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12233130313131 = 32713192379109171
BaseRepresentation
bin1011001000000011111101…
…1000110000010110101011
31121022110211212220002000100
42302000333120300112223
53100411422330010011
642003453353440443
72401546241664510
oct262007730602653
947273755802010
1012233130313131
113997050165682
121456a42710123
136a976b783530
1430412db53307
15163329c03d56
hexb203f6305ab

12233130313131 has 144 divisors (see below), whose sum is σ = 23013422664960. Its totient is φ = 6096842317440.

The previous prime is 12233130313067. The next prime is 12233130313147. The reversal of 12233130313131 is 13131303133221.

12233130313131 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 313 + 0 + 31 + 313 + 1 = 666.

It is not a de Polignac number, because 12233130313131 - 26 = 12233130313067 is a prime.

It is a super-2 number, since 2×122331303131312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12233130313095 and 12233130313104.

It is not an unprimeable number, because it can be changed into a prime (12233130323131) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 112000176 + ... + 112109346.

Almost surely, 212233130313131 is an apocalyptic number.

12233130313131 is a deficient number, since it is larger than the sum of its proper divisors (10780292351829).

12233130313131 is a wasteful number, since it uses less digits than its factorization.

12233130313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109614 (or 109592 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 12233130313131 its reverse (13131303133221), we get a palindrome (25364433446352).

The spelling of 12233130313131 in words is "twelve trillion, two hundred thirty-three billion, one hundred thirty million, three hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 7 9 13 19 21 39 57 63 91 117 133 171 247 273 361 379 399 741 819 1083 1137 1197 1729 2223 2527 2653 3249 3411 4693 4927 5187 7201 7581 7959 14079 14781 15561 21603 22743 23877 32851 34489 42237 44343 50407 64809 93613 98553 103467 109171 136819 151221 280839 295659 310401 327513 410457 453663 655291 764197 842517 957733 982539 1231371 1419223 1778647 1965873 2074249 2292591 2873199 4257669 5335941 5897619 6222747 6877773 8619597 9934561 12450529 12773007 14519743 16007823 18668241 26965237 29803683 37351587 39410731 41375809 43559229 80895711 89411049 112054761 118232193 124127427 130677687 188756659 242687133 275875117 289630663 354696579 372382281 512339503 537885517 566269977 786140371 827625351 868891989 1537018509 1613656551 1698809931 2358421113 2482876053 2606675967 3586376521 3765198619 4611055527 4840969653 5502982597 7075263339 10219824823 10759129563 11295595857 14936667049 16508947791 30659474469 32277388689 33886787571 44810001147 49526843373 71538773761 91978423407 104556669343 134430003441 194176671637 214616321283 313670008029 582530014911 643848963849 941010024087 1359236701459 1747590044733 4077710104377 12233130313131