Search a number
-
+
223033121111333 = 133143115132293463
BaseRepresentation
bin110010101101100011110001…
…111101001111110100100101
31002020200202110200120121220102
4302231203301331033310211
5213213133313001030313
62110204000143313445
764656416441365361
oct6255436175176445
91066622420517812
10223033121111333
11650798a7451245
1221021390bab885
13975ac18c74b30
143d10c099142a1
151abb90b2aba58
hexcad8f1f4fd25

223033121111333 has 64 divisors (see below), whose sum is σ = 254075960033280. Its totient is φ = 194316742368000.

The previous prime is 223033121111287. The next prime is 223033121111431. The reversal of 223033121111333 is 333111121330322.

It is a cyclic number.

It is not a de Polignac number, because 223033121111333 - 222 = 223033116917029 is a prime.

It is a super-2 number, since 2×2230331211113332 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 223033121111296 and 223033121111305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223033121111833) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64404595760 + ... + 64404599222.

It is an arithmetic number, because the mean of its divisors is an integer number (3969936875520).

Almost surely, 2223033121111333 is an apocalyptic number.

It is an amenable number.

223033121111333 is a deficient number, since it is larger than the sum of its proper divisors (31042838921947).

223033121111333 is a wasteful number, since it uses less digits than its factorization.

223033121111333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7930.

The product of its (nonzero) digits is 5832, while the sum is 29.

Adding to 223033121111333 its reverse (333111121330322), we get a palindrome (556144242441655).

The spelling of 223033121111333 in words is "two hundred twenty-three trillion, thirty-three billion, one hundred twenty-one million, one hundred eleven thousand, three hundred thirty-three".

Divisors: 1 13 31 43 403 559 1151 1333 3229 3463 14963 17329 35681 41977 45019 49493 100099 107353 138847 148909 463853 643409 1301287 1395589 1534283 1805011 1935817 3716579 3985913 4304257 4616179 11182027 19945679 48315527 51816869 55955341 60010327 115213949 123563303 145366351 159812897 171394259 346642837 480827161 1497781337 1606322939 2077567661 2228125367 4506356881 4954199807 5313222029 6250753093 12870513077 14905641991 64404597491 69071886377 167316670001 193773345883 398985905387 553432062311 5186816770031 7194616810043 17156393931641 223033121111333