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102200102212 = 2213191313112539
BaseRepresentation
bin101111100101110011…
…0011100110101000100
3100202210111112010002211
41133023212130311010
53133301211232322
6114541114513204
710245420351445
oct1371346346504
9322714463084
10102200102212
113a38532549a
1217982735804
139839578780
144d373272cc
1529d2476b77
hex17cb99cd44

102200102212 has 96 divisors (see below), whose sum is σ = 205030425600. Its totient is φ = 44185564800.

The previous prime is 102200102177. The next prime is 102200102233. The reversal of 102200102212 is 212201002201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 102200102192 and 102200102201.

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, 40250839 + ... + 40253377.

It is an arithmetic number, because the mean of its divisors is an integer number (2135733600).

Almost surely, 2102200102212 is an apocalyptic number.

It is an amenable number.

102200102212 is an abundant number, since it is smaller than the sum of its proper divisors (102830323388).

102200102212 is a wasteful number, since it uses less digits than its factorization.

102200102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017 (or 3015 counting only the distinct ones).

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

Adding to 102200102212 its reverse (212201002201), we get a palindrome (314401104413).

The spelling of 102200102212 in words is "one hundred two billion, two hundred million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 4 13 19 26 38 52 76 131 247 262 311 494 524 622 988 1244 1703 2489 2539 3406 4043 4978 5078 5909 6812 8086 9956 10156 11818 16172 23636 32357 33007 40741 48241 64714 66014 76817 81482 96482 129428 132028 153634 162964 192964 307268 332609 529633 627133 665218 774079 789629 1059266 1254266 1330436 1548158 1579258 2118532 2508532 3096316 3158516 4323917 6319571 8647834 10063027 10265177 12639142 15002951 17295668 20126054 20530354 25278284 30005902 40252108 41060708 60011804 82154423 103441399 164308846 195038363 206882798 328617692 390076726 413765596 780153452 1344738187 1965386581 2689476374 3930773162 5378952748 7861546324 25550025553 51100051106 102200102212