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101141340041 = 7234382917623
BaseRepresentation
bin101111000110001111…
…1100101111110001001
3100200001201021102110002
41132030133211332021
53124114140340131
6114244053532345
710210243130330
oct1361437457611
9320051242402
10101141340041
1139991716835
12177280440b5
1396cb105b91
144c76880d17
15296e5396cb
hex178c7e5f89

101141340041 has 32 divisors (see below), whose sum is σ = 123576668160. Its totient is φ = 80892592704.

The previous prime is 101141340029. The next prime is 101141340043. The reversal of 101141340041 is 140043141101.

It is not a de Polignac number, because 101141340041 - 218 = 101141077897 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101141339995 and 101141340022.

It is not an unprimeable number, because it can be changed into a prime (101141340043) 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, 5730356 + ... + 5747978.

It is an arithmetic number, because the mean of its divisors is an integer number (3861770880).

Almost surely, 2101141340041 is an apocalyptic number.

It is an amenable number.

101141340041 is a deficient number, since it is larger than the sum of its proper divisors (22435328119).

101141340041 is a wasteful number, since it uses less digits than its factorization.

101141340041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18525.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 101141340041 its reverse (140043141101), we get a palindrome (241184481142).

The spelling of 101141340041 in words is "one hundred one billion, one hundred forty-one million, three hundred forty thousand, forty-one".

Divisors: 1 7 23 43 161 301 829 989 5803 6923 17623 19067 35647 123361 133469 249529 405329 757789 819881 2837303 5304523 5739167 14609467 17429147 102266269 122004029 336017741 628207081 2352124187 4397449567 14448762863 101141340041