Search a number
-
+
1310212116 = 2232286112721
BaseRepresentation
bin100111000011000…
…0100000000010100
310101022101200010200
41032012010000110
510140403241431
6334002220500
744316422253
oct11606040024
93338350120
101310212116
11612642834
12306954730
1317b5a2255
14c601c79a
157a05aee6
hex4e184014

1310212116 has 36 divisors (see below), whose sum is σ = 3313343124. Its totient is φ = 436550400.

The previous prime is 1310212087. The next prime is 1310212129. The reversal of 1310212116 is 6112120131.

It can be written as a sum of positive squares in 2 ways, for example, as 962240400 + 347971716 = 31020^2 + 18654^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96636 + ... + 109356.

It is an arithmetic number, because the mean of its divisors is an integer number (92037309).

Almost surely, 21310212116 is an apocalyptic number.

It is an amenable number.

1310212116 is an abundant number, since it is smaller than the sum of its proper divisors (2003131008).

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

1310212116 is a wasteful number, since it uses less digits than its factorization.

1310212116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15592 (or 15587 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1310212116 is about 36196.8522940877. The cubic root of 1310212116 is about 1094.2432351666.

Adding to 1310212116 its reverse (6112120131), we get a palindrome (7422332247).

The spelling of 1310212116 in words is "one billion, three hundred ten million, two hundred twelve thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 2861 5722 8583 11444 12721 17166 25442 25749 34332 38163 50884 51498 76326 102996 114489 152652 228978 457956 36394781 72789562 109184343 145579124 218368686 327553029 436737372 655106058 1310212116