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21204034000 = 245337286541
BaseRepresentation
bin10011101111110110…
…111110000111010000
32000201202010112101121
4103233312332013100
5321411213042000
613424020012024
71350312213052
oct235766760720
960652115347
1021204034000
118aa1140646
124139231014
131ccbc822a6
1410521858d2
15841801b1a
hex4efdbe1d0

21204034000 has 80 divisors (see below), whose sum is σ = 52657250256. Its totient is φ = 8252352000.

The previous prime is 21204033971. The next prime is 21204034003. The reversal of 21204034000 is 43040212.

It can be written as a sum of positive squares in 8 ways, for example, as 1417673104 + 19786360896 = 37652^2 + 140664^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×212040340002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21204034003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69271 + ... + 217270.

Almost surely, 221204034000 is an apocalyptic number.

21204034000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21204034000 is an abundant number, since it is smaller than the sum of its proper divisors (31453216256).

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

21204034000 is a wasteful number, since it uses less digits than its factorization.

21204034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286601 (or 286585 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 21204034000 its reverse (43040212), we get a palindrome (21247074212).

The spelling of 21204034000 in words is "twenty-one billion, two hundred four million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 250 296 370 400 500 592 740 925 1000 1480 1850 2000 2960 3700 4625 7400 9250 14800 18500 37000 74000 286541 573082 1146164 1432705 2292328 2865410 4584656 5730820 7163525 10602017 11461640 14327050 21204034 22923280 28654100 35817625 42408068 53010085 57308200 71635250 84816136 106020170 114616400 143270500 169632272 212040340 265050425 286541000 424080680 530100850 573082000 848161360 1060201700 1325252125 2120403400 2650504250 4240806800 5301008500 10602017000 21204034000