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100203100200 = 23325277952627
BaseRepresentation
bin101110101010010010…
…0011111100000101000
3100120122022210220100100
41131110210133200220
53120203443201300
6114011020105400
710145061204240
oct1352444374050
9316568726310
10100203100200
1139550046305
1217505995260
1395ab910b88
144bc800cb20
152916ea7700
hex175491f828

100203100200 has 144 divisors (see below), whose sum is σ = 384589090080. Its totient is φ = 22903562880.

The previous prime is 100203100169. The next prime is 100203100219. The reversal of 100203100200 is 2001302001.

It is a happy number.

It is a super-2 number, since 2×1002031002002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3963714 + ... + 3988913.

It is an arithmetic number, because the mean of its divisors is an integer number (2670757570).

Almost surely, 2100203100200 is an apocalyptic number.

100203100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100203100200 is an abundant number, since it is smaller than the sum of its proper divisors (284385989880).

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

100203100200 is a wasteful number, since it uses less digits than its factorization.

100203100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7952656 (or 7952644 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100203100200 its reverse (2001302001), we get a palindrome (102204402201).

The spelling of 100203100200 in words is "one hundred billion, two hundred three million, one hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 6300 12600 7952627 15905254 23857881 31810508 39763135 47715762 55668389 63621016 71573643 79526270 95431524 111336778 119289405 143147286 159052540 167005167 190863048 198815675 222673556 238578810 278341945 286294572 318105080 334010334 357868215 397631350 445347112 477157620 501015501 556683890 572589144 596447025 668020668 715736430 795262700 835025835 954315240 1002031002 1113367780 1192894050 1336041336 1391709725 1431472860 1590525400 1670051670 1789341075 2004062004 2226735560 2385788100 2505077505 2783419450 2862945720 3340103340 3578682150 4008124008 4175129175 4771576200 5010155010 5566838900 6680206680 7157364300 8350258350 10020310020 11133677800 12525387525 14314728600 16700516700 20040620040 25050775050 33401033400 50101550100 100203100200