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106431431 = 1795471087
BaseRepresentation
bin1100101100000…
…00001111000111
321102021021110212
412112000033013
5204221301211
614321110035
72431436501
oct626001707
9242237425
10106431431
1155094567
122b78831b
1319085ca2
14101c6d71
15952538b
hex65803c7

106431431 has 8 divisors (see below), whose sum is σ = 107320320. Its totient is φ = 105546168.

The previous prime is 106431383. The next prime is 106431467. The reversal of 106431431 is 134134601.

106431431 = T330 + T331 + ... + T876.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106431431 is a prime.

It is a super-2 number, since 2×1064314312 = 22655299009415522, 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 = 106431397 and 106431406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106431631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97370 + ... + 98456.

It is an arithmetic number, because the mean of its divisors is an integer number (13415040).

Almost surely, 2106431431 is an apocalyptic number.

106431431 is a deficient number, since it is larger than the sum of its proper divisors (888889).

106431431 is a wasteful number, since it uses less digits than its factorization.

106431431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813.

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 106431431 is about 10316.5610064595. The cubic root of 106431431 is about 473.9035556003.

The spelling of 106431431 in words is "one hundred six million, four hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 179 547 1087 97913 194573 594589 106431431