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117121901 = 1321136133
BaseRepresentation
bin1101111101100…
…10001101101101
322011101102001012
412332302031231
5214440400101
615342155005
72621343161
oct676621555
9264342035
10117121901
1160126466
1233282a65
131b359c00
14117aaca1
15a437bbb
hex6fb236d

117121901 has 12 divisors (see below), whose sum is σ = 127967508. Its totient is φ = 107138304.

The previous prime is 117121889. The next prime is 117121913. The reversal of 117121901 is 109121711.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (117121889) and next prime (117121913).

It can be written as a sum of positive squares in 6 ways, for example, as 18913801 + 98208100 = 4349^2 + 9910^2 .

It is not a de Polignac number, because 117121901 - 214 = 117105517 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117121951) 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 11 ways as a sum of consecutive naturals, for example, 16031 + ... + 22163.

It is an arithmetic number, because the mean of its divisors is an integer number (10663959).

Almost surely, 2117121901 is an apocalyptic number.

It is an amenable number.

117121901 is a deficient number, since it is larger than the sum of its proper divisors (10845607).

117121901 is a wasteful number, since it uses less digits than its factorization.

117121901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6272 (or 6259 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 23.

The square root of 117121901 is about 10822.2872351458. The cubic root of 117121901 is about 489.2671273820.

The spelling of 117121901 in words is "one hundred seventeen million, one hundred twenty-one thousand, nine hundred one".

Divisors: 1 13 113 169 1469 6133 19097 79729 693029 1036477 9009377 117121901