Search a number
-
+
1021333300000 = 255513785641
BaseRepresentation
bin11101101110011000011…
…01010110001100100000
310121122020110210100111021
432313030031112030200
5113213142311100000
62101105525055224
7133534406544646
oct16671415261440
93548213710437
101021333300000
11364166026a42
12145b36557514
1375407c6a490
143760b83b196
151b87959e11a
hexedcc356320

1021333300000 has 144 divisors (see below), whose sum is σ = 2706608969064. Its totient is φ = 377107200000.

The previous prime is 1021333299977. The next prime is 1021333300027. The reversal of 1021333300000 is 33331201.

It can be written as a sum of positive squares in 12 ways, for example, as 764036824464 + 257296475536 = 874092^2 + 507244^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 907180 + ... + 1692820.

Almost surely, 21021333300000 is an apocalyptic number.

1021333300000 is a gapful number since it is divisible by the number (10) 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 1021333300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353304484532).

1021333300000 is an abundant number, since it is smaller than the sum of its proper divisors (1685275669064).

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

1021333300000 is an frugal number, since it uses more digits than its factorization.

1021333300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785689 (or 785661 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 1021333300000 its reverse (33331201), we get a palindrome (1021366631201).

The spelling of 1021333300000 in words is "one trillion, twenty-one billion, three hundred thirty-three million, three hundred thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1300 1625 2000 2080 2500 2600 3125 3250 4000 5000 5200 6250 6500 8125 10000 10400 12500 13000 16250 20000 25000 26000 32500 40625 50000 52000 65000 81250 100000 130000 162500 260000 325000 650000 785641 1300000 1571282 3142564 3928205 6285128 7856410 10213333 12570256 15712820 19641025 20426666 25140512 31425640 39282050 40853332 51066665 62851280 78564100 81706664 98205125 102133330 125702560 157128200 163413328 196410250 204266660 255333325 314256400 326826656 392820500 408533320 491025625 510666650 628512800 785641000 817066640 982051250 1021333300 1276666625 1571282000 1634133280 1964102500 2042666600 2455128125 2553333250 3142564000 3928205000 4085333200 4910256250 5106666500 6383333125 7856410000 8170666400 9820512500 10213333000 12766666250 15712820000 19641025000 20426666000 25533332500 31916665625 39282050000 40853332000 51066665000 63833331250 78564100000 102133330000 127666662500 204266660000 255333325000 510666650000 1021333300000