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213313340100 = 223527195346199
BaseRepresentation
bin1100011010101001110…
…1110100001011000100
3202101121011200102202210
43012222131310023010
511443331203340400
6241554513103420
721261050321430
oct3065235641304
9671534612683
10213313340100
1182513901713
1235412257b70
13171665ac903
14a4782d39c0
15583716c950
hex31aa7742c4

213313340100 has 144 divisors (see below), whose sum is σ = 742480256000. Its totient is φ = 46191150720.

The previous prime is 213313340089. The next prime is 213313340137. The reversal of 213313340100 is 1043313312.

213313340100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2633200 + ... + 2712999.

Almost surely, 2213313340100 is an apocalyptic number.

213313340100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213313340100 is an abundant number, since it is smaller than the sum of its proper divisors (529166915900).

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

213313340100 is a wasteful number, since it uses less digits than its factorization.

213313340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5346242 (or 5346235 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 213313340100 its reverse (1043313312), we get a palindrome (214356653412).

The spelling of 213313340100 in words is "two hundred thirteen billion, three hundred thirteen million, three hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 25 28 30 35 38 42 50 57 60 70 75 76 84 95 100 105 114 133 140 150 175 190 210 228 266 285 300 350 380 399 420 475 525 532 570 665 700 798 950 1050 1140 1330 1425 1596 1900 1995 2100 2660 2850 3325 3990 5700 6650 7980 9975 13300 19950 39900 5346199 10692398 16038597 21384796 26730995 32077194 37423393 53461990 64154388 74846786 80192985 101577781 106923980 112270179 133654975 149693572 160385970 187116965 203155562 224540358 267309950 304733343 320771940 374233930 400964925 406311124 449080716 507888905 534619900 561350895 609466686 711044467 748467860 801929850 935584825 1015777810 1122701790 1218933372 1422088934 1523666715 1603859700 1871169650 2031555620 2133133401 2245403580 2539444525 2806754475 2844177868 3047333430 3555222335 3742339300 4266266802 5078889050 5613508950 6094666860 7110444670 7618333575 8532533604 10157778100 10665667005 11227017900 14220889340 15236667150 17776111675 21331334010 30473334300 35552223350 42662668020 53328335025 71104446700 106656670050 213313340100