Search a number
-
+
233222233101 = 3111329130314387
BaseRepresentation
bin1101100100110100100…
…0001101110000001101
3211021222122202222201020
43121031020031300031
512310114342424401
6255050225504353
722564315162314
oct3311510156015
9737878688636
10233222233101
118a9aa9636a0
12392497a20b9
1318cba138780
14b40646127b
1560eedddd36
hex364d20dc0d

233222233101 has 64 divisors (see below), whose sum is σ = 378240952320. Its totient is φ = 125869443840.

The previous prime is 233222233099. The next prime is 233222233171. The reversal of 233222233101 is 101332222332.

It is not a de Polignac number, because 233222233101 - 21 = 233222233099 is a prime.

It is a super-2 number, since 2×2332222331012 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233222233171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16203430 + ... + 16217816.

It is an arithmetic number, because the mean of its divisors is an integer number (5910014880).

Almost surely, 2233222233101 is an apocalyptic number.

It is an amenable number.

233222233101 is a deficient number, since it is larger than the sum of its proper divisors (145018719219).

233222233101 is a wasteful number, since it uses less digits than its factorization.

233222233101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15746.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 233222233101 its reverse (101332222332), we get a palindrome (334554455433).

The spelling of 233222233101 in words is "two hundred thirty-three billion, two hundred twenty-two million, two hundred thirty-three thousand, one hundred one".

Divisors: 1 3 11 13 29 33 39 87 143 319 377 429 957 1131 1303 3909 4147 12441 14333 14387 16939 37787 42999 43161 50817 113361 158257 186329 187031 415657 417223 474771 491231 558987 561093 1246971 1251669 1473693 2057341 4589453 5403541 5423899 6172023 13768359 16210623 16271697 18746261 56238783 59662889 178988667 206208871 243701393 543641569 618626613 731104179 1630924707 2680715323 5980057259 7067340397 8042145969 17940171777 21202021191 77740744367 233222233101