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233200021131 = 327112911603723
BaseRepresentation
bin1101100100101111001…
…1011110111010001011
3211021221002222111121200
43121023303132322023
512310043201134011
6255044113435243
722563625321350
oct3311363367213
9737832874550
10233200021131
118a9993724a0
123924226bb23
1318cb565c5ac
14b40351c627
1560ecea2856
hex364bcdee8b

233200021131 has 48 divisors (see below), whose sum is σ = 434443426560. Its totient is φ = 116965517760.

The previous prime is 233200021091. The next prime is 233200021133. The reversal of 233200021131 is 131120002332.

It is not a de Polignac number, because 233200021131 - 219 = 233199496843 is a prime.

It is a super-2 number, since 2×2332000211312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (233200021133) 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 47 ways as a sum of consecutive naturals, for example, 5781765 + ... + 5821958.

It is an arithmetic number, because the mean of its divisors is an integer number (9050904720).

Almost surely, 2233200021131 is an apocalyptic number.

233200021131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

233200021131 is a deficient number, since it is larger than the sum of its proper divisors (201243405429).

233200021131 is a wasteful number, since it uses less digits than its factorization.

233200021131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11603776 (or 11603773 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 233200021131 its reverse (131120002332), we get a palindrome (364320023463).

The spelling of 233200021131 in words is "two hundred thirty-three billion, two hundred million, twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 9 11 21 29 33 63 77 87 99 203 231 261 319 609 693 957 1827 2233 2871 6699 20097 11603723 34811169 81226061 104433507 127640953 243678183 336507967 382922859 731034549 893486671 1009523901 1148768577 2355555769 2680460013 3028571703 3701587637 7066667307 8041380039 11104762911 21200001921 25911113459 33314288733 77733340377 233200021131