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101244242121 = 311103231112889
BaseRepresentation
bin101111001001010100…
…0001000100011001001
3100200022212220101120020
41132102220020203021
53124322011221441
6114302211251053
710212632600361
oct1362250104311
9320285811506
10101244242121
1139a3480a680
12177565a9a89
139716524599
144c863c99a1
1529785b3e66
hex1792a088c9

101244242121 has 32 divisors (see below), whose sum is σ = 148769986560. Its totient is φ = 60733411200.

The previous prime is 101244242063. The next prime is 101244242123. The reversal of 101244242121 is 121242442101.

It is a happy number.

It is not a de Polignac number, because 101244242121 - 214 = 101244225737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101244242091 and 101244242100.

It is not an unprimeable number, because it can be changed into a prime (101244242123) 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, 7848645 + ... + 7861533.

It is an arithmetic number, because the mean of its divisors is an integer number (4649062080).

Almost surely, 2101244242121 is an apocalyptic number.

101244242121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101244242121 is a deficient number, since it is larger than the sum of its proper divisors (47525744439).

101244242121 is a wasteful number, since it uses less digits than its factorization.

101244242121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15317.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 101244242121 its reverse (121242442101), we get a palindrome (222486684222).

The spelling of 101244242121 in words is "one hundred one billion, two hundred forty-four million, two hundred forty-two thousand, one hundred twenty-one".

Divisors: 1 3 11 33 103 309 1133 2311 3399 6933 12889 25421 38667 76263 141779 238033 425337 714099 1327567 2618363 3982701 7855089 14603237 29786479 43809711 89359437 327651269 982953807 3068007337 9204022011 33748080707 101244242121