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100242404353 = 71397101229491
BaseRepresentation
bin101110101011011101…
…0011011010000000001
3100120202001202202111201
41131112322123100001
53120244023414403
6114014542341201
710146046243510
oct1352672332001
9316661682451
10100242404353
1139570251083
1217516b8a801
1395b6ac2a80
144bcd320677
15291a66d21d
hex1756e9b401

100242404353 has 64 divisors (see below), whose sum is σ = 126688504320. Its totient is φ = 77220864000.

The previous prime is 100242404351. The next prime is 100242404389. The reversal of 100242404353 is 353404242001.

It is a happy number.

It is not a de Polignac number, because 100242404353 - 21 = 100242404351 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100242404351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204159438 + ... + 204159928.

It is an arithmetic number, because the mean of its divisors is an integer number (1979507880).

Almost surely, 2100242404353 is an apocalyptic number.

100242404353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100242404353 is a deficient number, since it is larger than the sum of its proper divisors (26446099967).

100242404353 is a wasteful number, since it uses less digits than its factorization.

100242404353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938.

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 100242404353 its reverse (353404242001), we get a palindrome (453646646354).

The spelling of 100242404353 in words is "one hundred billion, two hundred forty-two million, four hundred four thousand, three hundred fifty-three".

Divisors: 1 7 13 91 97 101 229 491 679 707 1261 1313 1603 2977 3437 6383 8827 9191 9797 20839 22213 23129 44681 47627 49591 68579 112439 127361 155491 161903 288769 300677 333389 347137 619151 644683 787073 891527 1461707 2021383 2104739 2243513 4334057 4512781 4810327 10231949 10906583 11356339 15704591 29165669 33672289 62534251 76346081 79494373 141785579 147632407 204159683 437739757 992499053 1033426849 1101564883 7710954181 14320343479 100242404353