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101334013134 = 23172343194379
BaseRepresentation
bin101111001011111111…
…0100101010011001110
3100200120010211020020120
41132113332211103032
53130013001410014
6114315135325410
710215102620424
oct1362776452316
9320503736216
10101334013134
1139a804549a2
1217780680866
13972bcc6223
144c942b7114
1529813e7ba9
hex1797fa54ce

101334013134 has 32 divisors (see below), whose sum is σ = 223919665920. Its totient is φ = 30408842112.

The previous prime is 101334013087. The next prime is 101334013139. The reversal of 101334013134 is 431310433101.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101334013139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21594844 + ... + 21599535.

It is an arithmetic number, because the mean of its divisors is an integer number (6997489560).

Almost surely, 2101334013134 is an apocalyptic number.

101334013134 is an abundant number, since it is smaller than the sum of its proper divisors (122585652786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101334013134 is a wasteful number, since it uses less digits than its factorization.

101334013134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43194424.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 101334013134 its reverse (431310433101), we get a palindrome (532644446235).

The spelling of 101334013134 in words is "one hundred one billion, three hundred thirty-four million, thirteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 17 23 34 46 51 69 102 138 391 782 1173 2346 43194379 86388758 129583137 259166274 734304443 993470717 1468608886 1986941434 2202913329 2980412151 4405826658 5960824302 16889002189 33778004378 50667006567 101334013134