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2011002002120 = 235411226220733
BaseRepresentation
bin11101010000111001000…
…011110101101011001000
321010020202012001110121002
4131100321003311223020
5230422013003031440
64135501440034132
7265201334660006
oct35207103655310
97106665043532
102011002002120
11705952226921
122858b4602948
13117837a100b7
146d493b21a76
153749dd15115
hex1d4390f5ac8

2011002002120 has 32 divisors (see below), whose sum is σ = 4635114374520. Its totient is φ = 784781268480.

The previous prime is 2011002002083. The next prime is 2011002002129. The reversal of 2011002002120 is 212002001102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 724306527844 + 1286695474276 = 851062^2 + 1134326^2 .

It is not an unprimeable number, because it can be changed into a prime (2011002002129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 613108727 + ... + 613112006.

Almost surely, 22011002002120 is an apocalyptic number.

2011002002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011002002120 is an abundant number, since it is smaller than the sum of its proper divisors (2624112372400).

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

2011002002120 is a wasteful number, since it uses less digits than its factorization.

2011002002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226220785 (or 1226220781 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2011002002120 its reverse (212002001102), we get a palindrome (2223004003222).

The spelling of 2011002002120 in words is "two trillion, eleven billion, two million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 1226220733 2452441466 4904882932 6131103665 9809765864 12262207330 24524414660 49048829320 50275050053 100550100106 201100200212 251375250265 402200400424 502750500530 1005501001060 2011002002120