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311442102300104 = 231710747982953897
BaseRepresentation
bin100011011010000010100001…
…1111000000010110111001000
31111211201120111121002002020122
41012310011003320002313020
5311310131411142100404
63022214305430242412
7122412643425342146
oct10664050370026710
91454646447062218
10311442102300104
1190264943518a76
122ab1b695ab6408
13104a1b309314c9
1456c9c41a26596
1526014ccc673be
hex11b4143e02dc8

311442102300104 has 128 divisors (see below), whose sum is σ = 626151606912000. Its totient is φ = 144710687563776.

The previous prime is 311442102300013. The next prime is 311442102300113. The reversal of 311442102300104 is 401003201244113.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5778441284 + ... + 5778495180.

It is an arithmetic number, because the mean of its divisors is an integer number (4891809429000).

Almost surely, 2311442102300104 is an apocalyptic number.

311442102300104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

311442102300104 is an abundant number, since it is smaller than the sum of its proper divisors (314709504611896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311442102300104 is a wasteful number, since it uses less digits than its factorization.

311442102300104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55335 (or 55331 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 311442102300104 its reverse (401003201244113), we get a palindrome (712445303544217).

The spelling of 311442102300104 in words is "three hundred eleven trillion, four hundred forty-two billion, one hundred two million, three hundred thousand, one hundred four".

Divisors: 1 2 4 8 17 34 68 107 136 214 428 479 829 856 958 1658 1819 1916 3316 3638 3832 6632 7276 8143 14093 14552 16286 28186 32572 51253 53897 56372 65144 88703 102506 107794 112744 177406 205012 215588 354812 397091 410024 431176 709624 794182 871301 916249 1507951 1588364 1742602 1832498 3015902 3176728 3485204 3664996 5766979 6031804 6750547 6970408 7329992 11533958 12063608 13501094 23067916 25816663 27002188 42488737 44680613 46135832 51633326 54004376 84977474 89361226 98038643 103266652 169954948 178722452 196077286 206533304 339909896 357444904 392154572 438883271 722308529 759570421 784309144 877766542 1444617058 1519140842 1755533084 2762382941 2889234116 3038281684 3511066168 4780825591 5524765882 5778468232 6076563368 9561651182 11049531764 19123302364 21402013627 22099063528 38246604728 42804027254 46960509997 81274035047 85608054508 93921019994 162548070094 171216109016 187842039988 325096140188 363834231659 375684079976 650192280376 727668463318 1455336926636 2290015458089 2910673853272 4580030916178 9160061832356 18320123664712 38930262787513 77860525575026 155721051150052 311442102300104