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102041310 = 235717101283
BaseRepresentation
bin1100001010100…
…00011011011110
321010000020100210
412011100123132
5202110310220
614043033250
72346223350
oct605203336
9233006323
10102041310
1152666168
122a20b826
13181a9997
14d7a30d0
158e596e0
hex61506de

102041310 has 128 divisors (see below), whose sum is σ = 300340224. Its totient is φ = 21657600.

The previous prime is 102041297. The next prime is 102041321. The reversal of 102041310 is 13140201.

It is a happy number.

It is a super-2 number, since 2×1020413102 = 20824857893032200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 360429 + ... + 360711.

It is an arithmetic number, because the mean of its divisors is an integer number (2346408).

Almost surely, 2102041310 is an apocalyptic number.

102041310 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 102041310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150170112).

102041310 is an abundant number, since it is smaller than the sum of its proper divisors (198298914).

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

102041310 is a wasteful number, since it uses less digits than its factorization.

102041310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 102041310 is about 10101.5498810826. The cubic root of 102041310 is about 467.2959407600.

Adding to 102041310 its reverse (13140201), we get a palindrome (115181511).

The spelling of 102041310 in words is "one hundred two million, forty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 101 102 105 119 170 202 210 238 255 283 303 357 505 510 566 595 606 707 714 849 1010 1190 1414 1415 1515 1698 1717 1785 1981 2121 2830 3030 3434 3535 3570 3962 4242 4245 4811 5151 5943 7070 8490 8585 9622 9905 10302 10605 11886 12019 14433 17170 19810 21210 24038 24055 25755 28583 28866 29715 33677 36057 48110 51510 57166 59430 60095 67354 72114 72165 85749 101031 120190 142915 144330 168385 171498 180285 200081 202062 285830 336770 360570 400162 428745 485911 505155 600243 857490 971822 1000405 1010310 1200486 1457733 2000810 2429555 2915466 3001215 3401377 4859110 6002430 6802754 7288665 10204131 14577330 17006885 20408262 34013770 51020655 102041310