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103003212213 = 321123257176017
BaseRepresentation
bin101111111101101111…
…0000100100110110101
3100211212110201022220200
41133323132010212311
53141422310242323
6115152524151113
710304341600146
oct1377336044665
9324773638820
10103003212213
113a75769a970
1217b67698499
139936a7a0a5
144db1c61acd
152a2cc15443
hex17fb7849b5

103003212213 has 48 divisors (see below), whose sum is σ = 170024939136. Its totient is φ = 59479326720.

The previous prime is 103003212209. The next prime is 103003212223. The reversal of 103003212213 is 312212300301.

103003212213 is a `hidden beast` number, since 10 + 300 + 321 + 22 + 13 = 666.

It is not a de Polignac number, because 103003212213 - 22 = 103003212209 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103003212203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497181 + ... + 673197.

It is an arithmetic number, because the mean of its divisors is an integer number (3542186232).

Almost surely, 2103003212213 is an apocalyptic number.

It is an amenable number.

103003212213 is a deficient number, since it is larger than the sum of its proper divisors (67021726923).

103003212213 is a wasteful number, since it uses less digits than its factorization.

103003212213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176314 (or 176311 counting only the distinct ones).

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

Adding to 103003212213 its reverse (312212300301), we get a palindrome (415215512514).

The spelling of 103003212213 in words is "one hundred three billion, three million, two hundred twelve thousand, two hundred thirteen".

Divisors: 1 3 9 11 23 33 69 99 207 253 257 759 771 2277 2313 2827 5911 8481 17733 25443 53199 65021 176017 195063 528051 585189 1584153 1936187 4048391 5808561 12145173 17425683 36435519 44532301 45236369 133596903 135709107 400790709 407127321 497600059 1040436487 1492800177 3121309461 4478400531 9363928383 11444801357 34334404071 103003212213