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102111313330 = 251329791672053
BaseRepresentation
bin101111100011001001…
…1101111110110110010
3100202120022110011122201
41133012103233312302
53133110444011310
6114524223453414
710243261561645
oct1370623576662
9322508404581
10102111313330
113a33a1a1054
1217958a5726a
13982405bb80
144d29613a5c
1529c9788e3a
hex17c64efdb2

102111313330 has 128 divisors (see below), whose sum is σ = 208699545600. Its totient is φ = 35709133824.

The previous prime is 102111313319. The next prime is 102111313357. The reversal of 102111313330 is 33313111201.

102111313330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102111313298 and 102111313307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49736584 + ... + 49738636.

It is an arithmetic number, because the mean of its divisors is an integer number (1630465200).

Almost surely, 2102111313330 is an apocalyptic number.

102111313330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102111313330 is an abundant number, since it is smaller than the sum of its proper divisors (106588232270).

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

102111313330 is a wasteful number, since it uses less digits than its factorization.

102111313330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 102111313330 its reverse (33313111201), we get a palindrome (135424424531).

The spelling of 102111313330 in words is "one hundred two billion, one hundred eleven million, three hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 5 10 13 26 29 58 65 79 130 145 158 167 290 334 377 395 754 790 835 1027 1670 1885 2053 2054 2171 2291 3770 4106 4342 4582 4843 5135 9686 10265 10270 10855 11455 13193 20530 21710 22910 24215 26386 26689 29783 48430 53378 59537 59566 62959 65965 119074 125918 131930 133445 148915 162187 171509 266890 297685 297830 314795 324374 342851 343018 382597 595370 629590 685702 765194 773981 810935 857545 1547962 1621870 1714255 1715090 1912985 2108431 3428510 3825970 3869905 4216862 4457063 4703423 4973761 7739810 8914126 9406846 9942679 9947522 10542155 19885358 21084310 22285315 23517115 24868805 27085229 44570630 47034230 49713395 49737610 54170458 61144499 99426790 122288998 129254827 135426145 258509654 270852290 305722495 352107977 611444990 646274135 704215954 785471641 1292548270 1570943282 1760539885 3521079770 3927358205 7854716410 10211131333 20422262666 51055656665 102111313330