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101303434101 = 3713311436867
BaseRepresentation
bin101111001011000100…
…1111011101101110101
3100200111000021122200210
41132112021323231311
53124432134342401
6114312124100033
710214251660632
oct1362611735565
9320430248623
10101303434101
1139a65169471
1217772394619
13972587a81c
144c901d7189
15297d8a74d6
hex179627bb75

101303434101 has 16 divisors (see below), whose sum is σ = 137387570688. Its totient is φ = 66383209200.

The previous prime is 101303434081. The next prime is 101303434121. The reversal of 101303434101 is 101434303101.

It is an interprime number because it is at equal distance from previous prime (101303434081) and next prime (101303434121).

It is not a de Polignac number, because 101303434101 - 211 = 101303432053 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101303434121) 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, 647931 + ... + 788936.

It is an arithmetic number, because the mean of its divisors is an integer number (8586723168).

Almost surely, 2101303434101 is an apocalyptic number.

It is an amenable number.

101303434101 is a deficient number, since it is larger than the sum of its proper divisors (36084136587).

101303434101 is a wasteful number, since it uses less digits than its factorization.

101303434101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437272.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101303434101 its reverse (101434303101), we get a palindrome (202737737202).

The spelling of 101303434101 in words is "one hundred one billion, three hundred three million, four hundred thirty-four thousand, one hundred one".

Divisors: 1 3 71 213 331 993 23501 70503 1436867 4310601 102017557 306052671 475602977 1426808931 33767811367 101303434101