Search a number
-
+
121042221232023 = 32713199774007361
BaseRepresentation
bin11011100001011001010110…
…100110010110111110010111
3120212120112010111220021102200
4123201121112212112332113
5111331123432113411043
61105234010114535543
734332004036403130
oct3341312646267627
9525515114807380
10121042221232023
1135627799359693
12116aa962b975b3
135270303a01530
1421c6690a8ac87
15ded8bc8b67d3
hex6e1656996f97

121042221232023 has 48 divisors (see below), whose sum is σ = 215293928705856. Its totient is φ = 63814474321920.

The previous prime is 121042221232021. The next prime is 121042221232039. The reversal of 121042221232023 is 320232122240121.

121042221232023 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 422 + 2 + 1 + 232 + 0 + 2 + 3 = 666.

It is not a de Polignac number, because 121042221232023 - 21 = 121042221232021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121042221232021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35368138 + ... + 38639223.

It is an arithmetic number, because the mean of its divisors is an integer number (4485290181372).

Almost surely, 2121042221232023 is an apocalyptic number.

121042221232023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

121042221232023 is a deficient number, since it is larger than the sum of its proper divisors (94251707473833).

121042221232023 is a wasteful number, since it uses less digits than its factorization.

121042221232023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74009384 (or 74009381 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 121042221232023 its reverse (320232122240121), we get a palindrome (441274343472144).

The spelling of 121042221232023 in words is "one hundred twenty-one trillion, forty-two billion, two hundred twenty-one million, two hundred thirty-two thousand, twenty-three".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 1997 5991 13979 17973 25961 41937 77883 125811 181727 233649 545181 1635543 74007361 222022083 518051527 666066249 962095693 1554154581 2886287079 4662463743 6734669851 8658861237 20204009553 60612028659 147792699917 443378099751 1034548899419 1330134299253 1921305098921 3103646698257 5763915296763 9310940094771 13449135692447 17291745890289 40347407077341 121042221232023