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202221201010020 = 22354378380310469
BaseRepresentation
bin101101111110101101001010…
…110110100010110101100100
3222112000011021012012111022020
4231332231022312202311210
5203001143004424310040
61554031045351503140
760410666606346453
oct5576551266426544
9875004235174266
10202221201010020
115948559108aa15
121a81b9a7087ab0
1388ab4ba2a615a
1437d17b6190b9a
15185a3868e6cd0
hexb7eb4ada2d64

202221201010020 has 48 divisors (see below), whose sum is σ = 579387254994240. Its totient is φ = 52671568634496.

The previous prime is 202221201009967. The next prime is 202221201010021. The reversal of 202221201010020 is 20010102122202.

202221201010020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (202221201010021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39190152655 + ... + 39190157814.

It is an arithmetic number, because the mean of its divisors is an integer number (12070567812380).

Almost surely, 2202221201010020 is an apocalyptic number.

202221201010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202221201010020 is an abundant number, since it is smaller than the sum of its proper divisors (377166053984220).

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

202221201010020 is a wasteful number, since it uses less digits than its factorization.

202221201010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78380310524 (or 78380310522 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202221201010020 its reverse (20010102122202), we get a palindrome (222231303132222).

The spelling of 202221201010020 in words is "two hundred two trillion, two hundred twenty-one billion, two hundred one million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 78380310469 156760620938 235140931407 313521241876 391901552345 470281862814 783803104690 940563725628 1175704657035 1567606209380 2351409314070 3370353350167 4702818628140 6740706700334 10111060050501 13481413400668 16851766750835 20222120101002 33703533501670 40444240202004 50555300252505 67407067003340 101110600505010 202221201010020