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1001002012011 = 34293071388077
BaseRepresentation
bin11101001000100000101…
…11101000110101101011
310112200202112212220120000
432210100113220311223
5112400023003341021
62043504243034043
7132214522466601
oct16442027506553
93480675786500
101001002012011
113565825a33a1
1214200166b923
1373517a5b761
143663d559871
151b0896e3b26
hexe9105e8d6b

1001002012011 has 40 divisors (see below), whose sum is σ = 1551926727120. Its totient is φ = 642223899072.

The previous prime is 1001002011983. The next prime is 1001002012013. The reversal of 1001002012011 is 1102102001001.

It is a happy number.

1001002012011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001002012011 - 219 = 1001001487723 is a prime.

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 = 1001002011984 and 1001002012002.

It is not an unprimeable number, because it can be changed into a prime (1001002012013) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27105 + ... + 1415181.

It is an arithmetic number, because the mean of its divisors is an integer number (38798168178).

Almost surely, 21001002012011 is an apocalyptic number.

1001002012011 is a deficient number, since it is larger than the sum of its proper divisors (550924715109).

1001002012011 is a wasteful number, since it uses less digits than its factorization.

1001002012011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388425 (or 1388416 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001002012011 its reverse (1102102001001), we get a palindrome (2103104013012).

The spelling of 1001002012011 in words is "one trillion, one billion, two million, twelve thousand, eleven".

Divisors: 1 3 9 27 29 81 87 261 307 783 921 2349 2763 8289 8903 24867 26709 80127 240381 721143 1388077 4164231 12492693 37478079 40254233 112434237 120762699 362288097 426139639 1086864291 1278418917 3260592873 3835256751 11505770253 12358049531 34517310759 37074148593 111222445779 333667337337 1001002012011