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102202020112 = 2417271311303
BaseRepresentation
bin101111100101110110…
…1110001000100010000
3100202210122010112222011
41133023231301010100
53133302204120422
6114541223552304
710245442560133
oct1371355610420
9322718115864
10102202020112
113a386415435
12179832bb694
139839a9a71a
144d376a621a
1529d2705077
hex17cbb71110

102202020112 has 60 divisors (see below), whose sum is σ = 213312972096. Its totient is φ = 47417520640.

The previous prime is 102202020073. The next prime is 102202020127. The reversal of 102202020112 is 211020202201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102202020092 and 102202020101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172653 + ... + 483955.

Almost surely, 2102202020112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102202020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106656486048).

102202020112 is an abundant number, since it is smaller than the sum of its proper divisors (111110951984).

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

102202020112 is a wasteful number, since it uses less digits than its factorization.

102202020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311416 (or 311393 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102202020112 its reverse (211020202201), we get a palindrome (313222222313).

The spelling of 102202020112 in words is "one hundred two billion, two hundred two million, twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 71 136 142 272 284 289 568 578 1136 1156 1207 2312 2414 4624 4828 9656 19312 20519 41038 82076 164152 311303 328304 622606 1245212 2490424 4980848 5292151 10584302 21168604 22102513 42337208 44205026 84674416 88410052 89966567 176820104 179933134 353640208 359866268 375742721 719732536 751485442 1439465072 1502970884 3005941768 6011883536 6387626257 12775252514 25550505028 51101010056 102202020112