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102120202212 = 223711483105871
BaseRepresentation
bin101111100011011010…
…1101001111111100100
3100202120221011202220120
41133012311221333210
53133120232432322
6114525142201540
710243430253030
oct1370665517744
9322527152816
10102120202212
113a344212436
121795ba232b0
139825b51a72
144d2a8891c0
1529ca442a5c
hex17c6d69fe4

102120202212 has 48 divisors (see below), whose sum is σ = 272346826752. Its totient is φ = 29174384160.

The previous prime is 102120202187. The next prime is 102120202213. The reversal of 102120202212 is 212202021201.

It is a junction number, because it is equal to n+sod(n) for n = 102120202191 and 102120202200.

It is not an unprimeable number, because it can be changed into a prime (102120202213) 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 15 ways as a sum of consecutive naturals, for example, 911637 + ... + 1017507.

It is an arithmetic number, because the mean of its divisors is an integer number (5673892224).

Almost surely, 2102120202212 is an apocalyptic number.

102120202212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102120202212 is an abundant number, since it is smaller than the sum of its proper divisors (170226624540).

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

102120202212 is a wasteful number, since it uses less digits than its factorization.

102120202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117368 (or 117366 counting only the distinct ones).

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

Adding to 102120202212 its reverse (212202021201), we get a palindrome (314322223413).

The spelling of 102120202212 in words is "one hundred two billion, one hundred twenty million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 11483 22966 34449 45932 68898 80381 105871 137796 160762 211742 241143 317613 321524 423484 482286 635226 741097 964572 1270452 1482194 2223291 2964388 4446582 8893164 1215716693 2431433386 3647150079 4862866772 7294300158 8510016851 14588600316 17020033702 25530050553 34040067404 51060101106 102120202212