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102003102132 = 22323794678183
BaseRepresentation
bin101111011111111011…
…0111101000110110100
3100202021202211110210120
41132333312331012310
53132400243232012
6114505400251540
710240506030261
oct1367766750664
9322252743716
10102003102132
113a294101408
1217928770bb0
139807801a89
144d190c6268
1529c001158c
hex17bfdbd1b4

102003102132 has 48 divisors (see below), whose sum is σ = 251499171840. Its totient is φ = 32111041248.

The previous prime is 102003102127. The next prime is 102003102133. The reversal of 102003102132 is 231201300201.

102003102132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102003102133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2317288 + ... + 2360895.

It is an arithmetic number, because the mean of its divisors is an integer number (5239566080).

Almost surely, 2102003102132 is an apocalyptic number.

102003102132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102003102132 is an abundant number, since it is smaller than the sum of its proper divisors (149496069708).

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

102003102132 is a wasteful number, since it uses less digits than its factorization.

102003102132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4678292 (or 4678290 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102003102132 its reverse (231201300201), we get a palindrome (333204402333).

The spelling of 102003102132 in words is "one hundred two billion, three million, one hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 79 92 138 158 237 276 316 474 948 1817 3634 5451 7268 10902 21804 4678183 9356366 14034549 18712732 28069098 56138196 107598209 215196418 322794627 369576457 430392836 645589254 739152914 1108729371 1291178508 1478305828 2217458742 4434917484 8500258511 17000517022 25500775533 34001034044 51001551066 102003102132