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1003220023311 = 321110133535589
BaseRepresentation
bin11101001100101001001…
…00101011100000001111
310112220111010110120001200
432212110210223200033
5112414043311221221
62044512314440543
7132323504333052
oct16462444534017
93486433416050
101003220023311
11357510605090
12142520433153
13737ac42828c
14367add64a99
151b1692bc426
hexe99492b80f

1003220023311 has 12 divisors (see below), whose sum is σ = 1580831552040. Its totient is φ = 608012135280.

The previous prime is 1003220023301. The next prime is 1003220023369. The reversal of 1003220023311 is 1133200223001.

1003220023311 is a `hidden beast` number, since 10 + 0 + 322 + 0 + 0 + 2 + 331 + 1 = 666.

It is not a de Polignac number, because 1003220023311 - 214 = 1003220006927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003220023301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5066767696 + ... + 5066767893.

It is an arithmetic number, because the mean of its divisors is an integer number (131735962670).

Almost surely, 21003220023311 is an apocalyptic number.

1003220023311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1003220023311 is a deficient number, since it is larger than the sum of its proper divisors (577611528729).

1003220023311 is a wasteful number, since it uses less digits than its factorization.

1003220023311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10133535606 (or 10133535603 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1003220023311 its reverse (1133200223001), we get a palindrome (2136420246312).

The spelling of 1003220023311 in words is "one trillion, three billion, two hundred twenty million, twenty-three thousand, three hundred eleven".

Divisors: 1 3 9 11 33 99 10133535589 30400606767 91201820301 111468891479 334406674437 1003220023311