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121444104431 = 1329808139863
BaseRepresentation
bin111000100011010100…
…0011111100011101111
3102121110122111201100202
41301012220133203233
53442204142320211
6131442440344115
711526332566256
oct1610650374357
9377418451322
10121444104431
1147560038161
121b65347503b
13b5b5438930
145c4105979d
15325bb5d53b
hex1c46a1f8ef

121444104431 has 16 divisors (see below), whose sum is σ = 135315956160. Its totient is φ = 108220546560.

The previous prime is 121444104421. The next prime is 121444104451. The reversal of 121444104431 is 134401444121.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 121444104431 - 234 = 104264235247 is a prime.

It is a super-2 number, since 2×1214441044312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121444104394 and 121444104403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121444104421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3026606 + ... + 3066468.

It is an arithmetic number, because the mean of its divisors is an integer number (8457247260).

Almost surely, 2121444104431 is an apocalyptic number.

121444104431 is a deficient number, since it is larger than the sum of its proper divisors (13871851729).

121444104431 is a wasteful number, since it uses less digits than its factorization.

121444104431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47986.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 121444104431 its reverse (134401444121), we get a palindrome (255845548552).

The spelling of 121444104431 in words is "one hundred twenty-one billion, four hundred forty-four million, one hundred four thousand, four hundred thirty-one".

Divisors: 1 13 29 377 8081 39863 105053 234349 518219 1156027 3046537 15028351 322132903 4187727739 9341854187 121444104431