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103205210514 = 2372461761471
BaseRepresentation
bin110000000011110000…
…0101000100110010010
3100212101112210220111020
41200013200220212102
53142331013214024
6115224541500310
710312343546400
oct1400740504622
9325345726436
10103205210514
113a85071820a
1218003271696
139969883b03
144dd0a04470
152a40816979
hex1807828992

103205210514 has 48 divisors (see below), whose sum is σ = 240631243776. Its totient is φ = 29423200800.

The previous prime is 103205210513. The next prime is 103205210551. The reversal of 103205210514 is 415012502301.

It is a happy number.

It is a super-2 number, since 2×1032052105142 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103205210513) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 245202 + ... + 516269.

It is an arithmetic number, because the mean of its divisors is an integer number (5013150912).

Almost surely, 2103205210514 is an apocalyptic number.

103205210514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

103205210514 is an abundant number, since it is smaller than the sum of its proper divisors (137426033262).

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

103205210514 is a wasteful number, since it uses less digits than its factorization.

103205210514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761951 (or 761944 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 103205210514 its reverse (415012502301), we get a palindrome (518217712815).

The spelling of 103205210514 in words is "one hundred three billion, two hundred five million, two hundred ten thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 461 922 1383 2766 3227 6454 9681 19362 22589 45178 67767 135534 761471 1522942 2284413 4568826 5330297 10660594 15990891 31981782 37312079 74624158 111936237 223872474 351038131 702076262 1053114393 2106228786 2457266917 4914533834 7371800751 14743601502 17200868419 34401736838 51602605257 103205210514