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1003100133213 = 321721991937987
BaseRepresentation
bin11101001100011010110…
…11010101011101011101
310112220011202212111202200
432212031123111131131
5112413322113230323
62044452353042113
7132320520310203
oct16461533253535
93486152774680
101003100133213
11357459968962
121424a8256339
137379063c3a9
143679c077073
151b15d9d9443
hexe98d6d575d

1003100133213 has 36 divisors (see below), whose sum is σ = 1546902021600. Its totient is φ = 626233044096.

The previous prime is 1003100133197. The next prime is 1003100133223. The reversal of 1003100133213 is 3123310013001.

It is a happy number.

1003100133213 is a `hidden beast` number, since 10 + 0 + 310 + 0 + 1 + 332 + 13 = 666.

It is not a de Polignac number, because 1003100133213 - 24 = 1003100133197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003100133223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 451395 + ... + 1486592.

It is an arithmetic number, because the mean of its divisors is an integer number (42969500600).

Almost surely, 21003100133213 is an apocalyptic number.

It is an amenable number.

1003100133213 is a deficient number, since it is larger than the sum of its proper divisors (543801888387).

1003100133213 is a wasteful number, since it uses less digits than its factorization.

1003100133213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938226 (or 1938206 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1003100133213 its reverse (3123310013001), we get a palindrome (4126410146214).

The spelling of 1003100133213 in words is "one trillion, three billion, one hundred million, one hundred thirty-three thousand, two hundred thirteen".

Divisors: 1 3 9 17 51 153 199 289 597 867 1791 2601 3383 10149 30447 57511 172533 517599 1937987 5813961 17441883 32945779 98837337 296512011 385659413 560078243 1156978239 1680234729 3470934717 5040704187 6556210021 19668630063 59005890189 111455570357 334366711071 1003100133213