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2101011320 = 235791634079
BaseRepresentation
bin111110100111010…
…1110001101111000
312102102102102201002
41331032232031320
513300324330240
6544251544132
7103031205302
oct17516561570
95372372632
102101011320
11988a699a1
124a775b048
13276383285
1415d070972
15c46b6d15
hex7d3ae378

2101011320 has 64 divisors (see below), whose sum is σ = 4817664000. Its totient is φ = 824473728.

The previous prime is 2101011281. The next prime is 2101011331. The reversal of 2101011320 is 231101012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513041 + ... + 517119.

It is an arithmetic number, because the mean of its divisors is an integer number (75276000).

Almost surely, 22101011320 is an apocalyptic number.

2101011320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408832000).

2101011320 is an abundant number, since it is smaller than the sum of its proper divisors (2716652680).

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

2101011320 is a wasteful number, since it uses less digits than its factorization.

2101011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332 (or 4328 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2101011320 is about 45836.7900272259. The cubic root of 2101011320 is about 1280.7846995085.

Adding to 2101011320 its reverse (231101012), we get a palindrome (2332112332).

The spelling of 2101011320 in words is "two billion, one hundred one million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 79 158 163 316 326 395 632 652 790 815 1304 1580 1630 3160 3260 4079 6520 8158 12877 16316 20395 25754 32632 40790 51508 64385 81580 103016 128770 163160 257540 322241 515080 644482 664877 1288964 1329754 1611205 2577928 2659508 3222410 3324385 5319016 6444820 6648770 12889640 13297540 26595080 52525283 105050566 210101132 262626415 420202264 525252830 1050505660 2101011320