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2101234304 = 271361127163
BaseRepresentation
bin111110100111110…
…0100101010000000
312102102211202120202
41331033210222000
513300403444204
6544300424332
7103033124351
oct17517445200
95372752522
102101234304
11989101484
124a78480a8
13276430910
1415d0cbd28
15c470ce1e
hex7d3e4a80

2101234304 has 128 divisors (see below), whose sum is σ = 4646369280. Its totient is φ = 940584960.

The previous prime is 2101234271. The next prime is 2101234321. The reversal of 2101234304 is 4034321012.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12890927 + ... + 12891089.

It is an arithmetic number, because the mean of its divisors is an integer number (36299760).

Almost surely, 22101234304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323184640).

2101234304 is an abundant number, since it is smaller than the sum of its proper divisors (2545134976).

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

2101234304 is a wasteful number, since it uses less digits than its factorization.

2101234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2101234304 is about 45839.2223319724. Note that the first 3 decimals coincide. The cubic root of 2101234304 is about 1280.8300085445.

Adding to 2101234304 its reverse (4034321012), we get a palindrome (6135555316).

The spelling of 2101234304 in words is "two billion, one hundred one million, two hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 122 127 128 163 208 244 254 326 416 488 508 652 793 832 976 1016 1304 1586 1651 1664 1952 2032 2119 2608 3172 3302 3904 4064 4238 5216 6344 6604 7747 7808 8128 8476 9943 10432 12688 13208 15494 16256 16952 19886 20701 20864 25376 26416 30988 33904 39772 41402 50752 52832 61976 67808 79544 82804 100711 101504 105664 123952 129259 135616 159088 165608 201422 211328 247904 258518 269113 271232 318176 331216 402844 495808 517036 538226 636352 662432 805688 991616 1034072 1076452 1262761 1272704 1324864 1611376 2068144 2152904 2525522 2649728 3222752 4136288 4305808 5051044 6445504 8272576 8611616 10102088 12891008 16415893 16545152 17223232 20204176 32831786 34446464 40408352 65663572 80816704 131327144 161633408 262654288 525308576 1050617152 2101234304