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102212110212 = 223192023122159
BaseRepresentation
bin101111100110001010…
…0010000011110000100
3100202211100010011222120
41133030110100132010
53133312300011322
6114542224125540
710245624413262
oct1371424203604
9322740104876
10102212110212
113a391087263
12179867668b0
13983bbc12b4
144d38b71432
1529d3549a5c
hex17cc510784

102212110212 has 48 divisors (see below), whose sum is σ = 251071027200. Its totient is φ = 32274456480.

The previous prime is 102212110201. The next prime is 102212110223. The reversal of 102212110212 is 212011212201.

It is an interprime number because it is at equal distance from previous prime (102212110201) and next prime (102212110223).

It is a super-3 number, since 3×1022121102123 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102212110191 and 102212110200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4601589 + ... + 4623747.

It is an arithmetic number, because the mean of its divisors is an integer number (5230646400).

Almost surely, 2102212110212 is an apocalyptic number.

102212110212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102212110212 is an abundant number, since it is smaller than the sum of its proper divisors (148858916988).

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

102212110212 is a wasteful number, since it uses less digits than its factorization.

102212110212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42416 (or 42414 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102212110212 its reverse (212011212201), we get a palindrome (314223322413).

The spelling of 102212110212 in words is "one hundred two billion, two hundred twelve million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 20231 22159 40462 44318 60693 66477 80924 88636 121386 132954 242772 265908 384389 421021 768778 842042 1153167 1263063 1537556 1684084 2306334 2526126 4612668 5052252 448298729 896597458 1344896187 1793194916 2689792374 5379584748 8517675851 17035351702 25553027553 34070703404 51106055106 102212110212