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102222021220 = 2251119101242129
BaseRepresentation
bin101111100110011101…
…0000100001001100100
3100202212000202201022221
41133030322010021210
53133322314134340
6114543220402124
710246104562324
oct1371472041144
9322760681287
10102222021220
113a396736580
1217989b46344
139840c814b7
144d3a1d1284
1529d435644a
hex17cce84264

102222021220 has 96 divisors (see below), whose sum is σ = 248948380800. Its totient is φ = 34866432000.

The previous prime is 102222021191. The next prime is 102222021221. The reversal of 102222021220 is 22120222201.

Adding to 102222021220 its reverse (22120222201), we get a palindrome (124342243421).

It is a junction number, because it is equal to n+sod(n) for n = 102222021194 and 102222021203.

It is not an unprimeable number, because it can be changed into a prime (102222021221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301116 + ... + 543244.

It is an arithmetic number, because the mean of its divisors is an integer number (2593212300).

Almost surely, 2102222021220 is an apocalyptic number.

102222021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102222021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124474190400).

102222021220 is an abundant number, since it is smaller than the sum of its proper divisors (146726359580).

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

102222021220 is a wasteful number, since it uses less digits than its factorization.

102222021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242269 (or 242267 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The spelling of 102222021220 in words is "one hundred two billion, two hundred twenty-two million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 101 110 190 202 209 220 380 404 418 505 836 1010 1045 1111 1919 2020 2090 2222 3838 4180 4444 5555 7676 9595 11110 19190 21109 22220 38380 42218 84436 105545 211090 242129 422180 484258 968516 1210645 2421290 2663419 4600451 4842580 5326838 9200902 10653676 13317095 18401804 23002255 24455029 26634190 46004510 48910058 50604961 53268380 92009020 97820116 101209922 122275145 202419844 244550290 253024805 269005319 464645551 489100580 506049610 538010638 929291102 1012099220 1076021276 1345026595 1858582204 2323227755 2690053190 4646455510 5111101061 5380106380 9292911020 10222202122 20444404244 25555505305 51111010610 102222021220