Search a number
103311021 = 31129412633
BaseRepresentation
bin1100010100001…
…10011010101101
321012101202002010
412022012122231
5202421423041
614130151433
72363062212
oct612063255
9235352063
10103311021
1153353110
122a722579
13185328a8
14da13b09
15910aa16

103311021 has 32 divisors (see below), whose sum is σ = 159304320. Its totient is φ = 58956800.

The previous prime is 103311017. The next prime is 103311053. The reversal of 103311021 is 120113301.

Adding to 103311021 its reverse (120113301), we get a palindrome (223424322).

It is a cyclic number.

It is not a de Polignac number, because 103311021 - 22 = 103311017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103310988 and 103311006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103311001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37921 + ... + 40553.

It is an arithmetic number, because the mean of its divisors is an integer number (4978260).

Almost surely, 2103311021 is an apocalyptic number.

103311021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103311021 is a deficient number, since it is larger than the sum of its proper divisors (55993299).

103311021 is a wasteful number, since it uses less digits than its factorization.

103311021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 103311021 is about 10164.2029200523. The cubic root of 103311021 is about 469.2261613375.

The spelling of 103311021 in words is "one hundred three million, three hundred eleven thousand, twenty-one".