Search a number
-
+
121323102030 = 232513503206153
BaseRepresentation
bin111000011111101101…
…0111001111101001110
3102121011012211011021100
41300333122321331032
53441432203231110
6131422435043530
711523333231504
oct1607732717516
9377135734240
10121323102030
11474a8801279
121b61aa405a6
13b596350690
145c2cd5c674
15325120abc0
hex1c3f6b9f4e

121323102030 has 96 divisors (see below), whose sum is σ = 340381694016. Its totient is φ = 29804631552.

The previous prime is 121323102007. The next prime is 121323102041. The reversal of 121323102030 is 30201323121.

121323102030 is a `hidden beast` number, since 121 + 32 + 310 + 203 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121323101994 and 121323102012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485434 + ... + 691586.

It is an arithmetic number, because the mean of its divisors is an integer number (3545642646).

Almost surely, 2121323102030 is an apocalyptic number.

121323102030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121323102030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170190847008).

121323102030 is an abundant number, since it is smaller than the sum of its proper divisors (219058591986).

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

121323102030 is a wasteful number, since it uses less digits than its factorization.

121323102030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206682 (or 206679 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 121323102030 its reverse (30201323121), we get a palindrome (151524425151).

The spelling of 121323102030 in words is "one hundred twenty-one billion, three hundred twenty-three million, one hundred two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 503 585 1006 1170 1509 2515 3018 4527 5030 6539 7545 9054 13078 15090 19617 22635 32695 39234 45270 58851 65390 98085 117702 196170 206153 294255 412306 588510 618459 1030765 1236918 1855377 2061530 2679989 3092295 3710754 5359978 6184590 8039967 9276885 13399945 16079934 18553770 24119901 26799890 40199835 48239802 80399670 103694959 120599505 207389918 241199010 311084877 518474795 622169754 933254631 1036949590 1348034467 1555424385 1866509262 2696068934 3110848770 4044103401 4666273155 6740172335 8088206802 9332546310 12132310203 13480344670 20220517005 24264620406 40441034010 60661551015 121323102030