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1011001212011 = 72935571400141
BaseRepresentation
bin11101011011001000101…
…11100011110001101011
310120122120102010220021202
432231210113203301223
5113031012302241021
62052240400354415
7133020360340310
oct16554427436153
93518512126252
101011001212011
1135a84391134a
12143b32315a0b
137444c528a4b
1436d0b550d07
151b472494a0b
hexeb645e3c6b

1011001212011 has 16 divisors (see below), whose sum is σ = 1195609256640. Its totient is φ = 836454837120.

The previous prime is 1011001212007. The next prime is 1011001212019. The reversal of 1011001212011 is 1102121001101.

It is not a de Polignac number, because 1011001212011 - 22 = 1011001212007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011001211983 and 1011001212001.

It is not an unprimeable number, because it can be changed into a prime (1011001212019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22001 + ... + 1422141.

It is an arithmetic number, because the mean of its divisors is an integer number (74725578540).

Almost surely, 21011001212011 is an apocalyptic number.

1011001212011 is a deficient number, since it is larger than the sum of its proper divisors (184608044629).

1011001212011 is a wasteful number, since it uses less digits than its factorization.

1011001212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403734.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1011001212011 its reverse (1102121001101), we get a palindrome (2113122213112).

The spelling of 1011001212011 in words is "one trillion, eleven billion, one million, two hundred twelve thousand, eleven".

Divisors: 1 7 29 203 3557 24899 103153 722071 1400141 9800987 40604089 284228623 4980301537 34862110759 144428744573 1011001212011