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100004214310 = 25711213908221
BaseRepresentation
bin101110100100010110…
…1110011011000100110
3100120010110120110012021
41131020231303120212
53114302034324220
6113535153213354
710140124540060
oct1351055633046
9316113513167
10100004214310
1139458854400
121746b26125a
139579656a10
144ba983a730
1529047bd4aa
hex1748b73626

100004214310 has 96 divisors (see below), whose sum is σ = 243519748416. Its totient is φ = 28772409600.

The previous prime is 100004214287. The next prime is 100004214313. The reversal of 100004214310 is 13412400001.

It is a super-2 number, since 2×1000042143102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100004214313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344001 + ... + 564220.

It is an arithmetic number, because the mean of its divisors is an integer number (2536664046).

Almost surely, 2100004214310 is an apocalyptic number.

100004214310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100004214310 is an abundant number, since it is smaller than the sum of its proper divisors (143515534106).

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

100004214310 is a wasteful number, since it uses less digits than its factorization.

100004214310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908270 (or 908259 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 100004214310 its reverse (13412400001), we get a palindrome (113416614311).

The spelling of 100004214310 in words is "one hundred billion, four million, two hundred fourteen thousand, three hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 121 130 143 154 182 242 286 385 455 605 715 770 847 910 1001 1210 1430 1573 1694 2002 3146 4235 5005 7865 8470 10010 11011 15730 22022 55055 110110 908221 1816442 4541105 6357547 9082210 9990431 11806873 12715094 19980862 23613746 31787735 49952155 59034365 63575470 69933017 82648111 99904310 109894741 118068730 129875603 139866034 165296222 219789482 259751206 349665085 413240555 549473705 649378015 699330170 769263187 826481110 909129221 1098947410 1298756030 1428631633 1538526374 1818258442 2857263266 3846315935 4545646105 7143158165 7692631870 9091292210 10000421431 14286316330 20000842862 50002107155 100004214310