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233320342213131 = 35915733472508557
BaseRepresentation
bin110101000011010000100000…
…000111011101001000001011
31010121010012120210222121122220
4311003100200013131020023
5221040210030101310011
62144121515133345123
7100100560405113345
oct6503204007351013
91117105523877586
10233320342213131
1168385668592168
12222030666381a3
13a0260245c2314
144188a9c932295
151be92e6a83506
hexd434201dd20b

233320342213131 has 32 divisors (see below), whose sum is σ = 318476890817280. Its totient is φ = 151891099092096.

The previous prime is 233320342213097. The next prime is 233320342213171. The reversal of 233320342213131 is 131312243023332.

It is not a de Polignac number, because 233320342213131 - 215 = 233320342180363 is a prime.

It is a super-2 number, since 2×2333203422131312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233320342213092 and 233320342213101.

It is not an unprimeable number, because it can be changed into a prime (233320342213171) 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 31 ways as a sum of consecutive naturals, for example, 91755505 + ... + 94264061.

It is an arithmetic number, because the mean of its divisors is an integer number (9952402838040).

Almost surely, 2233320342213131 is an apocalyptic number.

233320342213131 is a deficient number, since it is larger than the sum of its proper divisors (85156548604149).

233320342213131 is a wasteful number, since it uses less digits than its factorization.

233320342213131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512123.

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 233320342213131 its reverse (131312243023332), we get a palindrome (364632585236463).

The spelling of 233320342213131 in words is "two hundred thirty-three trillion, three hundred twenty billion, three hundred forty-two million, two hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 59 157 177 471 3347 9263 10041 27789 197473 525479 592419 1576437 2508557 7525671 31003261 93009783 148004863 393843449 444014589 1181530347 8396140279 23236763491 25188420837 69710290473 495372276461 1318194023803 1486116829383 3954582071409 77773447404377 233320342213131