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214916231153 = 131973971031193
BaseRepresentation
bin1100100000101000000…
…0010110111111110001
3202112201212210201221002
43020022000112333301
512010122023344103
6242421532411345
721345552552251
oct3101200267761
9675655721832
10214916231153
1183166678468
123579b016b55
13173606b8560
14a58b13b961
1558ccc3d488
hex320a016ff1

214916231153 has 64 divisors (see below), whose sum is σ = 252146818560. Its totient is φ = 181523939328.

The previous prime is 214916231147. The next prime is 214916231161. The reversal of 214916231153 is 351132619412.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 214916231153 - 220 = 214915182577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214916231183) 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 63 ways as a sum of consecutive naturals, for example, 180147125 + ... + 180148317.

It is an arithmetic number, because the mean of its divisors is an integer number (3939794040).

Almost surely, 2214916231153 is an apocalyptic number.

It is an amenable number.

214916231153 is a deficient number, since it is larger than the sum of its proper divisors (37230587407).

214916231153 is a wasteful number, since it uses less digits than its factorization.

214916231153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498.

The product of its digits is 38880, while the sum is 38.

The spelling of 214916231153 in words is "two hundred fourteen billion, nine hundred sixteen million, two hundred thirty-one thousand, one hundred fifty-three".

Divisors: 1 13 19 73 97 103 247 949 1193 1261 1339 1387 1843 1957 7081 7519 9991 15509 18031 22667 23959 25441 87089 92053 97747 115721 122879 129883 134539 142861 189829 294671 729343 1132157 1504373 1597427 1654691 1749007 1857193 2198699 2334701 2467777 8447633 8970167 9481459 11919263 13857517 21510983 28583087 30351113 109819229 116612171 154950419 160505027 170433173 180147721 226465997 870106199 2086565351 2215631249 2944057961 11311380587 16532017781 214916231153