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10343412210 = 2354310973561
BaseRepresentation
bin10011010001000001…
…11111000111110010
3222200211221210010010
421220200333013302
5132140403142320
64430211115350
7514214360505
oct115040770762
928624853103
1010343412210
11442864a75a
122007ba2b56
13c8aba7c71
147019d713c
154080e4ae0
hex26883f1f2

10343412210 has 64 divisors (see below), whose sum is σ = 25634885760. Its totient is φ = 2669345280.

The previous prime is 10343412193. The next prime is 10343412217. The reversal of 10343412210 is 1221434301.

10343412210 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103434122102 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10343412217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103830 + ... + 177390.

It is an arithmetic number, because the mean of its divisors is an integer number (400545090).

Almost surely, 210343412210 is an apocalyptic number.

10343412210 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 10343412210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12817442880).

10343412210 is an abundant number, since it is smaller than the sum of its proper divisors (15291473550).

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

10343412210 is a wasteful number, since it uses less digits than its factorization.

10343412210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73723.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10343412210 its reverse (1221434301), we get a palindrome (11564846511).

The spelling of 10343412210 in words is "ten billion, three hundred forty-three million, four hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 109 129 215 218 258 327 430 545 645 654 1090 1290 1635 3270 4687 9374 14061 23435 28122 46870 70305 73561 140610 147122 220683 367805 441366 735610 1103415 2206830 3163123 6326246 8018149 9489369 15815615 16036298 18978738 24054447 31631230 40090745 47446845 48108894 80181490 94893690 120272235 240544470 344780407 689560814 1034341221 1723902035 2068682442 3447804070 5171706105 10343412210