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312342230404113 = 372131072399636731
BaseRepresentation
bin100011100000100101101011…
…1101100010000110000010001
31111221220121220001220112010220
41013001023113230100300101
5311414403341440412423
63024144012331343253
7122534660433105600
oct10701132754206021
91457817801815126
10312342230404113
1190581661355248
122b046024bb1b29
1310538990ac10b0
14571b632037a37
152619b1164a9e3
hex11c12d7b10c11

312342230404113 has 96 divisors (see below), whose sum is σ = 526810662604800. Its totient is φ = 163143918241920.

The previous prime is 312342230404069. The next prime is 312342230404163. The reversal of 312342230404113 is 311404032243213.

It is not a de Polignac number, because 312342230404113 - 217 = 312342230273041 is a prime.

It is a super-2 number, since 2×3123422304041132 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312342230404163) 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, 490221958 + ... + 490858688.

It is an arithmetic number, because the mean of its divisors is an integer number (5487611068800).

Almost surely, 2312342230404113 is an apocalyptic number.

It is an amenable number.

312342230404113 is a deficient number, since it is larger than the sum of its proper divisors (214468432200687).

312342230404113 is a wasteful number, since it uses less digits than its factorization.

312342230404113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639267 (or 639260 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 312342230404113 its reverse (311404032243213), we get a palindrome (623746262647326).

The spelling of 312342230404113 in words is "three hundred twelve trillion, three hundred forty-two billion, two hundred thirty million, four hundred four thousand, one hundred thirteen".

Divisors: 1 3 7 13 21 39 49 91 107 147 273 321 637 749 1391 1911 2247 2399 4173 5243 7197 9737 15729 16793 29211 31187 50379 68159 93561 117551 204477 218309 256693 352653 636731 654927 770079 1528163 1796851 1910193 3337009 4457117 4584489 5390553 8277503 10011027 12577957 13371351 23359063 24832509 31199819 37733871 57942521 68130217 70077189 93599457 163513441 173827563 204390651 405597647 476911519 490540323 885692821 1216792941 1430734557 1527517669 2657078463 3338380633 4582553007 6199849747 10015141899 10692623683 18599549241 19857729697 32077871049 43398948229 59573189091 74848365781 130196844687 139004107879 163444390583 224545097343 417012323637 490333171749 973028755153 1144110734081 2124777077579 2919086265459 3432332202243 6374331232737 8008775138567 14873439543053 24026325415701 44620318629159 104114076801371 312342230404113