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100013412212340 = 223511194637785823
BaseRepresentation
bin10110101111011000101111…
…111010000101111001110100
3111010010012002122202111202220
4112233120233322011321310
5101102104432011243330
6552413305521002340
730031505406104154
oct2657305772057164
9433105078674686
10100013412212340
112995a4a4938890
12b2733294833b0
1343a62bba43a73
141a9a964200764
15b868a1ee8710
hex5af62fe85e74

100013412212340 has 96 divisors (see below), whose sum is σ = 305511249125376. Its totient is φ = 24244426842240.

The previous prime is 100013412212323. The next prime is 100013412212359. The reversal of 100013412212340 is 43212214310001.

100013412212340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 100013412212340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8952669 + ... + 16738491.

It is an arithmetic number, because the mean of its divisors is an integer number (3182408845056).

Almost surely, 2100013412212340 is an apocalyptic number.

100013412212340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100013412212340 is an abundant number, since it is smaller than the sum of its proper divisors (205497836913036).

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

100013412212340 is a wasteful number, since it uses less digits than its factorization.

100013412212340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7805309 (or 7805307 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 100013412212340 its reverse (43212214310001), we get a palindrome (143225626522341).

The spelling of 100013412212340 in words is "one hundred trillion, thirteen billion, four hundred twelve million, two hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 19463 38926 58389 77852 97315 116778 194630 214093 233556 291945 389260 428186 583890 642279 856372 1070465 1167780 1284558 2140930 2569116 3211395 4281860 6422790 7785823 12845580 15571646 23357469 31143292 38929115 46714938 77858230 85644053 93429876 116787345 155716460 171288106 233574690 256932159 342576212 428220265 467149380 513864318 856440530 1027728636 1284660795 1712881060 2569321590 5138643180 151535473049 303070946098 454606419147 606141892196 757677365245 909212838294 1515354730490 1666890203539 1818425676588 2273032095735 3030709460980 3333780407078 4546064191470 5000670610617 6667560814156 8334451017695 9092128382940 10001341221234 16668902035390 20002682442468 25003353053085 33337804070780 50006706106170 100013412212340