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1003211020133 = 71719785356501
BaseRepresentation
bin11101001100101000000…
…10010101011101100101
310112220110111112011000122
432212110002111131211
5112414034010121013
62044511353451325
7132323334654530
oct16462402253545
93486414464018
101003211020133
11357506515943
12142519410b45
13737aa5c535a
14367aca9da17
151b1685dea08
hexe994095765

1003211020133 has 32 divisors (see below), whose sum is σ = 1278048119040. Its totient is φ = 766606464000.

The previous prime is 1003211020129. The next prime is 1003211020153. The reversal of 1003211020133 is 3310201123001.

It is a cyclic number.

It is not a de Polignac number, because 1003211020133 - 22 = 1003211020129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003211020153) 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 31 ways as a sum of consecutive naturals, for example, 17727383 + ... + 17783883.

It is an arithmetic number, because the mean of its divisors is an integer number (39939003720).

Almost surely, 21003211020133 is an apocalyptic number.

It is an amenable number.

1003211020133 is a deficient number, since it is larger than the sum of its proper divisors (274837098907).

1003211020133 is a wasteful number, since it uses less digits than its factorization.

1003211020133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64397.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1003211020133 its reverse (3310201123001), we get a palindrome (4313412143134).

The spelling of 1003211020133 in words is "one trillion, three billion, two hundred eleven million, twenty thousand, one hundred thirty-three".

Divisors: 1 7 17 19 119 133 323 2261 7853 54971 56501 133501 149207 395507 934507 960517 1044449 1073519 2536519 6723619 7514633 17755633 18249823 127748761 443702353 3105916471 7542940001 8430344707 52800580007 59012412949 143315860019 1003211020133