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201023207040 = 2735307341041
BaseRepresentation
bin1011101100110111101…
…0101011011010000000
3201012212122121222200110
42323031322223122000
511243143420111130
6232203200551320
720344354031625
oct2731572533200
9635778558613
10201023207040
11782873a5857
1232b62322540
1315c582c3426
149a2dd5034c
1553681dbab0
hex2ecdeab680

201023207040 has 128 divisors (see below), whose sum is σ = 642850528320. Its totient is φ = 53431418880.

The previous prime is 201023207039. The next prime is 201023207081. The reversal of 201023207040 is 40702320102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 201023206998 and 201023207016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418920 + ... + 759960.

Almost surely, 2201023207040 is an apocalyptic number.

201023207040 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 201023207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321425264160).

201023207040 is an abundant number, since it is smaller than the sum of its proper divisors (441827321280).

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

201023207040 is a wasteful number, since it uses less digits than its factorization.

201023207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341370 (or 341358 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

Adding to 201023207040 its reverse (40702320102), we get a palindrome (241725527142).

The spelling of 201023207040 in words is "two hundred one billion, twenty-three million, two hundred seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 307 320 384 480 614 640 921 960 1228 1535 1842 1920 2456 3070 3684 4605 4912 6140 7368 9210 9824 12280 14736 18420 19648 24560 29472 36840 39296 49120 58944 73680 98240 117888 147360 196480 294720 341041 589440 682082 1023123 1364164 1705205 2046246 2728328 3410410 4092492 5115615 5456656 6820820 8184984 10231230 10913312 13641640 16369968 20462460 21826624 27283280 32739936 40924920 43653248 54566560 65479872 81849840 104699587 109133120 130959744 163699680 209399174 218266240 314098761 327399360 418798348 523497935 628197522 654798720 837596696 1046995870 1256395044 1570493805 1675193392 2093991740 2512790088 3140987610 3350386784 4187983480 5025580176 6281975220 6700773568 8375966960 10051160352 12563950440 13401547136 16751933920 20102320704 25127900880 33503867840 40204641408 50255801760 67007735680 100511603520 201023207040