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101440112241 = 31383972691201
BaseRepresentation
bin101111001111001001…
…1010100011001110001
3100200211112110121212010
41132132103110121301
53130222132042431
6114333445353133
710220531504316
oct1363623243161
9320745417763
10101440112241
113a025331806
12177b01087a9
139747c93b70
144ca4414d0d
15298a8a4846
hex179e4d4671

101440112241 has 64 divisors (see below), whose sum is σ = 149610343680. Its totient is φ = 60759244800.

The previous prime is 101440112237. The next prime is 101440112243. The reversal of 101440112241 is 142211044101.

It is not a de Polignac number, because 101440112241 - 22 = 101440112237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101440112243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84462441 + ... + 84463641.

It is an arithmetic number, because the mean of its divisors is an integer number (2337661620).

Almost surely, 2101440112241 is an apocalyptic number.

It is an amenable number.

101440112241 is a deficient number, since it is larger than the sum of its proper divisors (48170231439).

101440112241 is a wasteful number, since it uses less digits than its factorization.

101440112241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 101440112241 its reverse (142211044101), we get a palindrome (243651156342).

The spelling of 101440112241 in words is "one hundred one billion, four hundred forty million, one hundred twelve thousand, two hundred forty-one".

Divisors: 1 3 13 39 83 97 249 269 291 807 1079 1201 1261 3237 3497 3603 3783 8051 10491 15613 22327 24153 26093 46839 66981 78279 99683 104663 116497 290251 299049 313989 323069 339209 349491 870753 969207 1017627 1295879 1514461 2165719 3887637 4199897 4543383 6497157 9669251 12599691 26814727 28154347 29007753 31337693 80444181 84463041 94013079 125700263 348591451 377100789 407390009 1045774353 1222170027 2601028519 7803085557 33813370747 101440112241