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102212223221112 = 233191731976576967
BaseRepresentation
bin10111001111011000100011…
…010000011011110101111000
3111101220101121120121000220020
4113033120203100123311320
5101344121113121033422
61001215351435530440
730346406114231424
oct2717304320336570
9441811546530806
10102212223221112
112a627a62383094
12b5694b68b9a20
1345057571888a4
141b35152ca9b84
15bc3b93d8695c
hex5cf62341bd78

102212223221112 has 128 divisors (see below), whose sum is σ = 271907641843200. Its totient is φ = 31928065602048.

The previous prime is 102212223221111. The next prime is 102212223221183. The reversal of 102212223221112 is 211122322212201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212223221111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12252453 + ... + 18829419.

It is an arithmetic number, because the mean of its divisors is an integer number (2124278451900).

Almost surely, 2102212223221112 is an apocalyptic number.

102212223221112 is a gapful number since it is divisible by the number (12) 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 102212223221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135953820921600).

102212223221112 is an abundant number, since it is smaller than the sum of its proper divisors (169695418622088).

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

102212223221112 is a wasteful number, since it uses less digits than its factorization.

102212223221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6577365 (or 6577361 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 102212223221112 its reverse (211122322212201), we get a palindrome (313334545433313).

The spelling of 102212223221112 in words is "one hundred two trillion, two hundred twelve billion, two hundred twenty-three million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 173 197 228 346 394 456 519 591 692 788 1038 1182 1384 1576 2076 2364 3287 3743 4152 4728 6574 7486 9861 11229 13148 14972 19722 22458 26296 29944 34081 39444 44916 68162 78888 89832 102243 136324 204486 272648 408972 647539 817944 1295078 1942617 2590156 3885234 5180312 6576967 7770468 13153934 15540936 19730901 26307868 39461802 52615736 78923604 124962373 157847208 249924746 374887119 499849492 749774238 999698984 1137815291 1295662499 1499548476 2275630582 2591324998 2999096952 3413445873 3886987497 4551261164 5182649996 6826891746 7773974994 9102522328 10365299992 13653783492 15547949988 21618490529 24617587481 27307566984 31095899976 43236981058 49235174962 64855471587 73852762443 86473962116 98470349924 129710943174 147705524886 172947924232 196940699848 224149612327 259421886348 295411049772 448299224654 518843772696 590822099544 672448836981 896598449308 1344897673962 1793196898616 2689795347924 4258842634213 5379590695848 8517685268426 12776527902639 17035370536852 25553055805278 34070741073704 51106111610556 102212223221112