Search a number
-
+
202232103111311 = 713712619712199
BaseRepresentation
bin101101111110110111010100…
…101010110000101010001111
3222112001012101222102121202112
4231332313110222300222033
5203001332321344030221
61554040051241414235
760411534016601360
oct5576672452605217
9875035358377675
10202232103111311
115948a176031a89
121a821b2a19a37b
1388ac536b44570
1437d212c059b67
15185a7c3a9915b
hexb7edd4ab0a8f

202232103111311 has 48 divisors (see below), whose sum is σ = 252864273984000. Its totient is φ = 157499112173760.

The previous prime is 202232103111263. The next prime is 202232103111323. The reversal of 202232103111311 is 113111301232202.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-202232103111311 is a prime.

It is a super-2 number, since 2×2022321031113112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202232103111611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283598390 + ... + 284310588.

It is an arithmetic number, because the mean of its divisors is an integer number (5268005708000).

Almost surely, 2202232103111311 is an apocalyptic number.

202232103111311 is a deficient number, since it is larger than the sum of its proper divisors (50632170872689).

202232103111311 is an equidigital number, since it uses as much as digits as its factorization.

202232103111311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712980 (or 712909 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 202232103111311 its reverse (113111301232202), we get a palindrome (315343404343513).

The spelling of 202232103111311 in words is "two hundred two trillion, two hundred thirty-two billion, one hundred three million, one hundred eleven thousand, three hundred eleven".

Divisors: 1 7 13 71 91 497 619 923 4333 5041 6461 8047 35287 43949 56329 65533 307643 458731 571337 712199 3120379 3999359 4985393 9258587 21842653 40564927 50566129 64810109 283954489 353962903 440851181 657359677 3085958267 3590195159 4601517739 5731065353 25131366113 31300433851 40117457471 46672537067 219103036957 326707759469 406905640063 2222330803421 2848339480441 15556315623947 28890300444473 202232103111311