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107106485941 = 7132471926341
BaseRepresentation
bin110001111000000001…
…0110100011010110101
3101020110102202020021201
41203300002310122311
53223323230022231
6121112023412501
710511125052260
oct1436002643265
9336412666251
10107106485941
1141472901184
12189118b4131
13a13bbba400
145280bb9cd7
152bbd08a161
hex18f00b46b5

107106485941 has 24 divisors (see below), whose sum is σ = 135367905024. Its totient is φ = 82940495040.

The previous prime is 107106485933. The next prime is 107106485947. The reversal of 107106485941 is 149584601701.

It is not a de Polignac number, because 107106485941 - 23 = 107106485933 is a prime.

It is a super-2 number, since 2×1071064859412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107106485891 and 107106485900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107106485947) 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 23 ways as a sum of consecutive naturals, for example, 907570 + ... + 1018771.

It is an arithmetic number, because the mean of its divisors is an integer number (5640329376).

Almost surely, 2107106485941 is an apocalyptic number.

It is an amenable number.

107106485941 is a deficient number, since it is larger than the sum of its proper divisors (28261419083).

107106485941 is a wasteful number, since it uses less digits than its factorization.

107106485941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926421 (or 1926408 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 107106485941 in words is "one hundred seven billion, one hundred six million, four hundred eighty-five thousand, nine hundred forty-one".

Divisors: 1 7 13 47 91 169 329 611 1183 4277 7943 55601 1926341 13484387 25042433 90538027 175297031 325551629 633766189 1176994351 2278861403 8238960457 15300926563 107106485941