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121641135 = 357111923241
BaseRepresentation
bin1110100000000…
…01100010101111
322110220000021020
413100001202233
5222120004020
620023105223
73004634610
oct720014257
9273800236
10121641135
1162732870
12348a2213
131c27cc05
1412225c07
15aa2bc40
hex74018af

121641135 has 128 divisors (see below), whose sum is σ = 267632640. Its totient is φ = 45619200.

The previous prime is 121641127. The next prime is 121641199. The reversal of 121641135 is 531146121.

It is a happy number.

It is not a de Polignac number, because 121641135 - 23 = 121641127 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 504615 + ... + 504855.

It is an arithmetic number, because the mean of its divisors is an integer number (2090880).

Almost surely, 2121641135 is an apocalyptic number.

121641135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

121641135 is an abundant number, since it is smaller than the sum of its proper divisors (145991505).

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

121641135 is a wasteful number, since it uses less digits than its factorization.

121641135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309.

The product of its digits is 720, while the sum is 24.

The square root of 121641135 is about 11029.1039980590. The cubic root of 121641135 is about 495.4807898757.

Adding to 121641135 its reverse (531146121), we get a palindrome (652787256).

The spelling of 121641135 in words is "one hundred twenty-one million, six hundred forty-one thousand, one hundred thirty-five".

Divisors: 1 3 5 7 11 15 19 21 23 33 35 55 57 69 77 95 105 115 133 161 165 209 231 241 253 285 345 385 399 437 483 627 665 723 759 805 1045 1155 1205 1265 1311 1463 1687 1771 1995 2185 2415 2651 3059 3135 3615 3795 4389 4579 4807 5061 5313 5543 6555 7315 7953 8435 8855 9177 13255 13737 14421 15295 16629 18557 21945 22895 24035 25305 26565 27715 32053 33649 38801 39765 45885 50369 55671 60973 68685 72105 83145 92785 96159 100947 105317 116403 151107 160265 168245 182919 194005 251845 278355 304865 315951 352583 426811 480795 504735 526585 582015 737219 755535 914595 1057749 1158487 1280433 1579755 1762915 2134055 2211657 3475461 3686095 5288745 5792435 6402165 8109409 11058285 17377305 24328227 40547045 121641135