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203332103424414 = 232172183072135101
BaseRepresentation
bin101110001110110111110001…
…110010111100100110011110
3222122221100200220002021222200
4232032313301302330212132
5203122343121434040124
62000241251225552330
760554155034151636
oct5616676162744636
9878840626067880
10203332103424414
115987372a587238
121a97b15a0456a6
13895c19a9cc1b3
14382d47d5a56c6
1518792045acbc9
hexb8edf1cbc99e

203332103424414 has 72 divisors (see below), whose sum is σ = 468017953911768. Its totient is φ = 63786949459200.

The previous prime is 203332103424403. The next prime is 203332103424449. The reversal of 203332103424414 is 414424301233302.

203332103424414 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 3 + 210 + 3 + 4 + 24 + 414 = 666.

It is a super-2 number, since 2×2033321034244142 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94165464 + ... + 96300564.

Almost surely, 2203332103424414 is an apocalyptic number.

203332103424414 is an abundant number, since it is smaller than the sum of its proper divisors (264685850487354).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

203332103424414 is a wasteful number, since it uses less digits than its factorization.

203332103424414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153450 (or 2153430 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 203332103424414 its reverse (414424301233302), we get a palindrome (617756404657716).

The spelling of 203332103424414 in words is "two hundred three trillion, three hundred thirty-two billion, one hundred three million, four hundred twenty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 578 867 1734 2601 5202 18307 36614 54921 109842 164763 311219 329526 622438 933657 1867314 2135101 2800971 4270202 5290723 5601942 6405303 10581446 12810606 15872169 19215909 31744338 36296717 38431818 47616507 72593434 95233014 108890151 217780302 326670453 617044189 653340906 1234088378 1851132567 3702265134 5553397701 11106795402 39087294007 78174588014 117261882021 234523764042 351785646063 664483998119 703571292126 1328967996238 1993451994357 3986903988714 5980355983071 11296227968023 11960711966142 22592455936046 33888683904069 67777367808138 101666051712207 203332103424414