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107117002191 = 3471913977461
BaseRepresentation
bin110001111000010101…
…0111011110111001111
3101020111011112111212110
41203300222323313033
53223333423032231
6121113041035103
710511313332013
oct1436052736717
9336434474773
10107117002191
11414788341a1
1218915325a93
13a14112cc44
145282356543
152bbde66046
hex18f0abbdcf

107117002191 has 16 divisors (see below), whose sum is σ = 146625159168. Its totient is φ = 69526000800.

The previous prime is 107117002171. The next prime is 107117002217. The reversal of 107117002191 is 191200711701.

It is a happy number.

It is not a de Polignac number, because 107117002191 - 27 = 107117002063 is a prime.

It is a super-2 number, since 2×1071170021912 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107117002121) 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 15 ways as a sum of consecutive naturals, for example, 1961800 + ... + 2015661.

It is an arithmetic number, because the mean of its divisors is an integer number (9164072448).

Almost surely, 2107117002191 is an apocalyptic number.

107117002191 is a deficient number, since it is larger than the sum of its proper divisors (39508156977).

107117002191 is a wasteful number, since it uses less digits than its factorization.

107117002191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977702.

The product of its (nonzero) digits is 882, while the sum is 30.

Adding to 107117002191 its reverse (191200711701), we get a palindrome (298317713892).

The spelling of 107117002191 in words is "one hundred seven billion, one hundred seventeen million, two thousand, one hundred ninety-one".

Divisors: 1 3 47 141 191 573 8977 26931 3977461 11932383 186940667 560822001 759695051 2279085153 35705667397 107117002191