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103000123332 = 22326146903517
BaseRepresentation
bin101111111101101001…
…0010010011111000100
3100211212020220101202200
41133323102102133010
53141421012421312
6115152334034500
710304303413521
oct1377322223704
9324766811680
10103000123332
113a755980177
1217b66648a30
139936238152
144db169a148
152a2c8050dc
hex17fb4927c4

103000123332 has 36 divisors (see below), whose sum is σ = 264629648556. Its totient is φ = 33770531520.

The previous prime is 103000123327. The next prime is 103000123333. The reversal of 103000123332 is 233321000301.

103000123332 is a `hidden beast` number, since 10 + 300 + 0 + 1 + 23 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46149350976 + 56850772356 = 214824^2 + 238434^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (103000123333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23449563 + ... + 23453954.

It is an arithmetic number, because the mean of its divisors is an integer number (7350823571).

Almost surely, 2103000123332 is an apocalyptic number.

103000123332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103000123332 is an abundant number, since it is smaller than the sum of its proper divisors (161629525224).

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

103000123332 is a wasteful number, since it uses less digits than its factorization.

103000123332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46903588 (or 46903583 counting only the distinct ones).

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

Adding to 103000123332 its reverse (233321000301), we get a palindrome (336321123633).

The spelling of 103000123332 in words is "one hundred three billion, one hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 46903517 93807034 140710551 187614068 281421102 422131653 562842204 844263306 1688526612 2861114537 5722229074 8583343611 11444458148 17166687222 25750030833 34333374444 51500061666 103000123332