1107149440319