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100342133 = 3147611129
BaseRepresentation
bin1011111101100…
…01100101110101
320222210220112022
411332301211311
5201141422013
613542402525
72325615443
oct576614565
9228726468
10100342133
1151705591
1229730445
1317a33458
14d47db93
158c21008
hex5fb1975

100342133 has 16 divisors (see below), whose sum is σ = 107612160. Its totient is φ = 93398400.

The previous prime is 100342069. The next prime is 100342141. The reversal of 100342133 is 331243001.

It is a happy number.

It is not a de Polignac number, because 100342133 - 26 = 100342069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100342633) 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 15 ways as a sum of consecutive naturals, for example, 88313 + ... + 89441.

It is an arithmetic number, because the mean of its divisors is an integer number (6725760).

Almost surely, 2100342133 is an apocalyptic number.

It is an amenable number.

100342133 is a deficient number, since it is larger than the sum of its proper divisors (7270027).

100342133 is a wasteful number, since it uses less digits than its factorization.

100342133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 100342133 is about 10017.0920431031. The cubic root of 100342133 is about 464.6876277201.

Adding to 100342133 its reverse (331243001), we get a palindrome (431585134).

It can be divided in two parts, 10034 and 2133, that added together give a cube (12167 = 233).

The spelling of 100342133 in words is "one hundred million, three hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 31 47 61 1129 1457 1891 2867 34999 53063 68869 88877 1644953 2134939 3236843 100342133