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2001311130 = 2357133719813
BaseRepresentation
bin111011101001001…
…1001010110011010
312011110211010202110
41313102121112122
513044313424010
6530331013150
7100410602220
oct16722312632
95143733673
102001311130
11937762745
1247a29a1b6
1325b816090
1414db1ab10
15baa71120
hex7749959a

2001311130 has 128 divisors (see below), whose sum is σ = 6071643648. Its totient is φ = 410821632.

The previous prime is 2001311129. The next prime is 2001311149. The reversal of 2001311130 is 311131002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91104 + ... + 110916.

It is an arithmetic number, because the mean of its divisors is an integer number (47434716).

Almost surely, 22001311130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001311130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035821824).

2001311130 is an abundant number, since it is smaller than the sum of its proper divisors (4070332518).

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

2001311130 is a wasteful number, since it uses less digits than its factorization.

2001311130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19880.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 2001311130 is about 44736.0160273576. The cubic root of 2001311130 is about 1260.1963098011.

Adding to 2001311130 its reverse (311131002), we get a palindrome (2312442132).

The spelling of 2001311130 in words is "two billion, one million, three hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 37 39 42 65 70 74 78 91 105 111 130 182 185 195 210 222 259 273 370 390 455 481 518 546 555 777 910 962 1110 1295 1365 1443 1554 2405 2590 2730 2886 3367 3885 4810 6734 7215 7770 10101 14430 16835 19813 20202 33670 39626 50505 59439 99065 101010 118878 138691 198130 257569 277382 297195 416073 515138 594390 693455 733081 772707 832146 1287845 1386910 1466162 1545414 1802983 2080365 2199243 2575690 3605966 3665405 3863535 4160730 4398486 5131567 5408949 7330810 7727070 9014915 9530053 10263134 10817898 10996215 15394701 18029830 19060106 21992430 25657835 27044745 28590159 30789402 47650265 51315670 54089490 57180318 66710371 76973505 95300530 133420742 142950795 153947010 200131113 285901590 333551855 400262226 667103710 1000655565 2001311130