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2010292011 = 327132434391
BaseRepresentation
bin111011111010010…
…1001111100101011
312012002201102012200
41313310221330223
513104113321021
6531251311243
7100550125440
oct16764517453
95162642180
102010292011
11941837162
124812ab523
1326063bb00
14150db79c7
15bb747126
hex77d29f2b

2010292011 has 72 divisors (see below), whose sum is σ = 3677895936. Its totient is φ = 1035478080.

The previous prime is 2010291991. The next prime is 2010292013. The reversal of 2010292011 is 1102920102.

It is not a de Polignac number, because 2010292011 - 26 = 2010291947 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010292013) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 455626 + ... + 460016.

It is an arithmetic number, because the mean of its divisors is an integer number (51081888).

Almost surely, 22010292011 is an apocalyptic number.

2010292011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2010292011 is a deficient number, since it is larger than the sum of its proper divisors (1667603925).

2010292011 is a wasteful number, since it uses less digits than its factorization.

2010292011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4473 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 2010292011 is about 44836.2800754032. The cubic root of 2010292011 is about 1262.0785401813.

The spelling of 2010292011 in words is "two billion, ten million, two hundred ninety-two thousand, eleven".

Divisors: 1 3 7 9 13 21 39 43 63 91 117 129 169 273 301 387 507 559 819 903 1183 1521 1677 2709 3549 3913 4391 5031 7267 10647 11739 13173 21801 30737 35217 39519 50869 57083 65403 92211 152607 171249 188813 276633 399581 457821 513747 566439 742079 1198743 1321691 1699317 2226237 2454569 3596229 3965073 5194553 6678711 7363707 11895219 15583659 17181983 22091121 31909397 46750977 51545949 95728191 154637847 223365779 287184573 670097337 2010292011