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102032441320 = 2352789914597
BaseRepresentation
bin101111100000110011…
…0110111111111101000
3100202100211001001121011
41133001212313333220
53132430301110240
6114512325153304
710241313304255
oct1370146677750
9322324031534
10102032441320
113a2a9720377
121793655b834
139810905044
144d1cd6242c
1529c28a96ea
hex17c19b7fe8

102032441320 has 32 divisors (see below), whose sum is σ = 229655557800. Its totient is φ = 40798298368.

The previous prime is 102032441311. The next prime is 102032441327. The reversal of 102032441320 is 23144230201.

It can be written as a sum of positive squares in 4 ways, for example, as 95361145636 + 6671295684 = 308806^2 + 81678^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102032441291 and 102032441300.

It is not an unprimeable number, because it can be changed into a prime (102032441327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345739 + ... + 568858.

Almost surely, 2102032441320 is an apocalyptic number.

102032441320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102032441320 is an abundant number, since it is smaller than the sum of its proper divisors (127623116480).

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

102032441320 is a wasteful number, since it uses less digits than its factorization.

102032441320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917397 (or 917393 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 102032441320 its reverse (23144230201), we get a palindrome (125176671521).

The spelling of 102032441320 in words is "one hundred two billion, thirty-two million, four hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2789 5578 11156 13945 22312 27890 55780 111560 914597 1829194 3658388 4572985 7316776 9145970 18291940 36583880 2550811033 5101622066 10203244132 12754055165 20406488264 25508110330 51016220660 102032441320