Search a number
-
+
122120203101 = 313227122311279
BaseRepresentation
bin111000110111011101…
…1100110101101011101
3102200012202201002101020
41301232323212231131
54000100232444401
6132033511434353
711552152412361
oct1615673465535
9380182632336
10122120203101
1147877742096
121b8019859b9
13b692529c10
145ca6b712a1
15329b1add36
hex1c6eee6b5d

122120203101 has 32 divisors (see below), whose sum is σ = 176284200960. Its totient is φ = 74752027584.

The previous prime is 122120203097. The next prime is 122120203141. The reversal of 122120203101 is 101302021221.

It is not a de Polignac number, because 122120203101 - 22 = 122120203097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120203141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10821580 + ... + 10832858.

It is an arithmetic number, because the mean of its divisors is an integer number (5508881280).

Almost surely, 2122120203101 is an apocalyptic number.

It is an amenable number.

122120203101 is a deficient number, since it is larger than the sum of its proper divisors (54163997859).

122120203101 is a wasteful number, since it uses less digits than its factorization.

122120203101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12745.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 122120203101 its reverse (101302021221), we get a palindrome (223422224322).

It can be divided in two parts, 122120 and 203101, that added together give a triangular number (325221 = T806).

The spelling of 122120203101 in words is "one hundred twenty-two billion, one hundred twenty million, two hundred three thousand, one hundred one".

Divisors: 1 3 13 39 227 681 1223 2951 3669 8853 11279 15899 33837 47697 146627 277621 439881 832863 2560333 3609073 7680999 10827219 13794217 33284329 41382651 99852987 179324821 537974463 3131287259 9393861777 40706734367 122120203101