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100838773197 = 3217659076949
BaseRepresentation
bin101110111101001110…
…1011001000111001101
3100122021121221102202200
41131322131121013031
53123004211220242
6114154044512113
710166610300261
oct1357235310715
9318247842680
10100838773197
1139846949898
121766284b639
139680519946
144c486000a1
152952bc004c
hex177a7591cd

100838773197 has 12 divisors (see below), whose sum is σ = 154224006300. Its totient is φ = 63271387008.

The previous prime is 100838773159. The next prime is 100838773229. The reversal of 100838773197 is 791377838001.

It is a happy number.

100838773197 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 387 + 73 + 197 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29944918116 + 70893855081 = 173046^2 + 266259^2 .

It is not a de Polignac number, because 100838773197 - 27 = 100838773069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100838773127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 329538322 + ... + 329538627.

It is an arithmetic number, because the mean of its divisors is an integer number (12852000525).

Almost surely, 2100838773197 is an apocalyptic number.

100838773197 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

100838773197 is a deficient number, since it is larger than the sum of its proper divisors (53385233103).

100838773197 is a wasteful number, since it uses less digits than its factorization.

100838773197 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659076972 (or 659076969 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 100838773197 in words is "one hundred billion, eight hundred thirty-eight million, seven hundred seventy-three thousand, one hundred ninety-seven".

Divisors: 1 3 9 17 51 153 659076949 1977230847 5931692541 11204308133 33612924399 100838773197