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232113011230331 = 711231103687112491
BaseRepresentation
bin110100110001101100000101…
…100101010000011001111011
31010102211210020211201222211222
4310301230011211100121323
5220410414421333332311
62141355124552342255
766614416541100530
oct6461540545203173
91112753224658758
10232113011230331
1167a5a636736200
12220490819a498b
139c6921727648a
144146488930d87
151bc7bd349eadb
hexd31b0595067b

232113011230331 has 96 divisors (see below), whose sum is σ = 303976543223808. Its totient is φ = 173294403480000.

The previous prime is 232113011230319. The next prime is 232113011230349. The reversal of 232113011230331 is 133032110311232.

It is not a de Polignac number, because 232113011230331 - 26 = 232113011230267 is a prime.

It is a super-2 number, since 2×2321130112303312 (a number of 30 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 232113011230331.

It is not an unprimeable number, because it can be changed into a prime (232113011230361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18582413996 + ... + 18582426486.

It is an arithmetic number, because the mean of its divisors is an integer number (3166422325248).

Almost surely, 2232113011230331 is an apocalyptic number.

232113011230331 is a deficient number, since it is larger than the sum of its proper divisors (71863531993477).

232113011230331 is a wasteful number, since it uses less digits than its factorization.

232113011230331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19525 (or 19514 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 232113011230331 its reverse (133032110311232), we get a palindrome (365145121541563).

The spelling of 232113011230331 in words is "two hundred thirty-two trillion, one hundred thirteen billion, eleven million, two hundred thirty thousand, three hundred thirty-one".

Divisors: 1 7 11 31 77 103 121 217 341 721 847 1133 2387 3193 3751 6871 7931 12463 12491 22351 26257 35123 48097 75581 87241 87437 137401 213001 245861 386353 387221 529067 707713 831391 961807 1286573 1491007 1511411 2343011 2704471 2710547 4259431 4953991 5819737 7784843 9006011 10579877 14152303 16401077 21939103 25773121 29816017 39883763 46853741 54493901 85633273 85825661 99066121 153573721 155675333 180411847 241330133 279186341 327976187 438721393 599432911 600779627 944082271 1089727331 1689310931 2654631463 2660595491 3071049751 4825935323 6608575897 8840043083 10384904981 18582420241 18624168437 29266550401 33781547261 61880301581 72694334867 97240473913 204865852807 274041335573 321932054411 680683317391 1069645213043 1918289349011 2253524380877 3014454691303 7487516491301 21101182839121 33159001604333 232113011230331