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1002012120011 = 72131269580301
BaseRepresentation
bin11101001010011001001…
…00111001001111001011
310112210100221120201020102
432211030210321033023
5112404110100320021
62044152405120015
7132251536330100
oct16451444711713
93483327521212
101002012120011
11356a507a04a1
121422439b900b
13736490c76b6
14366d7778aa7
151b0e822000b
hexe94c9393cb

1002012120011 has 24 divisors (see below), whose sum is σ = 1178871906960. Its totient is φ = 849141384000.

The previous prime is 1002012119971. The next prime is 1002012120029. The reversal of 1002012120011 is 1100212102001.

It is a de Polignac number, because none of the positive numbers 2k-1002012120011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002012119974 and 1002012120001.

It is not an unprimeable number, because it can be changed into a prime (1002012120311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1436561 + ... + 2016861.

It is an arithmetic number, because the mean of its divisors is an integer number (49119662790).

Almost surely, 21002012120011 is an apocalyptic number.

1002012120011 is a deficient number, since it is larger than the sum of its proper divisors (176859786949).

1002012120011 is a wasteful number, since it uses less digits than its factorization.

1002012120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580715 (or 580708 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1002012120011 its reverse (1100212102001), we get a palindrome (2102224222012).

The spelling of 1002012120011 in words is "one trillion, two billion, twelve million, one hundred twenty thousand, eleven".

Divisors: 1 7 49 131 269 917 1883 6419 13181 35239 246673 580301 1726711 4062107 28434749 76019431 156100969 532136017 1092706783 3724952119 7648947481 20449226939 143144588573 1002012120011