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2010130020 = 22365137869
BaseRepresentation
bin111011111010000…
…0010011001100100
312012002102012000000
41313310002121210
513104043130040
6531244021300
7100545552243
oct16764023144
95162365000
102010130020
11941736488
12481231830
132605b3162
14150d7495a
15bb714130
hex77d02664

2010130020 has 84 divisors (see below), whose sum is σ = 6329060220. Its totient is φ = 536030784.

The previous prime is 2010130019. The next prime is 2010130021. The reversal of 2010130020 is 200310102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2010130019) and next prime (2010130021).

It can be written as a sum of positive squares in 2 ways, for example, as 321413184 + 1688716836 = 17928^2 + 41094^2 .

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 = 2010129984 and 2010130011.

It is not an unprimeable number, because it can be changed into a prime (2010130021) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 54355 + ... + 83514.

It is an arithmetic number, because the mean of its divisors is an integer number (75345955).

Almost surely, 22010130020 is an apocalyptic number.

2010130020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010130020 is an abundant number, since it is smaller than the sum of its proper divisors (4318930200).

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

2010130020 is a wasteful number, since it uses less digits than its factorization.

2010130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137896 (or 137879 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2010130020 is about 44834.4735666652. The cubic root of 2010130020 is about 1262.0446394916.

Adding to 2010130020 its reverse (200310102), we get a palindrome (2210440122).

The spelling of 2010130020 in words is "two billion, ten million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 137869 275738 413607 551476 689345 827214 1240821 1378690 1654428 2068035 2481642 2757380 3722463 4136070 4963284 6204105 7444926 8272140 11167389 12408210 14889852 18612315 22334778 24816420 33502167 37224630 44669556 55836945 67004334 74449260 100506501 111673890 134008668 167510835 201013002 223347780 335021670 402026004 502532505 670043340 1005065010 2010130020