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223213001121 = 321131461157769
BaseRepresentation
bin1100111111100010001…
…0000001100110100001
3210100011002122022200200
43033320202001212201
512124120012013441
6250313113135413
722061266130055
oct3177042014641
9710132568620
10223213001121
1186733a13550
12373156ba569
13180835681b6
14ab36db7c65
155c1630a7b6
hex33f88819a1

223213001121 has 48 divisors (see below), whose sum is σ = 363865582080. Its totient is φ = 130631904000.

The previous prime is 223213001119. The next prime is 223213001153. The reversal of 223213001121 is 121100312322.

223213001121 is a `hidden beast` number, since 22 + 321 + 300 + 1 + 1 + 21 = 666.

It is not a de Polignac number, because 223213001121 - 21 = 223213001119 is a prime.

It is a super-3 number, since 3×2232130011213 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223213001094 and 223213001103.

It is not an unprimeable number, because it can be changed into a prime (223213001521) 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 47 ways as a sum of consecutive naturals, for example, 1335925 + ... + 1493693.

It is an arithmetic number, because the mean of its divisors is an integer number (7580532960).

Almost surely, 2223213001121 is an apocalyptic number.

It is an amenable number.

223213001121 is a deficient number, since it is larger than the sum of its proper divisors (140652580959).

223213001121 is a wasteful number, since it uses less digits than its factorization.

223213001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158278 (or 158275 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 223213001121 its reverse (121100312322), we get a palindrome (344313313443).

The spelling of 223213001121 in words is "two hundred twenty-three billion, two hundred thirteen million, one thousand, one hundred twenty-one".

Divisors: 1 3 9 11 31 33 93 99 279 341 461 1023 1383 3069 4149 5071 14291 15213 42873 45639 128619 157201 157769 471603 473307 1414809 1419921 1735459 4890839 5206377 14672517 15619131 44017551 53799229 72731509 161397687 218194527 484193061 654583581 800046599 2254676779 2400139797 6764030337 7200419391 20292091011 24801444569 74404333707 223213001121