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103131210 = 235713371021
BaseRepresentation
bin1100010010110…
…10100001001010
321012001121102110
412021122201022
5202400144320
614122243150
72361413040
oct611324112
9235047373
10103131210
1153240006
122a6564b6
131849bab0
14d9a8390
1590c25e0
hex625a84a

103131210 has 128 divisors (see below), whose sum is σ = 313173504. Its totient is φ = 21150720.

The previous prime is 103131209. The next prime is 103131211. The reversal of 103131210 is 12131301.

It is an interprime number because it is at equal distance from previous prime (103131209) and next prime (103131211).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103131211) 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 63 ways as a sum of consecutive naturals, for example, 100500 + ... + 101520.

It is an arithmetic number, because the mean of its divisors is an integer number (2446668).

Almost surely, 2103131210 is an apocalyptic number.

103131210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103131210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156586752).

103131210 is an abundant number, since it is smaller than the sum of its proper divisors (210042294).

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

103131210 is a wasteful number, since it uses less digits than its factorization.

103131210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 103131210 is about 10155.3537604556. The cubic root of 103131210 is about 468.9537766451.

Adding to 103131210 its reverse (12131301), we get a palindrome (115262511).

Subtracting from 103131210 its reverse (12131301), we obtain a palindrome (90999909).

The spelling of 103131210 in words is "one hundred three million, one hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 37 39 42 65 70 74 78 91 105 111 130 182 185 195 210 222 259 273 370 390 455 481 518 546 555 777 910 962 1021 1110 1295 1365 1443 1554 2042 2405 2590 2730 2886 3063 3367 3885 4810 5105 6126 6734 7147 7215 7770 10101 10210 13273 14294 14430 15315 16835 20202 21441 26546 30630 33670 35735 37777 39819 42882 50505 66365 71470 75554 79638 92911 101010 107205 113331 132730 185822 188885 199095 214410 226662 264439 278733 377770 398190 464555 491101 528878 557466 566655 793317 929110 982202 1133310 1322195 1393665 1473303 1586634 2455505 2644390 2787330 2946606 3437707 3966585 4911010 6875414 7366515 7933170 10313121 14733030 17188535 20626242 34377070 51565605 103131210