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220311023012223 = 311137933289195277
BaseRepresentation
bin110010000101111100101000…
…010001000100100101111111
31001220001112020222202122001020
4302011330220101010211333
5212334033433342342343
62100321253050115223
764255642346331003
oct6205745021044577
91056045228678036
10220311023012223
116421a41aaa2940
1220861903a1bb13
1395c1317cc5350
143c59178d64703
151a70bde1bbb83
hexc85f2844497f

220311023012223 has 64 divisors (see below), whose sum is σ = 349483256371200. Its totient is φ = 121686504975360.

The previous prime is 220311023012219. The next prime is 220311023012237. The reversal of 220311023012223 is 322210320113022.

It is not a de Polignac number, because 220311023012223 - 22 = 220311023012219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220311023012193 and 220311023012202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220311023012123) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1128099861 + ... + 1128295137.

It is an arithmetic number, because the mean of its divisors is an integer number (5460675880800).

Almost surely, 2220311023012223 is an apocalyptic number.

220311023012223 is a deficient number, since it is larger than the sum of its proper divisors (129172233358977).

220311023012223 is a wasteful number, since it uses less digits than its factorization.

220311023012223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228672.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 220311023012223 its reverse (322210320113022), we get a palindrome (542521343125245).

The spelling of 220311023012223 in words is "two hundred twenty trillion, three hundred eleven billion, twenty-three million, twelve thousand, two hundred twenty-three".

Divisors: 1 3 11 13 33 39 79 143 237 429 869 1027 2607 3081 11297 33289 33891 99867 195277 366179 432757 585831 1098537 1298271 2148047 2538601 2629831 4760327 6444141 7615803 7889493 14280981 15426883 27924611 28928141 34187803 46280649 83773833 86784423 102563409 169695713 200549479 376065833 509087139 601648437 1128197499 2206044269 6500576053 6618132807 19501728159 71506336583 84507488689 214519009749 253522466067 513545508187 929582375579 1540636524561 2788747126737 5649000590057 6676091606431 16947001770171 20028274819293 73437007670741 220311023012223