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103132211301 = 3272371174749
BaseRepresentation
bin110000000001100101…
…0001010100001100101
3100212012110110011101200
41200003022022201211
53142203321230201
6115213413113113
710310466221610
oct1400312124145
9325173404350
10103132211301
113a813498889
1217ba2928799
139957705102
144dc5041177
152a391e7386
hex180328a865

103132211301 has 24 divisors (see below), whose sum is σ = 177652176000. Its totient is φ = 56370400416.

The previous prime is 103132211297. The next prime is 103132211417. The reversal of 103132211301 is 103112231301.

103132211301 is a `hidden beast` number, since 1 + 0 + 31 + 322 + 11 + 301 = 666.

It is not a de Polignac number, because 103132211301 - 22 = 103132211297 is a prime.

It is a super-3 number, since 3×1031322113013 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103132210301) 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 23 ways as a sum of consecutive naturals, for example, 35585926 + ... + 35588823.

It is an arithmetic number, because the mean of its divisors is an integer number (7402174000).

Almost surely, 2103132211301 is an apocalyptic number.

It is an amenable number.

103132211301 is a deficient number, since it is larger than the sum of its proper divisors (74519964699).

103132211301 is a wasteful number, since it uses less digits than its factorization.

103132211301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71174785 (or 71174782 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103132211301 its reverse (103112231301), we get a palindrome (206244442602).

The spelling of 103132211301 in words is "one hundred three billion, one hundred thirty-two million, two hundred eleven thousand, three hundred one".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 71174749 213524247 498223243 640572741 1494669729 1637019227 4484009187 4911057681 11459134589 14733173043 34377403767 103132211301