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102100133212 = 22721189532093
BaseRepresentation
bin101111100010110100…
…1000110010101011100
3100202112112102011102021
41133011221012111130
53133100113230322
6114523144105524
710243064545600
oct1370551062534
9322475364367
10102100133212
113a333955290
12179551652a4
13982194610c
144d27d43500
1529c87cb4c7
hex17c5a4655c

102100133212 has 72 divisors (see below), whose sum is σ = 229289946480. Its totient is φ = 39332240640.

The previous prime is 102100133209. The next prime is 102100133249. The reversal of 102100133212 is 212331001201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74163 + ... + 457930.

It is an arithmetic number, because the mean of its divisors is an integer number (3184582590).

Almost surely, 2102100133212 is an apocalyptic number.

It is an amenable number.

102100133212 is an abundant number, since it is smaller than the sum of its proper divisors (127189813268).

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

102100133212 is a wasteful number, since it uses less digits than its factorization.

102100133212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532211 (or 532202 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102100133212 its reverse (212331001201), we get a palindrome (314431134413).

The spelling of 102100133212 in words is "one hundred two billion, one hundred million, one hundred thirty-three thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 89 98 154 178 196 308 356 539 623 979 1078 1246 1958 2156 2492 3916 4361 6853 8722 13706 17444 27412 47971 95942 191884 532093 1064186 2128372 3724651 5853023 7449302 11706046 14898604 23412092 26072557 40971161 47356277 52145114 81942322 94712554 104290228 163884644 189425108 286798127 331493939 520919047 573596254 662987878 1041838094 1147192508 1325975756 2083676188 2320457573 3646433329 4640915146 7292866658 9281830292 14585733316 25525033303 51050066606 102100133212