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1230106311 = 33729271109
BaseRepresentation
bin100100101010001…
…1110111011000111
310011201122212122000
41021110132323013
510004401400221
6322021240343
742324505530
oct11124367307
93151585560
101230106311
115813aa095
122a3b630b3
13167b05975
14b9529687
1572ed5e26
hex4951eec7

1230106311 has 96 divisors (see below), whose sum is σ = 2207462400. Its totient is φ = 662981760.

The previous prime is 1230106307. The next prime is 1230106331. The reversal of 1230106311 is 1136010321.

1230106311 is a `hidden beast` number, since 1 + 2 + 30 + 1 + 0 + 631 + 1 = 666.

It is not a de Polignac number, because 1230106311 - 22 = 1230106307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230106331) 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 95 ways as a sum of consecutive naturals, for example, 11285325 + ... + 11285433.

It is an arithmetic number, because the mean of its divisors is an integer number (22994400).

Almost surely, 21230106311 is an apocalyptic number.

1230106311 is a deficient number, since it is larger than the sum of its proper divisors (977356089).

1230106311 is a wasteful number, since it uses less digits than its factorization.

1230106311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 219 counting only the distinct ones).

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

The square root of 1230106311 is about 35072.8714393333. The cubic root of 1230106311 is about 1071.4721376342.

Adding to 1230106311 its reverse (1136010321), we get a palindrome (2366116632).

The spelling of 1230106311 in words is "one billion, two hundred thirty million, one hundred six thousand, three hundred eleven".

Divisors: 1 3 7 9 21 27 29 63 71 87 109 189 203 213 261 327 497 609 639 763 783 841 981 1491 1827 1917 2059 2289 2523 2943 3161 4473 5481 5887 6177 6867 7569 7739 9483 13419 14413 17661 18531 20601 22127 22707 23217 28449 43239 52983 54173 55593 59711 66381 69651 85347 91669 129717 158949 162519 179133 199143 208953 224431 275007 389151 417977 487557 537399 597429 641683 673293 825021 1253931 1462671 1571017 1612197 1925049 2019879 2475063 3761793 4713051 5775147 6059637 6508499 11285379 14139153 17325441 19525497 42417459 45559493 58576491 136678479 175729473 410035437 1230106311