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123212303023131 = 327193113192517407
BaseRepresentation
bin11100000000111110011001…
…100011011011110000011011
3121011020222111020122022211100
4130000332121203123300123
5112122202244033220011
61114014541155002443
734644536505312330
oct3400763143336033
9534228436568740
10123212303023131
1136294053a114a3
121199b452b99423
135399b4112938a
14225d715dc4987
15e3a07c498d56
hex700f998dbc1b

123212303023131 has 96 divisors (see below), whose sum is σ = 221177452953600. Its totient is φ = 64500775139520.

The previous prime is 123212303023123. The next prime is 123212303023213. The reversal of 123212303023131 is 131320303212321.

123212303023131 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 12 + 30 + 302 + 313 + 1 = 666.

It is not a de Polignac number, because 123212303023131 - 23 = 123212303023123 is a prime.

It is a super-2 number, since 2×1232123030231312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123212303023095 and 123212303023104.

It is not an unprimeable number, because it can be changed into a prime (123212303021131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47685430 + ... + 50202836.

It is an arithmetic number, because the mean of its divisors is an integer number (2303931801600).

Almost surely, 2123212303023131 is an apocalyptic number.

123212303023131 is a deficient number, since it is larger than the sum of its proper divisors (97965149930469).

123212303023131 is a wasteful number, since it uses less digits than its factorization.

123212303023131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518789 (or 2518786 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 123212303023131 its reverse (131320303212321), we get a palindrome (254532606235452).

The spelling of 123212303023131 in words is "one hundred twenty-three trillion, two hundred twelve billion, three hundred three million, twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 9 19 21 31 57 63 93 133 171 217 279 399 589 651 1197 1319 1767 1953 3957 4123 5301 9233 11871 12369 25061 27699 37107 40889 75183 83097 122667 175427 225549 286223 368001 526281 776891 858669 1578843 2330673 2517407 2576007 5438237 6992019 7552221 16314711 17621849 22656663 47830733 48944133 52865547 78039617 143492199 158596641 234118851 334815131 430476597 546277319 702356553 1004445393 1482752723 1638831957 3013336179 3320459833 4448258169 4916495871 9961379499 10379269061 13344774507 23243218831 29884138497 31137807183 63088736827 69729656493 93413421549 102934254823 189266210481 209188969479 308802764469 441621157789 567798631443 720539783761 926408293407 1324863473367 1955750841637 2161619351283 3974590420101 5867252524911 6484858053849 13690255891459 17601757574733 41070767674377 123212303023131