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2200002101000 = 235311263760457
BaseRepresentation
bin100000000000111010010…
…101111111111100001000
321210022120221002021111022
4200000322111333330020
5242021101014213000
64402400024052012
7314642050212314
oct40007225777410
97708527067438
102200002101000
11779019917550
122b6460304008
1312c5c813a932
14786a2d5ab44
153c361719585
hex2003a57ff08

2200002101000 has 128 divisors (see below), whose sum is σ = 5637366408960. Its totient is φ = 796957888000.

The previous prime is 2200002100969. The next prime is 2200002101021. The reversal of 2200002101000 is 1012000022.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2512772 + ... + 3273228.

It is an arithmetic number, because the mean of its divisors is an integer number (44041925070).

Almost surely, 22200002101000 is an apocalyptic number.

2200002101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200002101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818683204480).

2200002101000 is an abundant number, since it is smaller than the sum of its proper divisors (3437364307960).

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

2200002101000 is a wasteful number, since it uses less digits than its factorization.

2200002101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760752 (or 760738 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 2200002101000 its reverse (1012000022), we get a palindrome (2201014101022).

The spelling of 2200002101000 in words is "two trillion, two hundred billion, two million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 263 275 440 500 526 550 1000 1052 1100 1315 1375 2104 2200 2630 2750 2893 5260 5500 5786 6575 10520 11000 11572 13150 14465 23144 26300 28930 32875 52600 57860 65750 72325 115720 131500 144650 263000 289300 361625 578600 723250 760457 1446500 1520914 2893000 3041828 3802285 6083656 7604570 8365027 15209140 16730054 19011425 30418280 33460108 38022850 41825135 66920216 76045700 83650270 95057125 152091400 167300540 190114250 200000191 209125675 334601080 380228500 400000382 418251350 760457000 800000764 836502700 1000000955 1045628375 1600001528 1673005400 2000001910 2091256750 2200002101 4000003820 4182513500 4400004202 5000004775 8000007640 8365027000 8800008404 10000009550 11000010505 17600016808 20000019100 22000021010 25000023875 40000038200 44000042020 50000047750 55000052525 88000084040 100000095500 110000105050 200000191000 220000210100 275000262625 440000420200 550000525250 1100001050500 2200002101000