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121141314 = 23277391301
BaseRepresentation
bin1110011100001…
…11100001000010
322102221121122100
413032013201002
5222003010224
620004251230
73000453450
oct716074102
9272847570
10121141314
1162421298
12346a0b16
131c136568
14121359d0
15a97dac9
hex7387842

121141314 has 48 divisors (see below), whose sum is σ = 300605760. Its totient is φ = 34538400.

The previous prime is 121141297. The next prime is 121141327. The reversal of 121141314 is 413141121.

It is a super-3 number, since 3×1211413143 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92464 + ... + 93764.

It is an arithmetic number, because the mean of its divisors is an integer number (6262620).

Almost surely, 2121141314 is an apocalyptic number.

121141314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

121141314 is an abundant number, since it is smaller than the sum of its proper divisors (179464446).

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

121141314 is a wasteful number, since it uses less digits than its factorization.

121141314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2052 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 121141314 is about 11006.4214892943. The cubic root of 121141314 is about 494.8012180106.

Adding to 121141314 its reverse (413141121), we get a palindrome (534282435).

The spelling of 121141314 in words is "one hundred twenty-one million, one hundred forty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 739 1301 1478 2217 2602 3903 4434 5173 6651 7806 9107 10346 11709 13302 15519 18214 23418 27321 31038 46557 54642 81963 93114 163926 961439 1922878 2884317 5768634 6730073 8652951 13460146 17305902 20190219 40380438 60570657 121141314