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200321010340 = 22511310174507
BaseRepresentation
bin1011101010010000010…
…0000000101010100100
3201011001201022200220021
42322210010000222210
511240224134312330
6232005354244524
720321066331133
oct2724404005244
9634051280807
10200321010340
1177a56a96000
12329a7126744
1315b75995219
1499a49a391a
15532673367a
hex2ea4100aa4

200321010340 has 96 divisors (see below), whose sum is σ = 467297486208. Its totient is φ = 72121808000.

The previous prime is 200321010313. The next prime is 200321010343. The reversal of 200321010340 is 43010123002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (200321010343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2651367 + ... + 2725873.

It is an arithmetic number, because the mean of its divisors is an integer number (4867682148).

Almost surely, 2200321010340 is an apocalyptic number.

200321010340 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 200321010340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233648743104).

200321010340 is an abundant number, since it is smaller than the sum of its proper divisors (266976475868).

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

200321010340 is a wasteful number, since it uses less digits than its factorization.

200321010340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74650 (or 74626 counting only the distinct ones).

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

Adding to 200321010340 its reverse (43010123002), we get a palindrome (243331133342).

The spelling of 200321010340 in words is "two hundred billion, three hundred twenty-one million, ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 404 484 505 605 1010 1111 1210 1331 2020 2222 2420 2662 4444 5324 5555 6655 11110 12221 13310 22220 24442 26620 48884 61105 74507 122210 134431 149014 244420 268862 298028 372535 537724 672155 745070 819577 1344310 1490140 1639154 2688620 3278308 4097885 7525207 8195770 9015347 15050414 16391540 18030694 30100828 36061388 37626035 45076735 75252070 82777277 90153470 99168817 150504140 165554554 180306940 198337634 331109108 396675268 413886385 495844085 827772770 910550047 991688170 1655545540 1821100094 1983376340 3642200188 4552750235 9105500470 10016050517 18211000940 20032101034 40064202068 50080252585 100160505170 200321010340