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102212200212 = 22329304996331
BaseRepresentation
bin101111100110001010…
…0100110011100010100
3100202211100021202102220
41133030110212130110
53133312310401322
6114542230102340
710245625236543
oct1371424463424
9322740252386
10102212200212
113a391138941
12179867aa9b0
13983bc23255
144d38b9615a
1529d356655c
hex17cc526714

102212200212 has 48 divisors (see below), whose sum is σ = 246802584000. Its totient is φ = 32884750080.

The previous prime is 102212200147. The next prime is 102212200217. The reversal of 102212200212 is 212002212201.

It is a junction number, because it is equal to n+sod(n) for n = 102212200191 and 102212200200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212200217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1012887 + ... + 1109217.

It is an arithmetic number, because the mean of its divisors is an integer number (5141720500).

Almost surely, 2102212200212 is an apocalyptic number.

102212200212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102212200212 is an abundant number, since it is smaller than the sum of its proper divisors (144590383788).

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

102212200212 is a wasteful number, since it uses less digits than its factorization.

102212200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99416 (or 99414 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102212200212 its reverse (212002212201), we get a palindrome (314214412413).

The spelling of 102212200212 in words is "one hundred two billion, two hundred twelve million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 3049 6098 9147 12196 18294 36588 88421 96331 176842 192662 265263 288993 353684 385324 530526 577986 1061052 1155972 2793599 5587198 8380797 11174396 16761594 33523188 293713219 587426438 881139657 1174852876 1762279314 3524558628 8517683351 17035366702 25553050053 34070733404 51106100106 102212200212