Search a number
-
+
31121312010 = 23519291882717
BaseRepresentation
bin11100111110111110…
…011000100100001010
32222022220020110021120
4130332332120210022
51002214023441020
622144045420110
72151133534035
oct347676304412
988286213246
1031121312010
1112220195378
12604656a636
132c1c798429
14171333401c
15c222be740
hex73ef9890a

31121312010 has 64 divisors (see below), whose sum is σ = 81333417600. Its totient is φ = 7591110912.

The previous prime is 31121312003. The next prime is 31121312011. The reversal of 31121312010 is 1021312113.

It is a happy number.

It is a super-2 number, since 2×311213120102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (31121312011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 924829 + ... + 957888.

It is an arithmetic number, because the mean of its divisors is an integer number (1270834650).

Almost surely, 231121312010 is an apocalyptic number.

31121312010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31121312010 is an abundant number, since it is smaller than the sum of its proper divisors (50212105590).

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

31121312010 is a wasteful number, since it uses less digits than its factorization.

31121312010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882775.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 31121312010 its reverse (1021312113), we get a palindrome (32142624123).

The spelling of 31121312010 in words is "thirty-one billion, one hundred twenty-one million, three hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 29 30 38 57 58 87 95 114 145 174 190 285 290 435 551 570 870 1102 1653 2755 3306 5510 8265 16530 1882717 3765434 5648151 9413585 11296302 18827170 28240755 35771623 54598793 56481510 71543246 107314869 109197586 163796379 178858115 214629738 272993965 327592758 357716230 536574345 545987930 818981895 1037377067 1073148690 1637963790 2074754134 3112131201 5186885335 6224262402 10373770670 15560656005 31121312010