Search a number
-
+
233000041101 = 34347593132081
BaseRepresentation
bin1101100011111111100…
…0100111101010001101
3211021102011200110120220
43120333320213222031
512304141002303401
6255012211301553
722555646446242
oct3307770475215
9737364613526
10233000041101
118a8a64a3543
12391a72aa8b9
1318c830b1409
14b3c4b435c9
1560da64e336
hex363fe27a8d

233000041101 has 64 divisors (see below), whose sum is σ = 331371786240. Its totient is φ = 145439723520.

The previous prime is 233000041097. The next prime is 233000041103. The reversal of 233000041101 is 101140000332.

It is not a de Polignac number, because 233000041101 - 22 = 233000041097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233000041103) 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 63 ways as a sum of consecutive naturals, for example, 111964381 + ... + 111966461.

It is an arithmetic number, because the mean of its divisors is an integer number (5177684160).

Almost surely, 2233000041101 is an apocalyptic number.

It is an amenable number.

233000041101 is a deficient number, since it is larger than the sum of its proper divisors (98371745139).

233000041101 is a wasteful number, since it uses less digits than its factorization.

233000041101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 233000041101 its reverse (101140000332), we get a palindrome (334140041433).

The spelling of 233000041101 in words is "two hundred thirty-three billion, forty-one thousand, one hundred one".

Divisors: 1 3 43 47 59 129 141 177 313 939 2021 2081 2537 2773 6063 6243 7611 8319 13459 14711 18467 40377 44133 55401 89483 97807 119239 122779 268449 293421 357717 368337 632573 651353 794081 867949 1897719 1954059 2382243 2603847 4205701 5279497 5770613 12617103 15838491 17311839 28008179 30613591 37321807 38429827 84024537 91840773 111965421 115289481 248136359 744409077 1316384413 1652482561 1806201869 3949153239 4957447683 5418605607 77666680367 233000041101