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131224423121 = 111717324116831
BaseRepresentation
bin111101000110110010…
…1011100101011010001
3110112201020220101101022
41322031211130223101
54122221423014441
6140141134445225
712323602123031
oct1721545345321
9415636811338
10131224423121
1150719847370
1221522963815
13c4b376a75c
1464cbd558c1
1536305c584b
hex1e8d95cad1

131224423121 has 32 divisors (see below), whose sum is σ = 153092560896. Its totient is φ = 111158784000.

The previous prime is 131224423091. The next prime is 131224423133. The reversal of 131224423121 is 121324422131.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-131224423121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131224423021) 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, 7788176 + ... + 7805006.

It is an arithmetic number, because the mean of its divisors is an integer number (4784142528).

Almost surely, 2131224423121 is an apocalyptic number.

131224423121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131224423121 is a deficient number, since it is larger than the sum of its proper divisors (21868137775).

131224423121 is a wasteful number, since it uses less digits than its factorization.

131224423121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17273.

The product of its digits is 2304, while the sum is 26.

Adding to 131224423121 its reverse (121324422131), we get a palindrome (252548845252).

The spelling of 131224423121 in words is "one hundred thirty-one billion, two hundred twenty-four million, four hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 11 17 173 187 241 1903 2651 2941 4097 16831 32351 41693 45067 185141 286127 458623 708781 2911763 3147397 4056271 7796591 32029393 44618981 49499971 68956607 544499681 701734883 758522677 7719083713 11929493011 131224423121