Search a number
-
+
100003421112 = 23374115196149
BaseRepresentation
bin101110100100010101…
…0110001101110111000
3100120010102002011010120
41131020222301232320
53114301333433422
6113535124213240
710140115024410
oct1351052615670
9316112064116
10100003421112
1139458362471
121746ab3a220
13957943997a
144ba96b1640
1529046b345c
hex1748ab1bb8

100003421112 has 128 divisors (see below), whose sum is σ = 294634368000. Its totient is φ = 27690624000.

The previous prime is 100003421081. The next prime is 100003421129. The reversal of 100003421112 is 211124300001.

It is a junction number, because it is equal to n+sod(n) for n = 100003421091 and 100003421100.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 992014 + ... + 1088162.

It is an arithmetic number, because the mean of its divisors is an integer number (2301831000).

Almost surely, 2100003421112 is an apocalyptic number.

100003421112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100003421112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147317184000).

100003421112 is an abundant number, since it is smaller than the sum of its proper divisors (194630946888).

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

100003421112 is a wasteful number, since it uses less digits than its factorization.

100003421112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96357 (or 96353 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100003421112 its reverse (211124300001), we get a palindrome (311127721113).

The spelling of 100003421112 in words is "one hundred billion, three million, four hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 151 164 168 246 287 302 328 453 492 574 604 861 906 984 1057 1148 1208 1722 1812 2114 2296 3171 3444 3624 4228 6191 6342 6888 8456 12382 12684 18573 24764 25368 37146 43337 49528 74292 86674 96149 130011 148584 173348 192298 260022 288447 346696 384596 520044 576894 673043 769192 1040088 1153788 1346086 2019129 2307576 2692172 3942109 4038258 5384344 7884218 8076516 11826327 14518499 15768436 16153032 23652654 27594763 29036998 31536872 43555497 47305308 55189526 58073996 82784289 87110994 94610616 101629493 110379052 116147992 165568578 174221988 203258986 220758104 304888479 331137156 348443976 406517972 595258459 609776958 662274312 813035944 1190516918 1219553916 1785775377 2381033836 2439107832 3571550754 4166809213 4762067672 7143101508 8333618426 12500427639 14286203016 16667236852 25000855278 33334473704 50001710556 100003421112