Search a number
-
+
31311321001230 = 23515114814667111
BaseRepresentation
bin1110001111010001111000…
…01010100110110100001110
311002212022222210111122212010
413013220330022212310032
513101001041134014410
6150332120003122050
76411111503112234
oct707507412466416
9132768883448763
1031311321001230
119a8206946a006
123618416073326
13146184cb02b8a
147a36942c4954
1539472ca49c20
hex1c7a3c2a6d0e

31311321001230 has 64 divisors (see below), whose sum is σ = 75695926864896. Its totient is φ = 8288787360000.

The previous prime is 31311321001193. The next prime is 31311321001243. The reversal of 31311321001230 is 3210012311313.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31311321001197 and 31311321001206.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4375375 + ... + 9042485.

It is an arithmetic number, because the mean of its divisors is an integer number (1182748857264).

Almost surely, 231311321001230 is an apocalyptic number.

31311321001230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31311321001230 is an abundant number, since it is smaller than the sum of its proper divisors (44384605863666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31311321001230 is a wasteful number, since it uses less digits than its factorization.

31311321001230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4668753.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 31311321001230 its reverse (3210012311313), we get a palindrome (34521333312543).

The spelling of 31311321001230 in words is "thirty-one trillion, three hundred eleven billion, three hundred twenty-one million, one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 151 302 453 755 906 1481 1510 2265 2962 4443 4530 7405 8886 14810 22215 44430 223631 447262 670893 1118155 1341786 2236310 3354465 4667111 6708930 9334222 14001333 23335555 28002666 46671110 70006665 140013330 704733761 1409467522 2114201283 3523668805 4228402566 6911991391 7047337610 10571006415 13823982782 20735974173 21142012830 34559956955 41471948346 69119913910 103679870865 207359741730 1043710700041 2087421400082 3131132100123 5218553500205 6262264200246 10437107000410 15655660500615 31311321001230