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100706131 = 2233071471
BaseRepresentation
bin1100000000010…
…10011101010011
321000111101211201
412000022131103
5201240044011
613554252031
72331662611
oct600123523
9230441751
10100706131
1151934009
1229887017
1317b30036
14d5366b1
158c93cc1
hex600a753

100706131 has 8 divisors (see below), whose sum is σ = 101556224. Its totient is φ = 99860040.

The previous prime is 100706107. The next prime is 100706143. The reversal of 100706131 is 131607001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100706131 - 27 = 100706003 is a prime.

It is a super-2 number, since 2×1007061312 = 20283449641978322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100706099 and 100706108.

It is not an unprimeable number, because it can be changed into a prime (100766131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67726 + ... + 69196.

It is an arithmetic number, because the mean of its divisors is an integer number (12694528).

Almost surely, 2100706131 is an apocalyptic number.

100706131 is a deficient number, since it is larger than the sum of its proper divisors (850093).

100706131 is a wasteful number, since it uses less digits than its factorization.

100706131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 100706131 is about 10035.2444414673. The cubic root of 100706131 is about 465.2488451085.

The spelling of 100706131 in words is "one hundred million, seven hundred six thousand, one hundred thirty-one".

Divisors: 1 223 307 1471 68461 328033 451597 100706131