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201221023001320 = 23571116164389079
BaseRepresentation
bin101101110000001001101011…
…100110001110101011101000
3222101110112122001211021210101
4231300021223212032223220
5202333301123342020240
61551543354541555144
760245511350504560
oct5560115346165350
9871415561737711
10201221023001320
115912a3a17324a3
121a699b95575ab4
1388380a4182c2a
14379921424bda0
15183e34971c39a
hexb7026b98eae8

201221023001320 has 64 divisors (see below), whose sum is σ = 517471855891200. Its totient is φ = 68983882606080.

The previous prime is 201221023001267. The next prime is 201221023001353. The reversal of 201221023001320 is 23100320122102.

201221023001320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 29069460 + ... + 35319619.

It is an arithmetic number, because the mean of its divisors is an integer number (8085497748300).

Almost surely, 2201221023001320 is an apocalyptic number.

201221023001320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221023001320 is an abundant number, since it is smaller than the sum of its proper divisors (316250832889880).

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

201221023001320 is a wasteful number, since it uses less digits than its factorization.

201221023001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64400258 (or 64400254 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 201221023001320 its reverse (23100320122102), we get a palindrome (224321343123422).

The spelling of 201221023001320 in words is "two hundred one trillion, two hundred twenty-one billion, twenty-three million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 11161 22322 44644 55805 78127 89288 111610 156254 223220 312508 390635 446440 625016 781270 1562540 3125080 64389079 128778158 257556316 321945395 450723553 515112632 643890790 901447106 1287781580 1802894212 2253617765 2575563160 3605788424 4507235530 9014471060 18028942120 718646510719 1437293021438 2874586042876 3593232553595 5030525575033 5749172085752 7186465107190 10061051150066 14372930214380 20122102300132 25152627875165 28745860428760 40244204600264 50305255750330 100610511500660 201221023001320