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31144322100 = 22352103814407
BaseRepresentation
bin11101000000010110…
…001010010000110100
32222101111112111012010
4131000112022100310
51002240421301400
622150230524220
72151533240613
oct350026122064
988344474163
1031144322100
1112232181181
126052206670
132c24493978
14171640387a
15c24317450
hex74058a434

31144322100 has 36 divisors (see below), whose sum is σ = 90110906144. Its totient is φ = 8305152480.

The previous prime is 31144322047. The next prime is 31144322129. The reversal of 31144322100 is 122344113.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51906904 + ... + 51907503.

Almost surely, 231144322100 is an apocalyptic number.

31144322100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31144322100 is an abundant number, since it is smaller than the sum of its proper divisors (58966584044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31144322100 is a wasteful number, since it uses less digits than its factorization.

31144322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103814424 (or 103814417 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 31144322100 its reverse (122344113), we get a palindrome (31266666213).

The spelling of 31144322100 in words is "thirty-one billion, one hundred forty-four million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 103814407 207628814 311443221 415257628 519072035 622886442 1038144070 1245772884 1557216105 2076288140 2595360175 3114432210 5190720350 6228864420 7786080525 10381440700 15572161050 31144322100