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2010133021 = 131937331093
BaseRepresentation
bin111011111010000…
…0011001000011101
312012002102100010011
41313310003020131
513104043224041
6531244043221
7100545564061
oct16764031035
95162370104
102010133021
11941738766
12481233511
132605b4630
14150d75aa1
15bb714e81
hex77d0321d

2010133021 has 16 divisors (see below), whose sum is σ = 2180937136. Its totient is φ = 1841688576.

The previous prime is 2010132991. The next prime is 2010133051. The reversal of 2010133021 is 1203310102.

It is an interprime number because it is at equal distance from previous prime (2010132991) and next prime (2010133051).

It can be written as a sum of positive squares in 8 ways, for example, as 199204996 + 1810928025 = 14114^2 + 42555^2 .

It is not a de Polignac number, because 2010133021 - 223 = 2001744413 is a prime.

It is a super-2 number, since 2×20101330212 = 8081269524229172882, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2010132992 and 2010133010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010133051) 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, 1838551 + ... + 1839643.

It is an arithmetic number, because the mean of its divisors is an integer number (136308571).

Almost surely, 22010133021 is an apocalyptic number.

It is an amenable number.

2010133021 is a deficient number, since it is larger than the sum of its proper divisors (170804115).

2010133021 is a wasteful number, since it uses less digits than its factorization.

2010133021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2010133021 is about 44834.5070342030. The cubic root of 2010133021 is about 1262.0452675429.

Adding to 2010133021 its reverse (1203310102), we get a palindrome (3213443123).

The spelling of 2010133021 in words is "two billion, ten million, one hundred thirty-three thousand, twenty-one".

Divisors: 1 13 193 733 1093 2509 9529 14209 141469 210949 801169 1839097 2742337 10415197 154625617 2010133021