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102032343010 = 25131722715793
BaseRepresentation
bin101111100000110011…
…0011111111111100010
3100202100210212001202001
41133001212133333202
53132430234434020
6114512323114214
710241312414533
oct1370146377742
9322323761661
10102032343010
113a2a9663524
121793651296a
13981089c380
144d1cd3868a
1529c288a50a
hex17c199ffe2

102032343010 has 48 divisors (see below), whose sum is σ = 210104687016. Its totient is φ = 35457380352.

The previous prime is 102032342939. The next prime is 102032343019. The reversal of 102032343010 is 10343230201.

It can be written as a sum of positive squares in 12 ways, for example, as 2126408769 + 99905934241 = 46113^2 + 316079^2 .

It is a super-2 number, since 2×1020323430102 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102032343019) 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 23 ways as a sum of consecutive naturals, for example, 1320327 + ... + 1395466.

Almost surely, 2102032343010 is an apocalyptic number.

102032343010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102032343010 is an abundant number, since it is smaller than the sum of its proper divisors (108072344006).

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

102032343010 is a wasteful number, since it uses less digits than its factorization.

102032343010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715847 (or 2715830 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 102032343010 its reverse (10343230201), we get a palindrome (112375573211).

The spelling of 102032343010 in words is "one hundred two billion, thirty-two million, three hundred forty-three thousand, ten".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 289 442 578 1105 1445 2210 2890 3757 7514 18785 37570 2715793 5431586 13578965 27157930 35305309 46168481 70610618 92336962 176526545 230842405 353053090 461684810 600190253 784864177 1200380506 1569728354 3000951265 3924320885 6001902530 7848641770 10203234301 20406468602 51016171505 102032343010