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123130021032 = 233253166919333
BaseRepresentation
bin111001010101100011…
…1110000010010101000
3102202211010212011011100
41302223013300102220
54004132241133112
6132322023401400
711616163624104
oct1625307602250
9382733764140
10123130021032
1148245761267
121ba43bb3260
13b7c37c3b15
145d60d16904
153309b7e2dc
hex1cab1f04a8

123130021032 has 96 divisors (see below), whose sum is σ = 339990323400. Its totient is φ = 40242728448.

The previous prime is 123130020977. The next prime is 123130021039. The reversal of 123130021032 is 230120031321.

123130021032 is a `hidden beast` number, since 123 + 1 + 300 + 210 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 123120984996 + 9036036 = 350886^2 + 3006^2 .

It is a super-2 number, since 2×1231300210322 (a number of 23 digits) contains 22 as substring.

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 = 123130020996 and 123130021014.

It is not an unprimeable number, because it can be changed into a prime (123130021039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6359238 + ... + 6378570.

Almost surely, 2123130021032 is an apocalyptic number.

123130021032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123130021032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169995161700).

123130021032 is an abundant number, since it is smaller than the sum of its proper divisors (216860302368).

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

123130021032 is a wasteful number, since it uses less digits than its factorization.

123130021032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21067 (or 21060 counting only the distinct ones).

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

Adding to 123130021032 its reverse (230120031321), we get a palindrome (353250052353).

The spelling of 123130021032 in words is "one hundred twenty-three billion, one hundred thirty million, twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1669 1908 3338 3816 5007 6676 10014 13352 15021 19333 20028 30042 38666 40056 57999 60084 77332 88457 115998 120168 154664 173997 176914 231996 265371 347994 353828 463992 530742 695988 707656 796113 1024649 1061484 1391976 1592226 2049298 2122968 3073947 3184452 4098596 6147894 6368904 8197192 9221841 12295788 18443682 24591576 32266777 36887364 64533554 73774728 96800331 129067108 193600662 258134216 290400993 387201324 580801986 774402648 1161603972 1710139181 2323207944 3420278362 5130417543 6840556724 10260835086 13681113448 15391252629 20521670172 30782505258 41043340344 61565010516 123130021032