Search a number
-
+
103032212110101 = 3222245535146213
BaseRepresentation
bin10111011011010100001110…
…011001110011101100010101
3111111210210011000100112200200
4113123110032121303230111
5102001034432300010401
61003044202251331113
730462555156622641
oct2733241631635425
9444723130315620
10103032212110101
112a913796767a4a
12b6803bb450a99
134564b8541c711
141b62addc63c21
15bda186e4c686
hex5db50e673b15

103032212110101 has 12 divisors (see below), whose sum is σ = 148824402201228. Its totient is φ = 68688097182144.

The previous prime is 103032212109989. The next prime is 103032212110127. The reversal of 103032212110101 is 101011212230301.

103032212110101 is a `hidden beast` number, since 1 + 0 + 30 + 322 + 1 + 211 + 0 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23191303590225 + 79840908519876 = 4815735^2 + 8935374^2 .

It is a de Polignac number, because none of the positive numbers 2k-103032212110101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103032212110141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17447871 + ... + 22594083.

It is an arithmetic number, because the mean of its divisors is an integer number (12402033516769).

Almost surely, 2103032212110101 is an apocalyptic number.

It is an amenable number.

103032212110101 is a deficient number, since it is larger than the sum of its proper divisors (45792190091127).

103032212110101 is a wasteful number, since it uses less digits than its factorization.

103032212110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7370772 (or 7370769 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 103032212110101 its reverse (101011212230301), we get a palindrome (204043424340402).

The spelling of 103032212110101 in words is "one hundred three trillion, thirty-two billion, two hundred twelve million, one hundred ten thousand, one hundred one".

Divisors: 1 3 9 2224553 5146213 6673659 15438639 20020977 46315917 11448023567789 34344070703367 103032212110101