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100243351413 = 33131125922511
BaseRepresentation
bin101110101011011111…
…0000010011101110101
3100120202010112212122000
41131112332002131311
53120244244221123
6114015014525513
710146060266562
oct1352676023565
9316663485560
10100243351413
1139570838677
1217517366899
1395b7064b6a
144bcd4c9869
15291a7a8b43
hex1756f82775

100243351413 has 32 divisors (see below), whose sum is σ = 149767833600. Its totient is φ = 66263137200.

The previous prime is 100243351391. The next prime is 100243351421. The reversal of 100243351413 is 314153342001.

It is a happy number.

100243351413 is a `hidden beast` number, since 1 + 0 + 0 + 243 + 3 + 5 + 1 + 413 = 666.

It is not a de Polignac number, because 100243351413 - 221 = 100241254261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100243351423) 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, 4441828 + ... + 4464338.

It is an arithmetic number, because the mean of its divisors is an integer number (4680244800).

Almost surely, 2100243351413 is an apocalyptic number.

It is an amenable number.

100243351413 is a deficient number, since it is larger than the sum of its proper divisors (49524482187).

100243351413 is a wasteful number, since it uses less digits than its factorization.

100243351413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23910 (or 23904 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 100243351413 its reverse (314153342001), we get a palindrome (414396693414).

The spelling of 100243351413 in words is "one hundred billion, two hundred forty-three million, three hundred fifty-one thousand, four hundred thirteen".

Divisors: 1 3 9 27 131 393 1179 1259 3537 3777 11331 22511 33993 67533 164929 202599 494787 607797 1484361 2948941 4453083 8846823 26540469 28341349 79621407 85024047 255072141 765216423 3712716719 11138150157 33414450471 100243351413