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2101313320 = 235295930703
BaseRepresentation
bin111110100111111…
…0111111100101000
312102102222202222021
41331033313330220
513300414011240
6544302234224
7103033603621
oct17517677450
95372882867
102101313320
11989155887
124a7885974
1327645a882
1415d10ca48
15c472654a
hex7d3f7f28

2101313320 has 64 divisors (see below), whose sum is σ = 4974048000. Its totient is φ = 797760768.

The previous prime is 2101313317. The next prime is 2101313329. The reversal of 2101313320 is 233131012.

It is a junction number, because it is equal to n+sod(n) for n = 2101313294 and 2101313303.

It is not an unprimeable number, because it can be changed into a prime (2101313329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53089 + ... + 83791.

It is an arithmetic number, because the mean of its divisors is an integer number (77719500).

Almost surely, 22101313320 is an apocalyptic number.

2101313320 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 2101313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487024000).

2101313320 is an abundant number, since it is smaller than the sum of its proper divisors (2872734680).

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

2101313320 is a wasteful number, since it uses less digits than its factorization.

2101313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30802 (or 30798 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2101313320 is about 45840.0842058563. The cubic root of 2101313320 is about 1280.8460633613.

Adding to 2101313320 its reverse (233131012), we get a palindrome (2334444332).

The spelling of 2101313320 in words is "two billion, one hundred one million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 59 116 118 145 232 236 290 295 472 580 590 1160 1180 1711 2360 3422 6844 8555 13688 17110 30703 34220 61406 68440 122812 153515 245624 307030 614060 890387 1228120 1780774 1811477 3561548 3622954 4451935 7123096 7245908 8903870 9057385 14491816 17807740 18114770 35615480 36229540 52532833 72459080 105065666 210131332 262664165 420262664 525328330 1050656660 2101313320