Search a number
-
+
223130341013103 = 3529143922003591
BaseRepresentation
bin110010101110111110010100…
…101101101111011001101111
31002021001001102002222100100000
4302232332110231233121233
5213221231414244404403
62110320355155235343
764666430600045256
oct6256762455573157
91067031362870300
10223130341013103
11651070565623a7
12210381a38a8b53
139767140804b24
143d157cd65179d
151abe1eb3dd7a3
hexcaef94b6f66f

223130341013103 has 48 divisors (see below), whose sum is σ = 346002083481600. Its totient is φ = 143524312737120.

The previous prime is 223130341013093. The next prime is 223130341013119. The reversal of 223130341013103 is 301310143031322.

223130341013103 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 3 + 0 + 341 + 0 + 1 + 310 + 3 = 666.

It is not a de Polignac number, because 223130341013103 - 29 = 223130341012591 is a prime.

It is a super-3 number, since 3×2231303410131033 (a number of 44 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (223130341013143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 861163 + ... + 21142428.

It is an arithmetic number, because the mean of its divisors is an integer number (7208376739200).

Almost surely, 2223130341013103 is an apocalyptic number.

223130341013103 is a deficient number, since it is larger than the sum of its proper divisors (122871742468497).

223130341013103 is a wasteful number, since it uses less digits than its factorization.

223130341013103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22005074 (or 22005062 counting only the distinct ones).

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

Adding to 223130341013103 its reverse (301310143031322), we get a palindrome (524440484044425).

The spelling of 223130341013103 in words is "two hundred twenty-three trillion, one hundred thirty billion, three hundred forty-one million, thirteen thousand, one hundred three".

Divisors: 1 3 9 27 29 81 87 243 261 783 1439 2349 4317 7047 12951 38853 41731 116559 125193 349677 375579 1126737 3380211 10140633 22003591 66010773 198032319 594096957 638104139 1782290871 1914312417 5346872613 5742937251 17228811753 31663167449 51686435259 94989502347 155059305777 284968507041 854905521123 918231856021 2564716563369 2754695568063 7694149690107 8264086704189 24792260112567 74376780337701 223130341013103