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2102014104330 = 2357171021576689
BaseRepresentation
bin11110100101101001110…
…011011101001100001010
321102221122222101021221110
4132211221303131030022
5233414411102314310
64245352453151150
7304602604040610
oct36455163351412
97387588337843
102102014104330
11740506187318
1229b47432b4b6
131232b0418c0a
1473a491db6b0
1539a28e63d20
hex1e969cdd30a

2102014104330 has 128 divisors (see below), whose sum is σ = 6110662602240. Its totient is φ = 451754311680.

The previous prime is 2102014104287. The next prime is 2102014104343. The reversal of 2102014104330 is 334014102012.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2102014104297 and 2102014104306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3356626 + ... + 3933314.

It is an arithmetic number, because the mean of its divisors is an integer number (47739551580).

Almost surely, 22102014104330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102014104330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055331301120).

2102014104330 is an abundant number, since it is smaller than the sum of its proper divisors (4008648497910).

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

2102014104330 is a wasteful number, since it uses less digits than its factorization.

2102014104330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577744.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2102014104330 its reverse (334014102012), we get a palindrome (2436028206342).

The spelling of 2102014104330 in words is "two trillion, one hundred two billion, fourteen million, one hundred four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1021 1190 1785 2042 3063 3570 5105 6126 7147 10210 14294 15315 17357 21441 30630 34714 35735 42882 52071 71470 86785 104142 107205 121499 173570 214410 242998 260355 364497 520710 576689 607495 728994 1153378 1214990 1730067 1822485 2883445 3460134 3644970 4036823 5766890 8073646 8650335 9803713 12110469 17300670 19607426 20184115 24220938 29411139 40368230 49018565 58822278 60552345 68625991 98037130 121104690 137251982 147055695 205877973 294111390 343129955 411755946 588799469 686259910 1029389865 1177598938 1766398407 2058779730 2943997345 3532796814 4121596283 5887994690 8243192566 8831992035 10009590973 12364788849 17663984070 20019181946 20607981415 24729577698 30028772919 41215962830 50047954865 60057545838 61823944245 70067136811 100095909730 123647888490 140134273622 150143864595 210201410433 300287729190 350335684055 420402820866 700671368110 1051007052165 2102014104330