Search a number
-
+
100113203321200 = 2452719736341369
BaseRepresentation
bin10110110000110101101011…
…111010111101100101110000
3111010110201200021100002020201
4112300311223322331211300
5101110223320022234300
6552531212022444544
730041640335404456
oct2660655372754560
9433421607302221
10100113203321200
1129998853368983
12b28a739293754
1343b28331a5284
141aa170d6069d6
15b89292c1e66a
hex5b0d6bebd970

100113203321200 has 120 divisors (see below), whose sum is σ = 246424143157920. Its totient is φ = 39074238873600.

The previous prime is 100113203321189. The next prime is 100113203321213. The reversal of 100113203321200 is 2123302311001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15415885 + ... + 20925484.

It is an arithmetic number, because the mean of its divisors is an integer number (2053534526316).

Almost surely, 2100113203321200 is an apocalyptic number.

100113203321200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100113203321200 is an abundant number, since it is smaller than the sum of its proper divisors (146310939836720).

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

100113203321200 is a wasteful number, since it uses less digits than its factorization.

100113203321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36341555 (or 36341544 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100113203321200 its reverse (2123302311001), we get a palindrome (102236505632201).

The spelling of 100113203321200 in words is "one hundred trillion, one hundred thirteen billion, two hundred three million, three hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 97 100 142 194 200 284 355 388 400 485 568 710 776 970 1136 1420 1552 1775 1940 2425 2840 3550 3880 4850 5680 6887 7100 7760 9700 13774 14200 19400 27548 28400 34435 38800 55096 68870 110192 137740 172175 275480 344350 550960 688700 1377400 2754800 36341369 72682738 145365476 181706845 290730952 363413690 581461904 726827380 908534225 1453654760 1817068450 2580237199 2907309520 3525112793 3634136900 5160474398 7050225586 7268273800 10320948796 12901185995 14100451172 14536547600 17625563965 20641897592 25802371990 28200902344 35251127930 41283795184 51604743980 56401804688 64505929975 70502255860 88127819825 103209487960 129011859950 141004511720 176255639650 206418975920 250283008303 258023719900 282009023440 352511279300 500566016606 516047439800 705022558600 1001132033212 1032094879600 1251415041515 1410045117200 2002264066424 2502830083030 4004528132848 5005660166060 6257075207575 10011320332120 12514150415150 20022640664240 25028300830300 50056601660600 100113203321200