Search a number
-
+
1230107310 = 23651983107
BaseRepresentation
bin100100101010001…
…1111001010101110
310011201122221000000
41021110133022232
510004401413220
6322021245130
742324511455
oct11124371256
93151587000
101230107310
115813aa913
122a3b637a6
13167b06263
14b9529b9c
1572ed6390
hex4951f2ae

1230107310 has 224 divisors, whose sum is σ = 3569650560. Its totient is φ = 304150464.

The previous prime is 1230107303. The next prime is 1230107317. The reversal of 1230107310 is 137010321.

It is an interprime number because it is at equal distance from previous prime (1230107303) and next prime (1230107317).

It is a super-2 number, since 2×12301073102 = 3026327988230872200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230107317) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11496277 + ... + 11496383.

It is an arithmetic number, because the mean of its divisors is an integer number (15935940).

Almost surely, 21230107310 is an apocalyptic number.

1230107310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230107310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784825280).

1230107310 is an abundant number, since it is smaller than the sum of its proper divisors (2339543250).

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

1230107310 is a wasteful number, since it uses less digits than its factorization.

1230107310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 1230107310 is about 35072.8856811070. The cubic root of 1230107310 is about 1071.4724276905.

Adding to 1230107310 its reverse (137010321), we get a palindrome (1367117631).

The spelling of 1230107310 in words is "one billion, two hundred thirty million, one hundred seven thousand, three hundred ten".