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213185519900 = 225217532366099
BaseRepresentation
bin1100011010001011011…
…0001110000100011100
3202101021021011111102022
43012202312032010130
511443100443114100
6241534105315312
721254636006663
oct3064266160434
9671237144368
10213185519900
1182458739491
1235397495b38
1317145c78362
14a46533ddda
15582ad1ee85
hex31a2d8e11c

213185519900 has 72 divisors (see below), whose sum is σ = 499067276400. Its totient is φ = 78743741440.

The previous prime is 213185519893. The next prime is 213185519903. The reversal of 213185519900 is 9915581312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213185519903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1092950 + ... + 1273149.

It is an arithmetic number, because the mean of its divisors is an integer number (6931489950).

Almost surely, 2213185519900 is an apocalyptic number.

213185519900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213185519900 is an abundant number, since it is smaller than the sum of its proper divisors (285881756500).

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

213185519900 is a wasteful number, since it uses less digits than its factorization.

213185519900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366183 (or 2366176 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 44.

The spelling of 213185519900 in words is "two hundred thirteen billion, one hundred eighty-five million, five hundred nineteen thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 53 68 85 100 106 170 212 265 340 425 530 850 901 1060 1325 1700 1802 2650 3604 4505 5300 9010 18020 22525 45050 90100 2366099 4732198 9464396 11830495 23660990 40223683 47321980 59152475 80447366 118304950 125403247 160894732 201118415 236609900 250806494 402236830 501612988 627016235 804473660 1005592075 1254032470 2011184150 2131855199 2508064940 3135081175 4022368300 4263710398 6270162350 8527420796 10659275995 12540324700 21318551990 42637103980 53296379975 106592759950 213185519900