Search a number
-
+
202311122113331 = 71118149194731219
BaseRepresentation
bin101110000000000000111010…
…100100010101001100110011
3222112022202100221121211111222
4232000000322210111030303
5203004131134230111311
61554140240233055255
760420332130203510
oct5600007244251463
9875282327554458
10202311122113331
115950a735213830
121a83530155752b
1388b6b1a9632aa
1437d5ca67d2307
15185c89ad8badb
hexb8003a915333

202311122113331 has 64 divisors (see below), whose sum is σ = 254418659389440. Its totient is φ = 156284550576000.

The previous prime is 202311122113273. The next prime is 202311122113333. The reversal of 202311122113331 is 133311221113202.

It is not a de Polignac number, because 202311122113331 - 214 = 202311122096947 is a prime.

It is a super-2 number, since 2×2023111221133312 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 202311122113331.

It is not an unprimeable number, because it can be changed into a prime (202311122113333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6480368840 + ... + 6480400058.

It is an arithmetic number, because the mean of its divisors is an integer number (3975291552960).

Almost surely, 2202311122113331 is an apocalyptic number.

202311122113331 is a deficient number, since it is larger than the sum of its proper divisors (52107537276109).

202311122113331 is a wasteful number, since it uses less digits than its factorization.

202311122113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32856.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 202311122113331 its reverse (133311221113202), we get a palindrome (335622343226533).

The spelling of 202311122113331 in words is "two hundred two trillion, three hundred eleven billion, one hundred twenty-two million, one hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 7 11 77 181 491 947 1267 1991 3437 5401 6629 10417 13937 31219 37807 72919 88871 171407 218533 343409 464977 622097 977581 1199849 1885477 2403863 3254839 5114747 5650639 6843067 13198339 15328529 29564393 35803229 39554473 62157029 84160837 107299703 168613819 206950751 325208323 435099203 589125859 925769207 1180296733 2276458261 2774463749 5351155133 6480384449 14516116963 19421246243 30519101239 37458085931 58862706463 101612818741 159677286593 213633708673 412038945241 1117741006151 2627417170303 18391920192121 28901588873333 202311122113331