Search a number
-
+
12084000291 = 32112233179197
BaseRepresentation
bin10110100000100001…
…10011011000100011
31011012011011211002100
423100100303120203
5144222001002131
65315030021443
7605311210356
oct132020633043
934164154070
1012084000291
115141115300
122412aa7883
1311a769593c
14828c4629d
154aad147e6
hex2d0433623

12084000291 has 144 divisors (see below), whose sum is σ = 21033492480. Its totient is φ = 6659452800.

The previous prime is 12084000289. The next prime is 12084000293. The reversal of 12084000291 is 19200048021.

It is an interprime number because it is at equal distance from previous prime (12084000289) and next prime (12084000293).

It is not a de Polignac number, because 12084000291 - 21 = 12084000289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12084000293) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61340005 + ... + 61340201.

It is an arithmetic number, because the mean of its divisors is an integer number (146065920).

Almost surely, 212084000291 is an apocalyptic number.

12084000291 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12084000291 is a deficient number, since it is larger than the sum of its proper divisors (8949492189).

12084000291 is a wasteful number, since it uses less digits than its factorization.

12084000291 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 344 counting only the distinct ones).

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

The spelling of 12084000291 in words is "twelve billion, eighty-four million, two hundred ninety-one", and thus it is an aban number.

Divisors: 1 3 9 11 23 31 33 69 79 93 99 121 197 207 237 253 279 341 363 591 711 713 759 869 1023 1089 1773 1817 2139 2167 2277 2449 2607 2783 3069 3751 4531 5451 6107 6417 6501 7347 7821 7843 8349 9559 11253 13593 15563 16353 18321 19503 19987 22041 23529 23837 25047 26939 28677 33759 40779 46689 49841 54963 56327 59961 67177 70587 71511 80817 86031 86273 140067 140461 149523 168981 171193 179883 201531 214533 219857 242451 258819 296329 357949 421383 448569 482453 506943 513579 548251 604593 619597 659571 738947 776457 888987 1073847 1264149 1447359 1540737 1545071 1644753 1858791 1883123 1978713 2216841 2666961 3221541 3937439 4342077 4635213 4934259 5306983 5576373 5649369 6650523 6815567 11096419 11812317 13905639 15920949 16948107 16995781 20446701 33289257 35436951 43311829 47762847 50987343 58376813 61340103 99867771 122060609 129935487 152962029 175130439 366181827 389806461 525391317 1098545481 1342666699 4028000097 12084000291