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101134022311 = 73417439679
BaseRepresentation
bin101111000110000001…
…1101011011010100111
3100200001012111122102001
41132030003223122213
53124110302203221
6114243233030131
710210124002000
oct1361403533247
9320035448361
10101134022311
1139988578923
12177256b5347
1396c974316a
144c758d81a7
15296da91391
hex178c0eb6a7

101134022311 has 32 divisors (see below), whose sum is σ = 120992256000. Its totient is φ = 84449453760.

The previous prime is 101134022243. The next prime is 101134022317. The reversal of 101134022311 is 113220431101.

It is not a de Polignac number, because 101134022311 - 215 = 101133989543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101134022317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10443970 + ... + 10453648.

It is an arithmetic number, because the mean of its divisors is an integer number (3781008000).

Almost surely, 2101134022311 is an apocalyptic number.

101134022311 is a deficient number, since it is larger than the sum of its proper divisors (19858233689).

101134022311 is an frugal number, since it uses more digits than its factorization.

101134022311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10484 (or 10470 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 101134022311 its reverse (113220431101), we get a palindrome (214354453412).

The spelling of 101134022311 in words is "one hundred one billion, one hundred thirty-four million, twenty-two thousand, three hundred eleven".

Divisors: 1 7 41 49 287 343 743 2009 5201 9679 14063 30463 36407 67753 213241 254849 396839 474271 1492687 2777873 3319897 7191497 10448809 19445111 50340479 136115777 294851377 352383353 2063959639 2466683471 14447717473 101134022311