Search a number
-
+
2113431234111 = 3541833836673
BaseRepresentation
bin11110110000010010010…
…100010110011000111111
321111001010122201120200000
4132300102110112120333
5234111301343442421
64254521422005343
7305455540041351
oct36602224263077
97431118646600
102113431234111
1174533491a96a
122a171ba16853
131243ac8a1a02
147440d6510d1
1539e9644c226
hex1ec1251663f

2113431234111 has 96 divisors (see below), whose sum is σ = 3291147804672. Its totient is φ = 1354279357440.

The previous prime is 2113431234107. The next prime is 2113431234133. The reversal of 2113431234111 is 1114321343112.

2113431234111 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 4 + 312 + 341 + 1 + 1 = 666.

It is not a de Polignac number, because 2113431234111 - 22 = 2113431234107 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113431234011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 316710471 + ... + 316717143.

It is an arithmetic number, because the mean of its divisors is an integer number (34282789632).

Almost surely, 22113431234111 is an apocalyptic number.

2113431234111 is a deficient number, since it is larger than the sum of its proper divisors (1177716570561).

2113431234111 is an equidigital number, since it uses as much as digits as its factorization.

2113431234111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7195 (or 7183 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 2113431234111 its reverse (1114321343112), we get a palindrome (3227752577223).

The spelling of 2113431234111 in words is "two trillion, one hundred thirteen billion, four hundred thirty-one million, two hundred thirty-four thousand, one hundred eleven".

Divisors: 1 3 9 27 41 81 83 123 243 249 369 383 747 1107 1149 2241 3321 3403 3447 6673 6723 9963 10209 10341 15703 20019 20169 30627 31023 31789 47109 60057 91881 93069 95367 141327 180171 273593 275643 286101 423981 540513 553859 820779 826929 858303 1271943 1303349 1621539 1661577 2462337 2555759 2574909 3815829 3910047 4984731 7387011 7667277 7724727 11730141 14954193 22161033 22708219 23001831 35190423 44862579 66483099 68124657 69005493 104786119 105571269 134587737 204373971 207016479 212127997 314358357 316713807 613121913 621049437 636383991 943075071 1839365739 1909151973 2829225213 5518097217 5727455919 8487675639 8697247877 17182367757 25463026917 26091743631 51547103271 78275230893 234825692679 704477078037 2113431234111