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103432242132 = 22325003574279
BaseRepresentation
bin110000001010100001…
…0101100001111010100
3100212222101000022022200
41200111002230033110
53143312123222012
6115303251524500
710321101360222
oct1402502541724
9325871008280
10103432242132
113a95789344a
12180672b9730
1399a4913c4b
145012c21b12
152a557103dc
hex18150ac3d4

103432242132 has 36 divisors (see below), whose sum is σ = 261506437920. Its totient is φ = 34470462672.

The previous prime is 103432242127. The next prime is 103432242143. The reversal of 103432242132 is 231242234301.

103432242132 is a `hidden beast` number, since 10 + 3 + 432 + 2 + 4 + 213 + 2 = 666.

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

It is a super-3 number, since 3×1034322421323 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103432242096 and 103432242105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107032 + ... + 467247.

It is an arithmetic number, because the mean of its divisors is an integer number (7264067720).

Almost surely, 2103432242132 is an apocalyptic number.

103432242132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103432242132 is an abundant number, since it is smaller than the sum of its proper divisors (158074195788).

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

103432242132 is a wasteful number, since it uses less digits than its factorization.

103432242132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579292 (or 579287 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 103432242132 its reverse (231242234301), we get a palindrome (334674476433).

The spelling of 103432242132 in words is "one hundred three billion, four hundred thirty-two million, two hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 5003 10006 15009 20012 30018 45027 60036 90054 180108 574279 1148558 1722837 2297116 3445674 5168511 6891348 10337022 20674044 2873117837 5746235674 8619353511 11492471348 17238707022 25858060533 34477414044 51716121066 103432242132