Search a number
-
+
211383117 = 321117296171
BaseRepresentation
bin11001001100101…
…11001101001101
3112201202101010100
430212113031031
5413103224432
632550401313
75144504211
oct1446271515
9481671110
10211383117
11a93582a0
125a960239
1334a4158a
1420106941
151385707c
hexc99734d

211383117 has 96 divisors (see below), whose sum is σ = 376047360. Its totient is φ = 112896000.

The previous prime is 211383103. The next prime is 211383121. The reversal of 211383117 is 711383112.

It is a happy number.

It is not a de Polignac number, because 211383117 - 28 = 211382861 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211383157) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2977192 + ... + 2977262.

It is an arithmetic number, because the mean of its divisors is an integer number (3917160).

Almost surely, 2211383117 is an apocalyptic number.

It is an amenable number.

211383117 is a deficient number, since it is larger than the sum of its proper divisors (164664243).

211383117 is a wasteful number, since it uses less digits than its factorization.

211383117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 192 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 211383117 is about 14539.0204965809. The cubic root of 211383117 is about 595.6942835886.

The spelling of 211383117 in words is "two hundred eleven million, three hundred eighty-three thousand, one hundred seventeen".

Divisors: 1 3 9 11 17 29 33 51 61 71 87 99 153 183 187 213 261 319 493 549 561 639 671 781 957 1037 1207 1479 1683 1769 2013 2059 2343 2871 3111 3621 4331 4437 5307 5423 6039 6177 7029 9333 10863 11407 12993 13277 15921 16269 18531 19459 22649 30073 34221 35003 38979 39831 47641 48807 58377 67947 73627 90219 102663 105009 119493 125599 142923 175131 203841 220881 270657 315027 330803 376797 385033 428769 662643 809897 992409 1130391 1155099 1381589 2135183 2429691 2977227 3465297 4144767 6405549 7289073 12434301 19216647 23487013 70461039 211383117