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102312313110 = 2335727733357
BaseRepresentation
bin101111101001001001…
…0100000000100010110
3100210002022200000112000
41133102102200010112
53134013423004420
6115000203540130
710251252212100
oct1372222400426
9323068600460
10102312313110
113a4326a7177
12179b422a646
1398568a6257
144d481b6570
1529dc23e690
hex17d24a0116

102312313110 has 96 divisors (see below), whose sum is σ = 317377012320. Its totient is φ = 23385668544.

The previous prime is 102312313091. The next prime is 102312313121. The reversal of 102312313110 is 11313213201.

102312313110 is a `hidden beast` number, since 10 + 2 + 312 + 31 + 311 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3853449 + ... + 3879908.

It is an arithmetic number, because the mean of its divisors is an integer number (3306010545).

Almost surely, 2102312313110 is an apocalyptic number.

102312313110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102312313110 is an abundant number, since it is smaller than the sum of its proper divisors (215064699210).

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

102312313110 is a wasteful number, since it uses less digits than its factorization.

102312313110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7733387 (or 7733374 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102312313110 its reverse (11313213201), we get a palindrome (113625526311).

Subtracting from 102312313110 its reverse (11313213201), we obtain a palindrome (90999099909).

The spelling of 102312313110 in words is "one hundred two billion, three hundred twelve million, three hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 378 441 490 630 735 882 945 1323 1470 1890 2205 2646 4410 6615 13230 7733357 15466714 23200071 38666785 46400142 54133499 69600213 77333570 108266998 116000355 139200426 162400497 208800639 232000710 270667495 324800994 348001065 378934493 417601278 487201491 541334990 696002130 757868986 812002485 974402982 1044003195 1136803479 1461604473 1624004970 1894672465 2088006390 2273606958 2436007455 2923208946 3410410437 3789344930 4872014910 5684017395 6820820874 7308022365 10231231311 11368034790 14616044730 17052052185 20462462622 34104104370 51156156555 102312313110