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10323030132 = 22323137324799
BaseRepresentation
bin10011001110100110…
…01111000001110100
3222122102121021011100
421213103033001310
5132120143431012
64424202210100
7513546210522
oct114723170164
928572537140
1010323030132
114418099368
1220011b3930
13c868bc96c
146dd00d312
1540641a8dc
hex2674cf074

10323030132 has 72 divisors (see below), whose sum is σ = 27009382400. Its totient is φ = 3320948160.

The previous prime is 10323030121. The next prime is 10323030149. The reversal of 10323030132 is 23103032301.

10323030132 is a `hidden beast` number, since 10 + 323 + 0 + 301 + 32 = 666.

10323030132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103230301322 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 403869 + ... + 428667.

Almost surely, 210323030132 is an apocalyptic number.

10323030132 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 10323030132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13504691200).

10323030132 is an abundant number, since it is smaller than the sum of its proper divisors (16686352268).

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

10323030132 is a wasteful number, since it uses less digits than its factorization.

10323030132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25213 (or 25208 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10323030132 its reverse (23103032301), we get a palindrome (33426062433).

The spelling of 10323030132 in words is "ten billion, three hundred twenty-three million, thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 373 558 746 1116 1119 1492 2238 3357 4476 6714 11563 13428 23126 24799 34689 46252 49598 69378 74397 99196 104067 138756 148794 208134 223191 297588 416268 446382 768769 892764 1537538 2306307 3075076 4612614 6918921 9225228 9250027 13837842 18500054 27675684 27750081 37000108 55500162 83250243 111000324 166500486 286750837 333000972 573501674 860252511 1147003348 1720505022 2580757533 3441010044 5161515066 10323030132