Search a number
-
+
20242013102300 = 22521156332685311
BaseRepresentation
bin1001001101000111101100…
…00000000010000011011100
32122200010011200210220212002
410212203312000002003130
510123121120323233200
6111015015154501432
74156302645321413
oct446436600020334
978603150726762
1020242013102300
1164a4653762890
12232b055294878
13b3aa76769452
144dda0c01647a
1525181b8e1bd5
hex1268f60020dc

20242013102300 has 72 divisors (see below), whose sum is σ = 48003479580672. Its totient is φ = 7347657688000.

The previous prime is 20242013102291. The next prime is 20242013102303. The reversal of 20242013102300 is 320131024202.

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 (20242013102303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15723356 + ... + 16961955.

It is an arithmetic number, because the mean of its divisors is an integer number (666714994176).

Almost surely, 220242013102300 is an apocalyptic number.

20242013102300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20242013102300 is an abundant number, since it is smaller than the sum of its proper divisors (27761466478372).

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

20242013102300 is a wasteful number, since it uses less digits than its factorization.

20242013102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32685899 (or 32685892 counting only the distinct ones).

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

Adding to 20242013102300 its reverse (320131024202), we get a palindrome (20562144126502).

The spelling of 20242013102300 in words is "twenty trillion, two hundred forty-two billion, thirteen million, one hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 563 1100 1126 2252 2815 5630 6193 11260 12386 14075 24772 28150 30965 56300 61930 123860 154825 309650 619300 32685311 65370622 130741244 163426555 326853110 359538421 653706220 719076842 817132775 1438153684 1634265550 1797692105 3268531100 3595384210 7190768420 8988460525 17976921050 18401830093 35953842100 36803660186 73607320372 92009150465 184018300930 202420131023 368036601860 404840262046 460045752325 809680524092 920091504650 1012100655115 1840183009300 2024201310230 4048402620460 5060503275575 10121006551150 20242013102300