Search a number
-
+
121420301024 = 25113133133617
BaseRepresentation
bin111000100010100110…
…1101100001011100000
3102121101222201101020002
41301011031230023200
53442132044113044
6131440230235132
711525623346501
oct1610515541340
9377358641202
10121420301024
114754865a320
121b6474b5aa8
13b5b0523289
145c3bc20ba8
153259a0a74e
hex1c4536c2e0

121420301024 has 96 divisors (see below), whose sum is σ = 270011169792. Its totient is φ = 53247744000.

The previous prime is 121420301011. The next prime is 121420301027. The reversal of 121420301024 is 420103024121.

121420301024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 121420300987 and 121420301005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121420301027) 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, 3595064 + ... + 3628680.

It is an arithmetic number, because the mean of its divisors is an integer number (2812616352).

Almost surely, 2121420301024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121420301024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135005584896).

121420301024 is an abundant number, since it is smaller than the sum of its proper divisors (148590868768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121420301024 is a wasteful number, since it uses less digits than its factorization.

121420301024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34000 (or 33992 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 121420301024 its reverse (420103024121), we get a palindrome (541523325145).

The spelling of 121420301024 in words is "one hundred twenty-one billion, four hundred twenty million, three hundred one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 331 341 352 496 662 682 992 1324 1364 2648 2728 3641 5296 5456 7282 10261 10592 10912 14564 20522 29128 33617 41044 58256 67234 82088 112871 116512 134468 164176 225742 268936 328352 369787 451484 537872 739574 902968 1042127 1075744 1479148 1805936 2084254 2958296 3611872 4168508 5916592 8337016 11127227 11463397 11833184 16674032 22254454 22926794 33348064 44508908 45853588 89017816 91707176 122399497 178035632 183414352 244798994 344944037 356071264 366828704 489597988 689888074 979195976 1379776148 1958391952 2759552296 3794384407 3916783904 5519104592 7588768814 11038209184 15177537628 30355075256 60710150512 121420301024