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102201111012 = 223711138508251
BaseRepresentation
bin101111100101110101…
…0010011000111100100
3100202210120102100220210
41133023222103013210
53133301441023022
6114541152255420
710245432052530
oct1371352230744
9322716370823
10102201111012
113a385954410
1217982b41570
13983983c9b0
144d3750abc0
1529d25c5a0c
hex17cba931e4

102201111012 has 96 divisors (see below), whose sum is σ = 320182539264. Its totient is φ = 24503760000.

The previous prime is 102201110983. The next prime is 102201111059. The reversal of 102201111012 is 210111102201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4242114 + ... + 4266137.

It is an arithmetic number, because the mean of its divisors is an integer number (3335234784).

Almost surely, 2102201111012 is an apocalyptic number.

102201111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102201111012 is an abundant number, since it is smaller than the sum of its proper divisors (217981428252).

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

102201111012 is a wasteful number, since it uses less digits than its factorization.

102201111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8508289 (or 8508287 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102201111012 its reverse (210111102201), we get a palindrome (312312213213).

It can be divided in two parts, 10 and 2201111012, that added together give a palindrome (2201111022).

The spelling of 102201111012 in words is "one hundred two billion, two hundred one million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 8508251 17016502 25524753 34033004 51049506 59557757 93590761 102099012 110607263 119115514 178673271 187181522 221214526 238231028 280772283 331821789 357346542 374363044 442429052 561544566 655135327 663643578 714693084 774250841 1123089132 1216679893 1310270654 1327287156 1548501682 1965405981 2322752523 2433359786 2620541308 3097003364 3650039679 3930811962 4645505046 4866719572 7300079358 7861623924 8516759251 9291010092 14600158716 17033518502 25550277753 34067037004 51100555506 102201111012