Search a number
-
+
31132201211123 = 232674491956289
BaseRepresentation
bin1110001010000100001111…
…10010110101010011110011
311002020012122122000112120212
413011002013302311103303
513040032222002223443
6150113534044254335
76362140653034565
oct705020762652363
9132205578015525
1031132201211123
119a13101a72621
1235a97672413ab
13144a9a56462ac
14798b41373335
1538ec4775e618
hex1c5087cb54f3

31132201211123 has 24 divisors (see below), whose sum is σ = 33103948122000. Its totient is φ = 29268822933504.

The previous prime is 31132201211071. The next prime is 31132201211179. The reversal of 31132201211123 is 32111210223113.

It is a happy number.

It is not a de Polignac number, because 31132201211123 - 28 = 31132201210867 is a prime.

It is a super-2 number, since 2×311322012111232 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31132201211723) 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 23 ways as a sum of consecutive naturals, for example, 14935763 + ... + 16892051.

It is an arithmetic number, because the mean of its divisors is an integer number (1379331171750).

Almost surely, 231132201211123 is an apocalyptic number.

31132201211123 is a deficient number, since it is larger than the sum of its proper divisors (1971746910877).

31132201211123 is a wasteful number, since it uses less digits than its factorization.

31132201211123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956851 (or 1956828 counting only the distinct ones).

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

Adding to 31132201211123 its reverse (32111210223113), we get a palindrome (63243411434236).

The spelling of 31132201211123 in words is "thirty-one trillion, one hundred thirty-two billion, two hundred one million, two hundred eleven thousand, one hundred twenty-three".

Divisors: 1 23 67 449 529 1541 10327 30083 35443 237521 691909 1956289 15913907 44994647 131071363 878373761 1034876881 3014641349 20202596503 58851041987 69336751027 464659719569 1353573965701 31132201211123