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1004214105213 = 3111011971529413
BaseRepresentation
bin11101001110011111101…
…00110011010001111101
310120000001102000011001220
432213033310303101331
5112423112302331323
62045155105223553
7132360235025034
oct16471764632175
93500042004056
101004214105213
11357980756580
12142759331bb9
137390a372817
1436865db171b
151b1c66d00e3
hexe9cfd3347d

1004214105213 has 32 divisors (see below), whose sum is σ = 1482626166912. Its totient is φ = 599529504000.

The previous prime is 1004214105163. The next prime is 1004214105283. The reversal of 1004214105213 is 3125014124001.

It is not a de Polignac number, because 1004214105213 - 29 = 1004214104701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004214105283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108106 + ... + 1421307.

It is an arithmetic number, because the mean of its divisors is an integer number (46332067716).

Almost surely, 21004214105213 is an apocalyptic number.

It is an amenable number.

1004214105213 is a deficient number, since it is larger than the sum of its proper divisors (478412061699).

1004214105213 is a wasteful number, since it uses less digits than its factorization.

1004214105213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529725.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 1004214105213 its reverse (3125014124001), we get a palindrome (4129228229214).

The spelling of 1004214105213 in words is "one trillion, four billion, two hundred fourteen million, one hundred five thousand, two hundred thirteen".

Divisors: 1 3 11 33 101 197 303 591 1111 2167 3333 6501 19897 59691 218867 656601 1529413 4588239 16823543 50470629 154470713 301294361 463412139 903883083 1699177843 3314237971 5097533529 9942713913 30430730461 91292191383 334738035071 1004214105213