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201024301340 = 22529412206183
BaseRepresentation
bin1011101100110111111…
…0110110100100011100
3201012212201200120210002
42323031332312210130
511243144210120330
6232203240233432
720344366240202
oct2731576664434
9635781616702
10201024301340
1178287a82a35
1232b6276b878
1315c585b7545
149a30157072
155368355e45
hex2ecdfb691c

201024301340 has 72 divisors (see below), whose sum is σ = 447621340320. Its totient is φ = 75743019520.

The previous prime is 201024301307. The next prime is 201024301343. The reversal of 201024301340 is 43103420102.

It is a super-3 number, since 3×2010243013403 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201024301343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 871889 + ... + 1078071.

It is an arithmetic number, because the mean of its divisors is an integer number (6216963060).

Almost surely, 2201024301340 is an apocalyptic number.

201024301340 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 201024301340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223810670160).

201024301340 is an abundant number, since it is smaller than the sum of its proper divisors (246597038980).

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

201024301340 is a wasteful number, since it uses less digits than its factorization.

201024301340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206303 (or 206260 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 201024301340 its reverse (43103420102), we get a palindrome (244127721442).

The spelling of 201024301340 in words is "two hundred one billion, twenty-four million, three hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 410 580 820 1189 1681 2378 3362 4756 5945 6724 8405 11890 16810 23780 33620 48749 97498 194996 206183 243745 412366 487490 824732 974980 1030915 2061830 4123660 5979307 8453503 11958614 16907006 23917228 29896535 33814012 42267515 59793070 84535030 119586140 169070060 245151587 346593623 490303174 693187246 980606348 1225757935 1386374492 1732968115 2451515870 3465936230 4903031740 6931872460 10051215067 20102430134 40204860268 50256075335 100512150670 201024301340