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102011220102 = 231117731379091
BaseRepresentation
bin101111100000001010…
…1111011000010000110
3100202022100002220120010
41133000111323002012
53132404333020402
6114510250251050
710240635030651
oct1370025730206
9322270086503
10102011220102
113a298746580
121792b426a86
1398093b4acc
144d1a1da898
1529c0ab6a6c
hex17c057b086

102011220102 has 128 divisors (see below), whose sum is σ = 240660730368. Its totient is φ = 28482969600.

The previous prime is 102011220083. The next prime is 102011220109. The reversal of 102011220102 is 201022110201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011220109) 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 63 ways as a sum of consecutive naturals, for example, 11216577 + ... + 11225667.

It is an arithmetic number, because the mean of its divisors is an integer number (1880161956).

Almost surely, 2102011220102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102011220102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120330365184).

102011220102 is an abundant number, since it is smaller than the sum of its proper divisors (138649510266).

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

102011220102 is a wasteful number, since it uses less digits than its factorization.

102011220102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9334.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102011220102 its reverse (201022110201), we get a palindrome (303033330303).

The spelling of 102011220102 in words is "one hundred two billion, eleven million, two hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 73 102 137 146 187 219 274 374 411 438 561 803 822 1122 1241 1507 1606 2329 2409 2482 3014 3723 4521 4658 4818 6987 7446 9042 9091 10001 13651 13974 18182 20002 25619 27273 27302 30003 40953 51238 54546 60006 76857 81906 100001 110011 153714 154547 170017 200002 220022 300003 309094 330033 340034 463641 510051 600006 660066 663643 927282 1020102 1245467 1327286 1700017 1870187 1990929 2490934 3400034 3736401 3740374 3981858 5100051 5610561 7300073 7472802 10200102 11221122 11281931 13700137 14600146 21172939 21900219 22563862 27400274 33845793 41100411 42345878 43800438 63518817 67691586 82200822 90919091 124101241 127037634 181838182 232902329 248202482 272757273 372303723 465804658 545514546 698706987 744607446 1000110001 1397413974 1545624547 2000220002 3000330003 3091249094 4636873641 6000660006 9273747282 17001870017 34003740034 51005610051 102011220102