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102342412120 = 235133735031049
BaseRepresentation
bin101111101010000010…
…1010100011101011000
3100210011102022012121011
41133110011110131120
53134044124141440
6115003201023304
710252066102234
oct1372405243530
9323142265534
10102342412120
113a448694a93
1217a02324b34
13985cbb4310
144d4c1ad5c4
1529debd79ea
hex17d4154758

102342412120 has 128 divisors (see below), whose sum is σ = 249380208000. Its totient is φ = 37575880704.

The previous prime is 102342412111. The next prime is 102342412129. The reversal of 102342412120 is 21214243201.

It is an interprime number because it is at equal distance from previous prime (102342412111) and next prime (102342412129).

It is a junction number, because it is equal to n+sod(n) for n = 102342412091 and 102342412100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102342412129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97561356 + ... + 97562404.

It is an arithmetic number, because the mean of its divisors is an integer number (1948282875).

Almost surely, 2102342412120 is an apocalyptic number.

102342412120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102342412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124690104000).

102342412120 is an abundant number, since it is smaller than the sum of its proper divisors (147037795880).

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

102342412120 is a wasteful number, since it uses less digits than its factorization.

102342412120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 102342412120 its reverse (21214243201), we get a palindrome (123556655321).

The spelling of 102342412120 in words is "one hundred two billion, three hundred forty-two million, four hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 373 503 520 746 1006 1049 1492 1865 2012 2098 2515 2984 3730 4024 4196 4849 5030 5245 6539 7460 8392 9698 10060 10490 13078 13637 14920 19396 20120 20980 24245 26156 27274 32695 38792 41960 48490 52312 54548 65390 68185 96980 109096 130780 136370 187619 193960 261560 272740 375238 391277 527647 545480 750476 782554 938095 1055294 1500952 1565108 1876190 1956385 2110588 2439047 2638235 3130216 3752380 3912770 4221176 4878094 5086601 5276470 6859411 7504760 7825540 9756188 10173202 10552940 12195235 13718822 15651080 19512376 20346404 21105880 24390470 25433005 27437644 34297055 40692808 48780940 50866010 54875288 68594110 97561880 101732020 137188220 196812331 203464040 274376440 393624662 787249324 984061655 1574498648 1968123310 2558560303 3936246620 5117120606 7872493240 10234241212 12792801515 20468482424 25585603030 51171206060 102342412120