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223133112110133 = 32172952799526271
BaseRepresentation
bin110010101111000000111001…
…111000101000110000110101
31002021001022120020021122211100
4302233000321320220300311
5213221303103200011013
62110321534145400313
764666556346014331
oct6257007170506065
91067038506248740
10223133112110133
1165108248799635
1221038837939099
139767492952504
143d159b36b07c1
151abe30e819473
hexcaf039e28c35

223133112110133 has 48 divisors (see below), whose sum is σ = 353096987443200. Its totient is φ = 135151707425280.

The previous prime is 223133112110101. The next prime is 223133112110137. The reversal of 223133112110133 is 331011211331322.

223133112110133 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 3 + 311 + 211 + 0 + 133 = 666.

It is not a de Polignac number, because 223133112110133 - 25 = 223133112110101 is a prime.

It is a super-3 number, since 3×2231331121101333 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223133112110097 and 223133112110106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223133112110137) 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 47 ways as a sum of consecutive naturals, for example, 18659788 + ... + 28186058.

It is an arithmetic number, because the mean of its divisors is an integer number (7356187238400).

Almost surely, 2223133112110133 is an apocalyptic number.

It is an amenable number.

223133112110133 is a deficient number, since it is larger than the sum of its proper divisors (129963875333067).

223133112110133 is a wasteful number, since it uses less digits than its factorization.

223133112110133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9531602 (or 9531599 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 223133112110133 its reverse (331011211331322), we get a palindrome (554144323441455).

The spelling of 223133112110133 in words is "two hundred twenty-three trillion, one hundred thirty-three billion, one hundred twelve million, one hundred ten thousand, one hundred thirty-three".

Divisors: 1 3 9 17 29 51 87 153 261 493 1479 4437 5279 15837 47511 89743 153091 269229 459273 807687 1377819 2602547 7807641 9526271 23422923 28578813 85736439 161946607 276261859 485839821 828785577 1457519463 2486356731 4696451603 14089354809 42268064427 50289184609 150867553827 452602661481 854916138353 1458386353661 2564748415059 4375159060983 7694245245177 13125477182949 24792568012237 74377704036711 223133112110133