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1003112132211 = 3375307471599
BaseRepresentation
bin11101001100011100010…
…01000110111001110011
310112220012121110010022000
432212032021012321303
5112413333201212321
62044453502145043
7132321024303540
oct16461611067163
93486177403260
101003112132211
11357465713992
121424b0282183
1373792c80aa7
143679d8bbbc7
151b15eaa9826
hexe98e246e73

1003112132211 has 16 divisors (see below), whose sum is σ = 1698390912000. Its totient is φ = 573206932584.

The previous prime is 1003112132177. The next prime is 1003112132213. The reversal of 1003112132211 is 1122312113001.

1003112132211 is a `hidden beast` number, since 1 + 0 + 0 + 311 + 21 + 322 + 11 = 666.

It is not a de Polignac number, because 1003112132211 - 230 = 1002038390387 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1003112132213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2653735611 + ... + 2653735988.

It is an arithmetic number, because the mean of its divisors is an integer number (106149432000).

Almost surely, 21003112132211 is an apocalyptic number.

1003112132211 is a deficient number, since it is larger than the sum of its proper divisors (695278779789).

1003112132211 is an equidigital number, since it uses as much as digits as its factorization.

1003112132211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5307471615 (or 5307471609 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1003112132211 its reverse (1122312113001), we get a palindrome (2125424245212).

The spelling of 1003112132211 in words is "one trillion, three billion, one hundred twelve million, one hundred thirty-two thousand, two hundred eleven".

Divisors: 1 3 7 9 21 27 63 189 5307471599 15922414797 37152301193 47767244391 111456903579 143301733173 334370710737 1003112132211