Search a number
-
+
114120320121 = 36263613971
BaseRepresentation
bin110101001001000011…
…0011110010001111001
3101220120020111221000000
41222102012132101321
53332204300220441
6124232014303213
711150002500363
oct1522206362171
9356506457000
10114120320121
1144441a44655
121a14a7b7b09
13a9b9028152
1457484d7d33
152e7dbd82b6
hex1a9219e479

114120320121 has 56 divisors (see below), whose sum is σ = 172210142016. Its totient is φ = 75589368480.

The previous prime is 114120320107. The next prime is 114120320131. The reversal of 114120320121 is 121023021411.

It is a de Polignac number, because none of the positive numbers 2k-114120320121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114120320094 and 114120320103.

It is not an unprimeable number, because it can be changed into a prime (114120320131) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 117528166 + ... + 117529136.

Almost surely, 2114120320121 is an apocalyptic number.

It is an amenable number.

114120320121 is a deficient number, since it is larger than the sum of its proper divisors (58089821895).

114120320121 is an frugal number, since it uses more digits than its factorization.

114120320121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 114120320121 its reverse (121023021411), we get a palindrome (235143341532).

The spelling of 114120320121 in words is "one hundred fourteen billion, one hundred twenty million, three hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 27 81 243 263 613 729 789 971 1839 2367 2913 5517 7101 8739 16551 21303 26217 49653 63909 78651 148959 161219 191727 235953 255373 446877 483657 595223 707859 766119 1450971 1785669 2298357 4352913 5357007 6895071 13058739 16071021 20685213 39176217 48213063 62055639 117528651 144639189 156543649 186166917 433917567 469630947 1408892841 4226678523 12680035569 38040106707 114120320121