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200211202100 = 225272133143033
BaseRepresentation
bin1011101001110110000…
…1001000000000110100
3201010210001200212022102
42322131201020000310
511240013031431400
6231550432521232
720315264065400
oct2723541100064
9633701625272
10200211202100
1177a00005498
12329763b0218
1315b58cc9230
14999417c100
15531bc929d5
hex2e9d848034

200211202100 has 108 divisors (see below), whose sum is σ = 544266625644. Its totient is φ = 63363525120.

The previous prime is 200211202069. The next prime is 200211202123. The reversal of 200211202100 is 1202112002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 60086755876 + 140124446224 = 245126^2 + 374332^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1507817 + ... + 1635216.

It is an arithmetic number, because the mean of its divisors is an integer number (5039505793).

Almost surely, 2200211202100 is an apocalyptic number.

200211202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200211202100 is an abundant number, since it is smaller than the sum of its proper divisors (344055423544).

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

200211202100 is a wasteful number, since it uses less digits than its factorization.

200211202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143074 (or 3143060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200211202100 its reverse (1202112002), we get a palindrome (201413314102).

The spelling of 200211202100 in words is "two hundred billion, two hundred eleven million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 49 50 52 65 70 91 98 100 130 140 175 182 196 245 260 325 350 364 455 490 637 650 700 910 980 1225 1274 1300 1820 2275 2450 2548 3185 4550 4900 6370 9100 12740 15925 31850 63700 3143033 6286066 12572132 15715165 22001231 31430330 40859429 44002462 62860660 78575825 81718858 88004924 110006155 154008617 157151650 163437716 204297145 220012310 286016003 308017234 314303300 408594290 440024620 550030775 572032006 616034468 770043085 817188580 1021485725 1100061550 1144064012 1430080015 1540086170 2002112021 2042971450 2200123100 2860160030 3080172340 3850215425 4004224042 4085942900 5720320060 7150400075 7700430850 8008448084 10010560105 14300800150 15400861700 20021120210 28601600300 40042240420 50052800525 100105601050 200211202100