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102202312212 = 2232711132836117
BaseRepresentation
bin101111100101110111…
…0111000011000010100
3100202210122200101122200
41133023232320120110
53133302242442322
6114541234124500
710245445214550
oct1371356703024
9322718611580
10102202312212
113a3865a4940
1217983420730
139839b70670
144d37740860
1529d27618ac
hex17cbbb8614

102202312212 has 144 divisors (see below), whose sum is σ = 346868575872. Its totient is φ = 24504042240.

The previous prime is 102202312153. The next prime is 102202312217. The reversal of 102202312212 is 212213202201.

102202312212 is a `hidden beast` number, since 1 + 0 + 220 + 231 + 2 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202312217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1382023 + ... + 1454094.

Almost surely, 2102202312212 is an apocalyptic number.

102202312212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102202312212 is an abundant number, since it is smaller than the sum of its proper divisors (244666263660).

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

102202312212 is a wasteful number, since it uses less digits than its factorization.

102202312212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836158 (or 2836153 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102202312212 its reverse (212213202201), we get a palindrome (314415514413).

It can be divided in two parts, 102202 and 312212, that added together give a palindrome (414414).

The spelling of 102202312212 in words is "one hundred two billion, two hundred two million, three hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 364 396 429 462 468 546 572 693 819 858 924 1001 1092 1287 1386 1638 1716 2002 2574 2772 3003 3276 4004 5148 6006 9009 12012 18018 36036 2836117 5672234 8508351 11344468 17016702 19852819 25525053 31197287 34033404 36869521 39705638 51050106 59558457 62394574 73739042 79411276 93591861 102100212 110608563 119116914 124789148 147478084 178675371 187183722 218381009 221217126 238233828 258086647 280775583 331825689 357350742 374367444 405564731 436762018 442434252 516173294 561551166 655143027 663651378 714701484 774259941 811129462 873524036 1032346588 1123102332 1216694193 1310286054 1327302756 1548519882 1622258924 1965429081 2322779823 2433388386 2620572108 2838953117 3097039764 3650082579 3930858162 4645559646 4866776772 5677906234 7300165158 7861716324 8516859351 9291119292 11355812468 14600330316 17033718702 25550578053 34067437404 51101156106 102202312212