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203213000000 = 2656203213
BaseRepresentation
bin1011110101000001110…
…0000100110101000000
3201102112021002222220102
42331100130010311000
511312140012000000
6233204343501532
720452543666643
oct2752034046500
9642467088812
10203213000000
11792004936aa
12334737578a8
1316216b8cbca
149b9aad1a5a
15544558e3d5
hex2f50704d40

203213000000 has 98 divisors (see below), whose sum is σ = 504059524518. Its totient is φ = 81284800000.

The previous prime is 203212999999. The next prime is 203213000009. The reversal of 203213000000 is 312302.

It can be written as a sum of positive squares in 7 ways, for example, as 200983649344 + 2229350656 = 448312^2 + 47216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203213000009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 898394 + ... + 1101606.

Almost surely, 2203213000000 is an apocalyptic number.

203213000000 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 203213000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252029762259).

203213000000 is an abundant number, since it is smaller than the sum of its proper divisors (300846524518).

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

203213000000 is an frugal number, since it uses more digits than its factorization.

203213000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203255 (or 203220 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 203213000000 its reverse (312302), we get a palindrome (203213312302).

The spelling of 203213000000 in words is "two hundred three billion, two hundred thirteen million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 125000 200000 203213 250000 406426 500000 812852 1000000 1016065 1625704 2032130 3251408 4064260 5080325 6502816 8128520 10160650 13005632 16257040 20321300 25401625 32514080 40642600 50803250 65028160 81285200 101606500 127008125 162570400 203213000 254016250 325140800 406426000 508032500 635040625 812852000 1016065000 1270081250 1625704000 2032130000 2540162500 3175203125 4064260000 5080325000 6350406250 8128520000 10160650000 12700812500 20321300000 25401625000 40642600000 50803250000 101606500000 203213000000