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101134310343 = 31117379774987
BaseRepresentation
bin101111000110000010…
…0110001101111000111
3100200001020001021111220
41132030010301233013
53124110340412333
6114243243131423
710210126311513
oct1361404615707
9320036037456
10101134310343
1139988755270
1217725813b73
1396c98142b1
144c75971143
15296daeb8b3
hex178c131bc7

101134310343 has 64 divisors (see below), whose sum is σ = 160163163648. Its totient is φ = 56060190720.

The previous prime is 101134310279. The next prime is 101134310357. The reversal of 101134310343 is 343013431101.

It is not a de Polignac number, because 101134310343 - 26 = 101134310279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101134310383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20277096 + ... + 20282082.

It is an arithmetic number, because the mean of its divisors is an integer number (2502549432).

Almost surely, 2101134310343 is an apocalyptic number.

101134310343 is a deficient number, since it is larger than the sum of its proper divisors (59028853305).

101134310343 is a wasteful number, since it uses less digits than its factorization.

101134310343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6032.

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

Adding to 101134310343 its reverse (343013431101), we get a palindrome (444147741444).

The spelling of 101134310343 in words is "one hundred one billion, one hundred thirty-four million, three hundred ten thousand, three hundred forty-three".

Divisors: 1 3 11 17 33 37 51 111 187 407 561 629 977 1221 1887 2931 4987 6919 10747 14961 16609 20757 32241 36149 49827 54857 84779 108447 164571 182699 184519 254337 397639 548097 553557 614533 932569 1192917 1843599 2029709 2797707 3136823 4872299 6089127 6759863 9410469 14616897 20279589 34505053 53595289 82829083 103515159 160785867 180275063 248487249 540825189 911119913 1983025693 2733359739 3064676071 5949077079 9194028213 33711436781 101134310343