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20202202210000 = 245413714746133
BaseRepresentation
bin1001001011111101100010…
…00101100001111011010000
32122112022102012121001100111
410211332301011201323100
510121443102231210000
6110544432533131104
74153363255321126
oct445766105417320
978468365531314
1020202202210000
1164897845281a8
1223233a4789a94
13b370a0929445
144dbb129d3916
1525078b811cba
hex125fb1161ed0

20202202210000 has 100 divisors (see below), whose sum is σ = 49268573737812. Its totient is φ = 8021895808000.

The previous prime is 20202202209961. The next prime is 20202202210049. The reversal of 20202202210000 is 1220220202.

It can be written as a sum of positive squares in 10 ways, for example, as 19570997383744 + 631204826256 = 4423912^2 + 794484^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6003067 + ... + 8743066.

Almost surely, 220202202210000 is an apocalyptic number.

20202202210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20202202210000 is an abundant number, since it is smaller than the sum of its proper divisors (29066371527812).

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

20202202210000 is a wasteful number, since it uses less digits than its factorization.

20202202210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14746298 (or 14746277 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 20202202210000 its reverse (1220220202), we get a palindrome (20203422430202).

The spelling of 20202202210000 in words is "twenty trillion, two hundred two billion, two hundred two million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 137 200 250 274 400 500 548 625 685 1000 1096 1250 1370 2000 2192 2500 2740 3425 5000 5480 6850 10000 10960 13700 17125 27400 34250 54800 68500 85625 137000 171250 274000 342500 685000 1370000 14746133 29492266 58984532 73730665 117969064 147461330 235938128 294922660 368653325 589845320 737306650 1179690640 1474613300 1843266625 2020220221 2949226600 3686533250 4040440442 5898453200 7373066500 8080880884 9216333125 10101101105 14746133000 16161761768 18432666250 20202202210 29492266000 32323523536 36865332500 40404404420 50505505525 73730665000 80808808840 101011011050 147461330000 161617617680 202022022100 252527527625 404044044200 505055055250 808088088400 1010110110500 1262637638125 2020220221000 2525275276250 4040440442000 5050550552500 10101101105000 20202202210000