Search a number
-
+
310102101 = 346162761
BaseRepresentation
bin10010011110111…
…100100001010101
3210121111211010000
4102132330201111
51113341231401
650434321513
710453552521
oct2236744125
9717454100
10310102101
1114a054331
1287a29299
134c326c8a
142d282d81
151c357186
hex127bc855

310102101 has 20 divisors (see below), whose sum is σ = 470840524. Its totient is φ = 203342400.

The previous prime is 310102087. The next prime is 310102109. The reversal of 310102101 is 101201013.

It can be written as a sum of positive squares in 2 ways, for example, as 21068100 + 289034001 = 4590^2 + 17001^2 .

It is not a de Polignac number, because 310102101 - 27 = 310101973 is a prime.

It is a super-2 number, since 2×3101021012 = 192326626089228402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310102109) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26440 + ... + 36321.

Almost surely, 2310102101 is an apocalyptic number.

It is an amenable number.

310102101 is a deficient number, since it is larger than the sum of its proper divisors (160738423).

310102101 is an equidigital number, since it uses as much as digits as its factorization.

310102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62834 (or 62825 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 310102101 is about 17609.7160965190. The cubic root of 310102101 is about 676.8642391303.

Adding to 310102101 its reverse (101201013), we get a palindrome (411303114).

The spelling of 310102101 in words is "three hundred ten million, one hundred two thousand, one hundred one".

Divisors: 1 3 9 27 61 81 183 549 1647 4941 62761 188283 564849 1694547 3828421 5083641 11485263 34455789 103367367 310102101