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2101001130 = 2325314118367
BaseRepresentation
bin111110100111010…
…1011101110101010
312102102101220201200
41331032223232222
513300324014010
6544251425030
7103031133504
oct17516535652
95372356650
102101001130
11988a62278
124a7755176
1327637b747
1415d06ad74
15c46b3cc0
hex7d3abbaa

2101001130 has 96 divisors (see below), whose sum is σ = 5776662528. Its totient is φ = 528940800.

The previous prime is 2101001093. The next prime is 2101001131. The reversal of 2101001130 is 311001012.

It is a super-2 number, since 2×21010011302 = 8828411496522553800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2101001131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105207 + ... + 123573.

It is an arithmetic number, because the mean of its divisors is an integer number (60173568).

Almost surely, 22101001130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101001130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888331264).

2101001130 is an abundant number, since it is smaller than the sum of its proper divisors (3675661398).

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

2101001130 is a wasteful number, since it uses less digits than its factorization.

2101001130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18452 (or 18449 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2101001130 is about 45836.6788718380. The cubic root of 2101001130 is about 1280.7826288839.

Adding to 2101001130 its reverse (311001012), we get a palindrome (2412002142).

The spelling of 2101001130 in words is "two billion, one hundred one million, one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 41 45 62 82 90 93 123 155 186 205 246 279 310 369 410 465 558 615 738 930 1230 1271 1395 1845 2542 2790 3690 3813 6355 7626 11439 12710 18367 19065 22878 36734 38130 55101 57195 91835 110202 114390 165303 183670 275505 330606 551010 569377 753047 826515 1138754 1506094 1653030 1708131 2259141 2846885 3416262 3765235 4518282 5124393 5693770 6777423 7530470 8540655 10248786 11295705 13554846 17081310 22591410 23344457 25621965 33887115 46688914 51243930 67774230 70033371 116722285 140066742 210100113 233444570 350166855 420200226 700333710 1050500565 2101001130