Search a number
-
+
12210300211013 = 1719157918726209
BaseRepresentation
bin1011000110101110111010…
…0110110100111101000101
31121020021220211000201111122
42301223232212310331011
53100023143323223023
641545200125243325
72400110423220152
oct261535646647505
947207824021448
1012210300211013
1139883a5168a93
121452530a03545
136a757096c078
14302da5a4d229
151629407a42c8
hexb1aee9b4f45

12210300211013 has 32 divisors (see below), whose sum is σ = 13697698262400. Its totient is φ = 10816267198464.

The previous prime is 12210300210971. The next prime is 12210300211049. The reversal of 12210300211013 is 31011200301221.

It is a cyclic number.

It is not a de Polignac number, because 12210300211013 - 212 = 12210300206917 is a prime.

It is a super-2 number, since 2×122103002110132 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12210300210982 and 12210300211000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210300211063) 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, 465868853 + ... + 465895061.

It is an arithmetic number, because the mean of its divisors is an integer number (428053070700).

Almost surely, 212210300211013 is an apocalyptic number.

It is an amenable number.

12210300211013 is a deficient number, since it is larger than the sum of its proper divisors (1487398051387).

12210300211013 is a wasteful number, since it uses less digits than its factorization.

12210300211013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35589.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12210300211013 its reverse (31011200301221), we get a palindrome (43221500512234).

The spelling of 12210300211013 in words is "twelve trillion, two hundred ten billion, three hundred million, two hundred eleven thousand, thirteen".

Divisors: 1 17 19 157 323 2669 2983 9187 26209 50711 156179 174553 445553 497971 1442359 2967401 4114813 8465507 24520103 27404821 69951821 78181447 240782083 465881957 1329084599 4093295411 4574859577 37802787031 77772612809 642647379527 718252953589 12210300211013