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3020201010000 = 24325433557789
BaseRepresentation
bin101011111100110010000…
…000100010001101010000
3101200201200000000220120200
4223330302000202031100
5343440332424310000
610231243341135200
7431126253003006
oct53746200421520
911621600026520
103020201010000
11a64950808569
1240940325a500
1318ba5aa56765
14a626db84a76
1553867e68500
hex2bf32022350

3020201010000 has 150 divisors (see below), whose sum is σ = 10562079497970. Its totient is φ = 805386912000.

The previous prime is 3020201009989. The next prime is 3020201010007. The reversal of 3020201010000 is 101020203.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 444291568704 + 2575909441296 = 666552^2 + 1604964^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×30202010100002 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3020201010007) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 16688895 + ... + 16868894.

Almost surely, 23020201010000 is an apocalyptic number.

3020201010000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3020201010000 is an abundant number, since it is smaller than the sum of its proper divisors (7541878487970).

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

3020201010000 is a wasteful number, since it uses less digits than its factorization.

3020201010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33557823 (or 33557799 counting only the distinct ones).

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

Adding to 3020201010000 its reverse (101020203), we get a palindrome (3020302030203).

The spelling of 3020201010000 in words is "three trillion, twenty billion, two hundred one million, ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 33557789 67115578 100673367 134231156 167788945 201346734 268462312 302020101 335577890 402693468 503366835 536924624 604040202 671155780 805386936 838944725 1006733670 1208080404 1342311560 1510100505 1610773872 1677889450 2013467340 2416160808 2516834175 2684623120 3020201010 3355778900 4026934680 4194723625 4832321616 5033668350 6040402020 6711557800 7550502525 8053869360 8389447250 10067336700 12080804040 12584170875 13423115600 15101005050 16778894500 20134673400 20973618125 24161608080 25168341750 30202010100 33557789000 37752512625 40269346800 41947236250 50336683500 60404020200 62920854375 67115578000 75505025250 83894472500 100673367000 120808040400 125841708750 151010050500 167788945000 188762563125 201346734000 251683417500 302020101000 335577890000 377525126250 503366835000 604040202000 755050252500 1006733670000 1510100505000 3020201010000