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121435314 = 237111320219
BaseRepresentation
bin1110011110011…
…11010010110010
322110111112221020
413033033102302
5222041412224
620014440310
73003116550
oct717172262
9273445836
10121435314
1162602170
1234803096
131c20a320
14121b0bd0
15a9dac79
hex73cf4b2

121435314 has 64 divisors (see below), whose sum is σ = 326108160. Its totient is φ = 29113920.

The previous prime is 121435313. The next prime is 121435343. The reversal of 121435314 is 413534121.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (121435313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4104 + ... + 16115.

It is an arithmetic number, because the mean of its divisors is an integer number (5095440).

Almost surely, 2121435314 is an apocalyptic number.

121435314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

121435314 is an abundant number, since it is smaller than the sum of its proper divisors (204672846).

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

121435314 is a wasteful number, since it uses less digits than its factorization.

121435314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20255.

The product of its digits is 1440, while the sum is 24.

The square root of 121435314 is about 11019.7692353334. The cubic root of 121435314 is about 495.2011752430.

Adding to 121435314 its reverse (413534121), we get a palindrome (534969435).

The spelling of 121435314 in words is "one hundred twenty-one million, four hundred thirty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 6006 20219 40438 60657 121314 141533 222409 262847 283066 424599 444818 525694 667227 788541 849198 1334454 1556863 1577082 1839929 2891317 3113726 3679858 4670589 5519787 5782634 8673951 9341178 11039574 17347902 20239219 40478438 60717657 121435314