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106993131 = 3717232957
BaseRepresentation
bin1100110000010…
…01010111101011
321110022210222120
412120021113223
5204342240011
614341122323
72436266220
oct630112753
9243283876
10106993131
1155438583
122b9b93a3
131922185b
14102d1947
1595d6a06
hex66095eb

106993131 has 16 divisors (see below), whose sum is σ = 163186944. Its totient is φ = 61082784.

The previous prime is 106993127. The next prime is 106993141. The reversal of 106993131 is 131399601.

It is a happy number.

It is not a de Polignac number, because 106993131 - 22 = 106993127 is a prime.

It is a super-2 number, since 2×1069931312 = 22895060162366322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106993092 and 106993101.

It is not an unprimeable number, because it can be changed into a prime (106993111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34705 + ... + 37661.

It is an arithmetic number, because the mean of its divisors is an integer number (10199184).

Almost surely, 2106993131 is an apocalyptic number.

106993131 is a deficient number, since it is larger than the sum of its proper divisors (56193813).

106993131 is a wasteful number, since it uses less digits than its factorization.

106993131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4690.

The product of its (nonzero) digits is 4374, while the sum is 33.

The square root of 106993131 is about 10343.7484018126. The cubic root of 106993131 is about 474.7357806634.

The spelling of 106993131 in words is "one hundred six million, nine hundred ninety-three thousand, one hundred thirty-one".

Divisors: 1 3 7 21 1723 2957 5169 8871 12061 20699 36183 62097 5094911 15284733 35664377 106993131