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1003220310213 = 3211891091044587
BaseRepresentation
bin11101001100101001001…
…01110001100011000101
310112220111011000010121200
432212110211301203011
5112414043344411323
62044512324533113
7132323506636362
oct16462445614305
93486434003550
101003220310213
113575107906a0
12142520551199
13737ac4c8a44
14367adddb469
151b169327443
hexe9949718c5

1003220310213 has 48 divisors (see below), whose sum is σ = 1613261707200. Its totient is φ = 595664720640.

The previous prime is 1003220310181. The next prime is 1003220310223. The reversal of 1003220310213 is 3120130223001.

1003220310213 is a `hidden beast` number, since 10 + 0 + 322 + 0 + 310 + 21 + 3 = 666.

It is not a de Polignac number, because 1003220310213 - 25 = 1003220310181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003220310223) 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 47 ways as a sum of consecutive naturals, for example, 438106 + ... + 1482692.

It is an arithmetic number, because the mean of its divisors is an integer number (33609618900).

Almost surely, 21003220310213 is an apocalyptic number.

It is an amenable number.

1003220310213 is a deficient number, since it is larger than the sum of its proper divisors (610041396987).

1003220310213 is a wasteful number, since it uses less digits than its factorization.

1003220310213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044802 (or 1044799 counting only the distinct ones).

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

Adding to 1003220310213 its reverse (3120130223001), we get a palindrome (4123350533214).

The spelling of 1003220310213 in words is "one trillion, three billion, two hundred twenty million, three hundred ten thousand, two hundred thirteen".

Divisors: 1 3 9 11 33 89 99 109 267 327 801 979 981 1199 2937 3597 8811 9701 10791 29103 87309 106711 320133 960399 1044587 3133761 9401283 11490457 34471371 92968243 103414113 113859983 278904729 341579949 836714187 1022650673 1024739847 1252459813 3067952019 3757379439 9203856057 10133538487 11272138317 30400615461 91201846383 111468923357 334406770071 1003220310213