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231003131211 = 3217127131151601
BaseRepresentation
bin1101011100100011011…
…1000000110101001011
3211002021000010221012100
43113020313000311023
512241043300144321
6254042114444443
722455321134436
oct3271067006513
9732230127170
10231003131211
1189a71277596
123892a593723
1318a25479728
14b27585081d
15602019c326
hex35c8dc0d4b

231003131211 has 96 divisors (see below), whose sum is σ = 361776070656. Its totient is φ = 141523200000.

The previous prime is 231003131173. The next prime is 231003131213. The reversal of 231003131211 is 112131300132.

231003131211 is a `hidden beast` number, since 2 + 310 + 0 + 31 + 312 + 11 = 666.

231003131211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 231003131211 - 27 = 231003131083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (231003131213) 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 95 ways as a sum of consecutive naturals, for example, 384364311 + ... + 384364911.

It is an arithmetic number, because the mean of its divisors is an integer number (3768500736).

Almost surely, 2231003131211 is an apocalyptic number.

231003131211 is a deficient number, since it is larger than the sum of its proper divisors (130772939445).

231003131211 is a wasteful number, since it uses less digits than its factorization.

231003131211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 231003131211 its reverse (112131300132), we get a palindrome (343134431343).

The spelling of 231003131211 in words is "two hundred thirty-one billion, three million, one hundred thirty-one thousand, two hundred eleven".

Divisors: 1 3 9 17 51 127 131 151 153 381 393 453 601 1143 1179 1359 1803 2159 2227 2567 5409 6477 6681 7701 10217 16637 19177 19431 19781 20043 23103 30651 49911 57531 59343 76327 78731 90751 91953 149733 172593 178029 228981 236193 272253 282829 326009 336277 686943 708579 816759 848487 978027 1008831 1297559 1338427 1542767 2512187 2545461 2934081 3026493 3892677 4015281 4628301 7536561 9998837 11525377 11678031 11888381 12045843 13884903 22609683 29996511 34576131 35665143 42707179 89989533 103728393 106995429 128121537 169980229 195931409 202102477 384364611 509940687 587794227 606307431 1509824387 1529822061 1763382681 1818922293 4529473161 13588419483 25667014579 77001043737 231003131211