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121331104234231 = 31531973463108247
BaseRepresentation
bin11011100101100110011001…
…010111100011101011110111
3120220121010210021020022010211
4123211212121113203223313
5111400342100140443411
61110014423444130251
734361611604404303
oct3345463127435367
9526533707208124
10121331104234231
1135729261276a01
1211736945396987
1352916215c0228
1421d6657584d03
15e061790c5221
hex6e59995e3af7

121331104234231 has 32 divisors (see below), whose sum is σ = 128294102458368. Its totient is φ = 114582842075520.

The previous prime is 121331104234229. The next prime is 121331104234243. The reversal of 121331104234231 is 132432401133121.

It is a cyclic number.

It is not a de Polignac number, because 121331104234231 - 21 = 121331104234229 is a prime.

It is a super-2 number, since 2×1213311042342312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121331104234193 and 121331104234202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121331104234271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1120818550 + ... + 1120926796.

It is an arithmetic number, because the mean of its divisors is an integer number (4009190701824).

Almost surely, 2121331104234231 is an apocalyptic number.

121331104234231 is a deficient number, since it is larger than the sum of its proper divisors (6962998224137).

121331104234231 is a wasteful number, since it uses less digits than its factorization.

121331104234231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111991.

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 121331104234231 its reverse (132432401133121), we get a palindrome (253763505367352).

The spelling of 121331104234231 in words is "one hundred twenty-one trillion, three hundred thirty-one billion, one hundred four million, two hundred thirty-four thousand, two hundred thirty-one".

Divisors: 1 31 53 197 1643 3463 6107 10441 107353 108247 183539 323671 682211 3355657 5689709 5737091 21148541 21324659 36157183 177849821 374859361 661064429 1120872673 1130206927 11620640191 19867546133 35036414737 73847294117 615893930123 2289266117627 3913906588201 121331104234231