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414103131222 = 231129223970201
BaseRepresentation
bin1100000011010100111…
…10000101010001010110
31110120212120002200000020
412001222132011101112
523241040400144342
6514123015130010
741626601352444
oct6015236052126
91416776080006
10414103131222
1114a690470650
126830a373906
1330085418cc1
1416085243b94
15ab89aee0ec
hex606a785456

414103131222 has 64 divisors (see below), whose sum is σ = 938845071360. Its totient is φ = 120615264000.

The previous prime is 414103131191. The next prime is 414103131289. The reversal of 414103131222 is 222131301414.

It is a junction number, because it is equal to n+sod(n) for n = 414103131192 and 414103131201.

It is a congruent number.

It is an unprimeable number.

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, 58279 + ... + 911922.

It is an arithmetic number, because the mean of its divisors is an integer number (14669454240).

Almost surely, 2414103131222 is an apocalyptic number.

414103131222 is an abundant number, since it is smaller than the sum of its proper divisors (524741940138).

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

414103131222 is a wasteful number, since it uses less digits than its factorization.

414103131222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970469.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 414103131222 its reverse (222131301414), we get a palindrome (636234432636).

The spelling of 414103131222 in words is "four hundred fourteen billion, one hundred three million, one hundred thirty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 223 319 446 638 669 957 1338 1914 2453 4906 6467 7359 12934 14718 19401 38802 71137 142274 213411 426822 970201 1940402 2910603 5821206 10672211 21344422 28135829 32016633 56271658 64033266 84407487 168814974 216354823 309494119 432709646 618988238 649064469 928482357 1298128938 1856964714 2379903053 4759806106 6274289867 7139709159 12548579734 14279418318 18822869601 37645739202 69017188537 138034377074 207051565611 414103131222