Search a number
-
+
102211221012 = 22319538458393
BaseRepresentation
bin101111100110001000…
…0110111011000010100
3100202211021110000020020
41133030100313120110
53133312033033022
6114542153105140
710245614020665
oct1371420673024
9322737400206
10102211221012
113a39062a18a
12179863b81b0
13983b96c644
144d389bd36c
1529d342135c
hex17cc437614

102211221012 has 48 divisors (see below), whose sum is σ = 255781834560. Its totient is φ = 31668219648.

The previous prime is 102211221011. The next prime is 102211221041. The reversal of 102211221012 is 210122112201.

It is a junction number, because it is equal to n+sod(n) for n = 102211220982 and 102211221000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211221011) 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, 4217113 + ... + 4241280.

It is an arithmetic number, because the mean of its divisors is an integer number (5328788220).

Almost surely, 2102211221012 is an apocalyptic number.

102211221012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102211221012 is an abundant number, since it is smaller than the sum of its proper divisors (153570613548).

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

102211221012 is a wasteful number, since it uses less digits than its factorization.

102211221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8458472 (or 8458470 counting only the distinct ones).

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

Adding to 102211221012 its reverse (210122112201), we get a palindrome (312333333213).

The spelling of 102211221012 in words is "one hundred two billion, two hundred eleven million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 53 57 76 106 114 159 212 228 318 636 1007 2014 3021 4028 6042 12084 8458393 16916786 25375179 33833572 50750358 101500716 160709467 321418934 448294829 482128401 642837868 896589658 964256802 1344884487 1793179316 1928513604 2689768974 5379537948 8517601751 17035203502 25552805253 34070407004 51105610506 102211221012