Search a number
-
+
20120013032121 = 3235360101105373
BaseRepresentation
bin1001001001100100011100…
…01110101100101010111001
32122020110021022011012212100
410210302032032230222321
510114121241314011441
6110443001213534013
74144423451662542
oct444621616545271
978213238135770
1020120013032121
116457938913402
12230b4877a4309
13b2c4030b1b02
144d7b571d74c9
1524d57b062cb6
hex124c8e3acab9

20120013032121 has 24 divisors (see below), whose sum is σ = 29145331857096. Its totient is φ = 13374994406400.

The previous prime is 20120013032087. The next prime is 20120013032143. The reversal of 20120013032121 is 12123031002102.

It can be written as a sum of positive squares in 4 ways, for example, as 131388125625 + 19988624906496 = 362475^2 + 4470864^2 .

It is not a de Polignac number, because 20120013032121 - 223 = 20120004643513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20120013032094 and 20120013032103.

It is not an unprimeable number, because it can be changed into a prime (20120013732121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190888191 + ... + 190993563.

It is an arithmetic number, because the mean of its divisors is an integer number (1214388827379).

Almost surely, 220120013032121 is an apocalyptic number.

It is an amenable number.

20120013032121 is a deficient number, since it is larger than the sum of its proper divisors (9025318824975).

20120013032121 is a wasteful number, since it uses less digits than its factorization.

20120013032121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165833 (or 165830 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20120013032121 its reverse (12123031002102), we get a palindrome (32243044034223).

The spelling of 20120013032121 in words is "twenty trillion, one hundred twenty billion, thirteen million, thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 353 1059 3177 60101 105373 180303 316119 540909 948357 21215653 37196669 63646959 111590007 190940877 334770021 6333022673 18999068019 56997204057 2235557003569 6706671010707 20120013032121