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102112210010 = 2529212141761
BaseRepresentation
bin101111100011001011…
…1001010110001011010
3100202120101010201200002
41133012113022301122
53133111211210020
6114524255013002
710243302315116
oct1370627126132
9322511121602
10102112210010
113a33a753808
121795920a162
1398242b4055
144d297a8746
1529c98b4975
hex17c65cac5a

102112210010 has 24 divisors (see below), whose sum is σ = 190358544636. Its totient is φ = 39436436480.

The previous prime is 102112209977. The next prime is 102112210019. The reversal of 102112210010 is 10012211201.

It can be written as a sum of positive squares in 6 ways, for example, as 26465758489 + 75646451521 = 162683^2 + 275039^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102112209973 and 102112210000.

It is not an unprimeable number, because it can be changed into a prime (102112210019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6062471 + ... + 6079290.

Almost surely, 2102112210010 is an apocalyptic number.

102112210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102112210010 is a deficient number, since it is larger than the sum of its proper divisors (88246334626).

102112210010 is a wasteful number, since it uses less digits than its factorization.

102112210010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12141826 (or 12141797 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102112210010 its reverse (10012211201), we get a palindrome (112124421211).

The spelling of 102112210010 in words is "one hundred two billion, one hundred twelve million, two hundred ten thousand, ten".

Divisors: 1 2 5 10 29 58 145 290 841 1682 4205 8410 12141761 24283522 60708805 121417610 352111069 704222138 1760555345 3521110690 10211221001 20422442002 51056105005 102112210010