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101144444241 = 31013597271279
BaseRepresentation
bin101111000110010101…
…1011011110101010001
3100200001221010010121110
41132030223123311101
53124120434203431
6114244244243533
710210311406431
oct1361453336521
9320057103543
10101144444241
1139993446a95
12177290a05a9
1396cb951a99
144c7704c2c1
15296e94e346
hex178cadbd51

101144444241 has 32 divisors (see below), whose sum is σ = 136868659200. Its totient is φ = 66432484800.

The previous prime is 101144444239. The next prime is 101144444249. The reversal of 101144444241 is 142444441101.

It is not a de Polignac number, because 101144444241 - 21 = 101144444239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101144444199 and 101144444208.

It is not an unprimeable number, because it can be changed into a prime (101144444249) 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, 79080240 + ... + 79081518.

It is an arithmetic number, because the mean of its divisors is an integer number (4277145600).

Almost surely, 2101144444241 is an apocalyptic number.

It is an amenable number.

101144444241 is a deficient number, since it is larger than the sum of its proper divisors (35724214959).

101144444241 is a wasteful number, since it uses less digits than its factorization.

101144444241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469.

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 101144444241 its reverse (142444441101), we get a palindrome (243588885342).

The spelling of 101144444241 in words is "one hundred one billion, one hundred forty-four million, four hundred forty-four thousand, two hundred forty-one".

Divisors: 1 3 101 303 359 727 1077 1279 2181 3837 36259 73427 108777 129179 220281 260993 387537 459161 782979 929833 1377483 2789499 26360293 46375261 79080879 93913133 139125783 281739399 333810047 1001430141 33714814747 101144444241