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2200103332000 = 25537211225017
BaseRepresentation
bin100000000001000000011…
…000001010100010100000
321210022211222120100022121
4200001000120022202200
5242021302423111000
64402414041514024
7314644416522400
oct40010030124240
97708758510277
102200103332000
11779070a79932
122b648a1a2914
1312c6130c2832
14786b258c800
153c36a563b1a
hex2004060a8a0

2200103332000 has 144 divisors (see below), whose sum is σ = 6288210183528. Its totient is φ = 754321075200.

The previous prime is 2200103331989. The next prime is 2200103332061. The reversal of 2200103332000 is 2333010022.

It can be written as a sum of positive squares in 4 ways, for example, as 1427652184336 + 772451147664 = 1194844^2 + 878892^2 .

It is a super-3 number, since 3×22001033320003 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 5416509 + ... + 5808508.

Almost surely, 22200103332000 is an apocalyptic number.

2200103332000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200103332000 is an abundant number, since it is smaller than the sum of its proper divisors (4088106851528).

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

2200103332000 is a wasteful number, since it uses less digits than its factorization.

2200103332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11225056 (or 11225031 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 2200103332000 its reverse (2333010022), we get a palindrome (2202436342022).

The spelling of 2200103332000 in words is "two trillion, two hundred billion, one hundred three million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 70 80 98 100 112 125 140 160 175 196 200 224 245 250 280 350 392 400 490 500 560 700 784 800 875 980 1000 1120 1225 1400 1568 1750 1960 2000 2450 2800 3500 3920 4000 4900 5600 6125 7000 7840 9800 12250 14000 19600 24500 28000 39200 49000 98000 196000 11225017 22450034 44900068 56125085 78575119 89800136 112250170 157150238 179600272 224500340 280625425 314300476 359200544 392875595 449000680 550025833 561250850 628600952 785751190 898001360 1100051666 1122501700 1257201904 1403127125 1571502380 1796002720 1964377975 2200103332 2245003400 2514403808 2750129165 2806254250 3143004760 3928755950 4400206664 4490006800 5500258330 5612508500 6286009520 7857511900 8800413328 8980013600 9821889875 11000516660 11225017000 12572019040 13750645825 15715023800 17600826656 19643779750 22001033320 22450034000 27501291650 31430047600 39287559500 44002066640 44900068000 55002583300 62860095200 68753229125 78575119000 88004133280 110005166600 137506458250 157150238000 220010333200 275012916500 314300476000 440020666400 550025833000 1100051666000 2200103332000