Search a number
-
+
311223301232310 = 23352061155925423
BaseRepresentation
bin100011011000011100101001…
…0010100001101011010110110
31111210221122201222021012022000
41012300321102110031122312
5311243040310103413220
63021530002200120130
7122361066351061335
oct10660712224153266
91453848658235260
10311223301232310
1190190073a75315
122aaa51b1a66046
1310487301446b5c
1456bd406991d1c
1525ea973e51390
hex11b0e5250d6b6

311223301232310 has 64 divisors (see below), whose sum is σ = 829969084431360. Its totient is φ = 82988852214240.

The previous prime is 311223301232299. The next prime is 311223301232351. The reversal of 311223301232310 is 13232103322113.

311223301232310 is a `hidden beast` number, since 3 + 1 + 1 + 2 + 2 + 330 + 1 + 2 + 323 + 1 + 0 = 666.

It is a super-2 number, since 2×3112233012323102 (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22397742 + ... + 33527681.

It is an arithmetic number, because the mean of its divisors is an integer number (12968266944240).

Almost surely, 2311223301232310 is an apocalyptic number.

311223301232310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

311223301232310 is an abundant number, since it is smaller than the sum of its proper divisors (518745783199050).

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

311223301232310 is a wasteful number, since it uses less digits than its factorization.

311223301232310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55946050 (or 55946044 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 311223301232310 its reverse (13232103322113), we get a palindrome (324455404554423).

The spelling of 311223301232310 in words is "three hundred eleven trillion, two hundred twenty-three billion, three hundred one million, two hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 20611 41222 61833 103055 123666 185499 206110 309165 370998 556497 618330 927495 1112994 1854990 2782485 5564970 55925423 111850846 167776269 279627115 335552538 503328807 559254230 838881345 1006657614 1509986421 1677762690 2516644035 3019972842 5033288070 7549932105 15099864210 1152678893453 2305357786906 3458036680359 5763394467265 6916073360718 10374110041077 11526788934530 17290183401795 20748220082154 31122330123231 34580366803590 51870550205385 62244660246462 103741100410770 155611650616155 311223301232310