Search a number
-
+
103000101310 = 25121721533931
BaseRepresentation
bin101111111101101001…
…0001101000110111110
3100211212020212021120001
41133323102031012332
53141421011220220
6115152333344514
710304303262361
oct1377322150676
9324766767501
10103000101310
113a755965677
1217b6663813a
13993622b112
144db16920d8
152a2c7ed80a
hex17fb48d1be

103000101310 has 32 divisors (see below), whose sum is σ = 185685931872. Its totient is φ = 41136599040.

The previous prime is 103000101293. The next prime is 103000101319. The reversal of 103000101310 is 13101000301.

103000101310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1030001013102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103000101319) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26200045 + ... + 26203975.

It is an arithmetic number, because the mean of its divisors is an integer number (5802685371).

Almost surely, 2103000101310 is an apocalyptic number.

103000101310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103000101310 is a deficient number, since it is larger than the sum of its proper divisors (82685830562).

103000101310 is a wasteful number, since it uses less digits than its factorization.

103000101310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7308.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 103000101310 its reverse (13101000301), we get a palindrome (116101101611).

The spelling of 103000101310 in words is "one hundred three billion, one hundred one thousand, three hundred ten".

Divisors: 1 2 5 10 1217 2153 2434 3931 4306 6085 7862 10765 12170 19655 21530 39310 2620201 4784027 5240402 8463443 9568054 13101005 16926886 23920135 26202010 42317215 47840270 84634430 10300010131 20600020262 51500050655 103000101310