Search a number
-
+
2010131010 = 2325113239827
BaseRepresentation
bin111011111010000…
…0010101001000010
312012002102020100200
41313310002221002
513104043143020
6531244030030
7100545555156
oct16764025102
95162366320
102010131010
119417371a8
12481232316
132605b3744
14150d75066
15bb714590
hex77d02a42

2010131010 has 96 divisors (see below), whose sum is σ = 5301054720. Its totient is φ = 528428544.

The previous prime is 2010130999. The next prime is 2010131029. The reversal of 2010131010 is 101310102.

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

It is a junction number, because it is equal to n+sod(n) for n = 2010130983 and 2010131001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2430217 + ... + 2431043.

It is an arithmetic number, because the mean of its divisors is an integer number (55219320).

Almost surely, 22010131010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010131010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650527360).

2010131010 is an abundant number, since it is smaller than the sum of its proper divisors (3290923710).

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

2010131010 is a wasteful number, since it uses less digits than its factorization.

2010131010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1189 counting only the distinct ones).

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

The square root of 2010131010 is about 44834.4846072752. The cubic root of 2010131010 is about 1262.0448466796.

Adding to 2010131010 its reverse (101310102), we get a palindrome (2111441112).

The spelling of 2010131010 in words is "two billion, ten million, one hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 239 339 478 565 678 717 827 1017 1130 1195 1434 1654 1695 2034 2151 2390 2481 3390 3585 4135 4302 4962 5085 7170 7443 8270 10170 10755 12405 14886 21510 24810 27007 37215 54014 74430 81021 93451 135035 162042 186902 197653 243063 270070 280353 395306 405105 467255 486126 560706 592959 810210 841059 934510 988265 1185918 1215315 1401765 1682118 1778877 1976530 2430630 2803530 2964795 3557754 4205295 5929590 8410590 8894385 17788770 22334789 44669578 67004367 111673945 134008734 201013101 223347890 335021835 402026202 670043670 1005065505 2010131010