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200121230320 = 245112910177641
BaseRepresentation
bin1011101001100000100…
…1111010001111110000
3201010112210101211020021
42322120021322033300
511234322013332240
6231533500253224
720313122251114
oct2723011721760
9633483354207
10200121230320
1177964243350
1232950241214
1315b434870ab
14998623b744
155313e1e54a
hex2e9827a3f0

200121230320 has 160 divisors (see below), whose sum is σ = 530288648640. Its totient is φ = 69565440000.

The previous prime is 200121230273. The next prime is 200121230333. The reversal of 200121230320 is 23032121002.

200121230320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 200121230294 and 200121230303.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2538700 + ... + 2616340.

It is an arithmetic number, because the mean of its divisors is an integer number (3314304054).

Almost surely, 2200121230320 is an apocalyptic number.

200121230320 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 200121230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265144324320).

200121230320 is an abundant number, since it is smaller than the sum of its proper divisors (330167418320).

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

200121230320 is a wasteful number, since it uses less digits than its factorization.

200121230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77795 (or 77789 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 200121230320 its reverse (23032121002), we get a palindrome (223153351322).

The spelling of 200121230320 in words is "two hundred billion, one hundred twenty-one million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 101 110 116 145 176 202 220 232 290 319 404 440 464 505 580 638 808 880 1010 1111 1160 1276 1595 1616 2020 2222 2320 2552 2929 3190 4040 4444 5104 5555 5858 6380 8080 8888 11110 11716 12760 14645 17776 22220 23432 25520 29290 32219 44440 46864 58580 64438 77641 88880 117160 128876 155282 161095 234320 257752 310564 322190 388205 515504 621128 644380 776410 854051 1242256 1288760 1552820 1708102 2251589 2577520 3105640 3416204 4270255 4503178 6211280 6832408 7841741 8540510 9006356 11257945 13664816 15683482 17081020 18012712 22515890 24767479 31366964 34162040 36025424 39208705 45031780 49534958 62733928 68324080 78417410 86259151 90063560 99069916 123837395 125467856 156834820 172518302 180127120 198139832 227410489 247674790 313669640 345036604 396279664 431295755 454820978 495349580 627339280 690073208 862591510 909641956 990699160 1137052445 1380146416 1725183020 1819283912 1981398320 2274104890 2501515379 3450366040 3638567824 4548209780 5003030758 6900732080 9096419560 10006061516 12507576895 18192839120 20012123032 25015153790 40024246064 50030307580 100060615160 200121230320