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1002012011 = 7112131753101
BaseRepresentation
bin111011101110010…
…111110101101011
32120211110111001222
4323232113311223
54023003341021
6243232332255
733554650550
oct7356276553
92524414058
101002012011
11474678500
1223b6a408b
1312c792c20
1497112a27
155ce7c6ab
hex3bb97d6b

1002012011 has 96 divisors (see below), whose sum is σ = 1476849024. Its totient is φ = 658944000.

The previous prime is 1002012007. The next prime is 1002012013. The reversal of 1002012011 is 1102102001.

It is not a de Polignac number, because 1002012011 - 22 = 1002012007 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1002012011.

It is not an unprimeable number, because it can be changed into a prime (1002012013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9920861 + ... + 9920961.

It is an arithmetic number, because the mean of its divisors is an integer number (15383844).

Almost surely, 21002012011 is an apocalyptic number.

1002012011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1002012011 is a deficient number, since it is larger than the sum of its proper divisors (474837013).

1002012011 is a wasteful number, since it uses less digits than its factorization.

1002012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1002012011 is about 31654.5733030790. The cubic root of 1002012011 is about 1000.6702210367.

Adding to 1002012011 its reverse (1102102001), we get a palindrome (2104114012).

The spelling of 1002012011 in words is "one billion, two million, twelve thousand, eleven".

Divisors: 1 7 11 13 17 53 77 91 101 119 121 143 187 221 371 583 689 707 847 901 1001 1111 1309 1313 1547 1573 1717 2057 2431 4081 4823 5353 6307 6413 7579 7777 9191 9911 11011 11713 12019 12221 14399 14443 17017 18887 22321 26741 37471 44891 53053 58883 69377 69589 81991 83369 85547 91001 101101 109021 128843 132209 156247 158873 187187 207757 245531 412181 487123 583583 637007 647713 763147 765479 901901 1001011 1112111 1183013 1417273 1454299 1718717 2700841 4533991 5358353 7007077 8281091 8420269 9920911 11011121 13013143 18905887 58941883 77077847 91092001 143144573 1002012011