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343003313121 = 37233894194357
BaseRepresentation
bin1001111110111001001…
…01110011001111100001
31012210100111020200022220
410333130211303033201
521104432322004441
6421323515221253
733531641025150
oct4773445631741
91183314220286
10343003313121
111225154789a7
1256587147829
1326464185711
141285c539597
158dc7b91466
hex4fdc9733e1

343003313121 has 64 divisors (see below), whose sum is σ = 548229427200. Its totient is φ = 186509005056.

The previous prime is 343003313101. The next prime is 343003313131. The reversal of 343003313121 is 121313300343.

It is a happy number.

It is not a de Polignac number, because 343003313121 - 213 = 343003304929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 343003313091 and 343003313100.

It is not an unprimeable number, because it can be changed into a prime (343003313101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78722475 + ... + 78726831.

It is an arithmetic number, because the mean of its divisors is an integer number (8566084800).

Almost surely, 2343003313121 is an apocalyptic number.

It is an amenable number.

343003313121 is a deficient number, since it is larger than the sum of its proper divisors (205226114079).

343003313121 is a wasteful number, since it uses less digits than its factorization.

343003313121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5198.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 343003313121 its reverse (121313300343), we get a palindrome (464316613464).

The spelling of 343003313121 in words is "three hundred forty-three billion, three million, three hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 7 21 23 69 161 389 419 483 1167 1257 2723 2933 4357 8169 8799 8947 9637 13071 26841 28911 30499 62629 67459 91497 100211 162991 187887 202377 300633 488973 701477 1140937 1694873 1825583 2104431 3422811 3748793 5084619 5476749 11246379 11864111 12779081 26241551 35592333 38337243 38982079 41988409 78724653 116946237 125965227 272874553 293918863 710151787 818623659 881756589 2130455361 4971062509 14913187527 16333491101 49000473303 114334437707 343003313121