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20218203120 = 2435267731469
BaseRepresentation
bin10010110101000110…
…010100101111110000
31221012001010010122210
4102311012110233300
5312401324444440
613142122132120
71314011614413
oct226506245760
957161103583
1020218203120
118635715285
123b03051040
131ba29664cb
14d9b285b7a
157d4ebda80
hex4b5194bf0

20218203120 has 80 divisors (see below), whose sum is σ = 62701835040. Its totient is φ = 5389335552.

The previous prime is 20218203079. The next prime is 20218203149. The reversal of 20218203120 is 2130281202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 626746 + ... + 658214.

It is an arithmetic number, because the mean of its divisors is an integer number (783772938).

Almost surely, 220218203120 is an apocalyptic number.

20218203120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20218203120 is an abundant number, since it is smaller than the sum of its proper divisors (42483631920).

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

20218203120 is a wasteful number, since it uses less digits than its factorization.

20218203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34162 (or 34156 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 20218203120 its reverse (2130281202), we get a palindrome (22348484322).

The spelling of 20218203120 in words is "twenty billion, two hundred eighteen million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2677 5354 8031 10708 13385 16062 21416 26770 31469 32124 40155 42832 53540 62938 64248 80310 94407 107080 125876 128496 157345 160620 188814 214160 251752 314690 321240 377628 472035 503504 629380 642480 755256 944070 1258760 1510512 1888140 2517520 3776280 7552560 84242513 168485026 252727539 336970052 421212565 505455078 673940104 842425130 1010910156 1263637695 1347880208 1684850260 2021820312 2527275390 3369700520 4043640624 5054550780 6739401040 10109101560 20218203120