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2012120010 = 232589251201
BaseRepresentation
bin111011111101110…
…1000001111001010
312012020011021202100
41313323220033022
513110100320020
6531354414230
7100601511045
oct16773501712
95166137670
102012120010
119428755aa
12481a31376
13260b2bb74
14151331c5c
15bb9a8a90
hex77ee83ca

2012120010 has 48 divisors (see below), whose sum is σ = 5290314120. Its totient is φ = 530534400.

The previous prime is 2012120009. The next prime is 2012120023. The reversal of 2012120010 is 100212102.

It can be written as a sum of positive squares in 4 ways, for example, as 1284577281 + 727542729 = 35841^2 + 26973^2 .

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 = 2012119974 and 2012120001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117591 + ... + 133610.

Almost surely, 22012120010 is an apocalyptic number.

2012120010 is an abundant number, since it is smaller than the sum of its proper divisors (3278194110).

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

2012120010 is a wasteful number, since it uses less digits than its factorization.

2012120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251303 (or 251300 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2012120010 is about 44856.6607094197. The cubic root of 2012120010 is about 1262.4609687636.

Adding to 2012120010 its reverse (100212102), we get a palindrome (2112332112).

The spelling of 2012120010 in words is "two billion, twelve million, one hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 801 890 1335 1602 2670 4005 8010 251201 502402 753603 1256005 1507206 2260809 2512010 3768015 4521618 7536030 11304045 22356889 22608090 44713778 67070667 111784445 134141334 201212001 223568890 335353335 402424002 670706670 1006060005 2012120010