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1314860121 = 36172792
BaseRepresentation
bin100111001011111…
…0010110001011001
310101122010211000000
41032113302301121
510143101010441
6334250003213
744404061301
oct11627626131
93348124000
101314860121
11615227963
12308416509
1317c53ba53
14c68ac601
157a6782b6
hex4e5f2c59

1314860121 has 63 divisors (see below), whose sum is σ = 2121017871. Its totient is φ = 814567104.

The previous prime is 1314860111. The next prime is 1314860161. The reversal of 1314860121 is 1210684131.

It is a happy number.

The square root of 1314860121 is 36261.

It is a perfect power (a square), and thus also a powerful number.

1314860121 is a `hidden beast` number, since 1 + 31 + 4 + 8 + 601 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1023680025 + 291180096 = 31995^2 + 17064^2 .

It is not a de Polignac number, because 1314860121 - 25 = 1314860089 is a prime.

It is a super-2 number, since 2×13148601212 = 3457714275592269282, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1314860111) 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 62 ways as a sum of consecutive naturals, for example, 16643760 + ... + 16643838.

Almost surely, 21314860121 is an apocalyptic number.

1314860121 is the 36261-st square number.

1314860121 is the 18131-st centered octagonal number.

It is an amenable number.

1314860121 is a deficient number, since it is larger than the sum of its proper divisors (806157750).

1314860121 is an frugal number, since it uses more digits than its factorization.

1314860121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The cubic root of 1314860121 is about 1095.5356583562.

The spelling of 1314860121 in words is "one billion, three hundred fourteen million, eight hundred sixty thousand, one hundred twenty-one".

Divisors: 1 3 9 17 27 51 79 81 153 237 243 289 459 711 729 867 1343 1377 2133 2601 4029 4131 6241 6399 7803 12087 12393 18723 19197 22831 23409 36261 56169 57591 68493 70227 106097 108783 168507 205479 210681 318291 326349 505521 616437 954873 979047 1516563 1803649 1849311 2864619 4549689 5410947 5547933 8593857 16232841 16643799 25781571 48698523 77344713 146095569 438286707 1314860121