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123123321030132 = 22341732196591041
BaseRepresentation
bin11011111111101011100001…
…110100000100010111110100
3121010221110210221022201210000
4123333223201310010113310
5112114223030140431012
61113510023422031300
734635236446665243
oct3377534164042764
9533843727281700
10123123321030132
113625a3419a3105
121198615b118530
1353916301aa507
1422592b43a095a
15e37ac06a8ddc
hex6ffae1d045f4

123123321030132 has 60 divisors (see below), whose sum is σ = 323729194587876. Its totient is φ = 40803875159040.

The previous prime is 123123321030131. The next prime is 123123321030133. The reversal of 123123321030132 is 231030123321321.

123123321030132 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 2 + 3 + 321 + 0 + 301 + 32 = 666.

123123321030132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (123123321030131) and next prime (123123321030133).

It can be written as a sum of positive squares in 2 ways, for example, as 86420152507536 + 36703168522596 = 9296244^2 + 6058314^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 123123321030096 and 123123321030105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123123321030131) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1098239469 + ... + 1098351572.

Almost surely, 2123123321030132 is an apocalyptic number.

123123321030132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123123321030132 is an abundant number, since it is smaller than the sum of its proper divisors (200605873557744).

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

123123321030132 is a wasteful number, since it uses less digits than its factorization.

123123321030132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196591230 (or 2196591219 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 123123321030132 its reverse (231030123321321), we get a palindrome (354153444351453).

The spelling of 123123321030132 in words is "one hundred twenty-three trillion, one hundred twenty-three billion, three hundred twenty-one million, thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 173 324 346 519 692 1038 1557 2076 3114 4671 6228 9342 14013 18684 28026 56052 2196591041 4393182082 6589773123 8786364164 13179546246 19769319369 26359092492 39538638738 59307958107 79077277476 118615916214 177923874321 237231832428 355847748642 380010250093 711695497284 760020500186 1140030750279 1520041000372 2280061500558 3420092250837 4560123001116 6840184501674 10260276752511 13680369003348 20520553505022 30780830257533 41041107010044 61561660515066 123123321030132