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102032132244 = 223717974091801
BaseRepresentation
bin101111100000110010…
…1101100100010010100
3100202100210110100121220
41133001211230202110
53132430211212434
6114512314410340
710241310546210
oct1370145544224
9322323410556
10102032132244
113a2a952a139
12179364309b0
139810827463
144d1ccc1940
1529c2847d49
hex17c196c894

102032132244 has 192 divisors, whose sum is σ = 291934379520. Its totient is φ = 27072921600.

The previous prime is 102032132233. The next prime is 102032132287. The reversal of 102032132244 is 442231230201.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 56652144 + ... + 56653944.

It is an arithmetic number, because the mean of its divisors is an integer number (1520491560).

Almost surely, 2102032132244 is an apocalyptic number.

102032132244 is a gapful number since it is divisible by the number (14) 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 102032132244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145967189760).

102032132244 is an abundant number, since it is smaller than the sum of its proper divisors (189902247276).

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

102032132244 is a wasteful number, since it uses less digits than its factorization.

102032132244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 102032132244 its reverse (442231230201), we get a palindrome (544263362445).

The spelling of 102032132244 in words is "one hundred two billion, thirty-two million, one hundred thirty-two thousand, two hundred forty-four".