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102130120 = 23523313581
BaseRepresentation
bin1100001011001…
…10000111001000
321010011202012001
412011212013020
5202121130440
614045000344
72350043311
oct605460710
9233152161
10102130120
1152716964
122a2530b4
131820b231
14d7c7608
158e75b9a
hex61661c8

102130120 has 64 divisors (see below), whose sum is σ = 247587840. Its totient is φ = 37804800.

The previous prime is 102130103. The next prime is 102130123. The reversal of 102130120 is 21031201.

It is a super-2 number, since 2×1021301202 = 20861122822428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102130097 and 102130106.

It is not an unprimeable number, because it can be changed into a prime (102130123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26730 + ... + 30310.

It is an arithmetic number, because the mean of its divisors is an integer number (3868560).

Almost surely, 2102130120 is an apocalyptic number.

102130120 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 102130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123793920).

102130120 is an abundant number, since it is smaller than the sum of its proper divisors (145457720).

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

102130120 is a wasteful number, since it uses less digits than its factorization.

102130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 102130120 is about 10105.9447851252. The cubic root of 102130120 is about 467.4314692648.

Adding to 102130120 its reverse (21031201), we get a palindrome (123161321).

The spelling of 102130120 in words is "one hundred two million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 31 40 46 62 92 115 124 155 184 230 248 310 460 620 713 920 1240 1426 2852 3565 3581 5704 7130 7162 14260 14324 17905 28520 28648 35810 71620 82363 111011 143240 164726 222022 329452 411815 444044 555055 658904 823630 888088 1110110 1647260 2220220 2553253 3294520 4440440 5106506 10213012 12766265 20426024 25532530 51065060 102130120