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2220312401201 = 101137326775981
BaseRepresentation
bin100000010011110100111…
…011101001010100110001
321212021000101111102121002
4200103310323221110301
5242334144433314301
64415555240211345
7316261261005446
oct40236473512461
97767011442532
102220312401201
117866a1515714
122ba38a169b55
131314b3bab74b
147966c5379cd
153cb4e82b16b
hex204f4ee9531

2220312401201 has 16 divisors (see below), whose sum is σ = 2245142369808. Its totient is φ = 2195540256000.

The previous prime is 2220312401149. The next prime is 2220312401267. The reversal of 2220312401201 is 1021042130222.

It can be written as a sum of positive squares in 8 ways, for example, as 18696976 + 2220293704225 = 4324^2 + 1490065^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220312401201 - 226 = 2220245292337 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2220312401291) 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, 371224631 + ... + 371230611.

It is an arithmetic number, because the mean of its divisors is an integer number (140321398113).

Almost surely, 22220312401201 is an apocalyptic number.

It is an amenable number.

2220312401201 is a deficient number, since it is larger than the sum of its proper divisors (24829968607).

2220312401201 is a wasteful number, since it uses less digits than its factorization.

2220312401201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10132.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2220312401201 its reverse (1021042130222), we get a palindrome (3241354531423).

The spelling of 2220312401201 in words is "two trillion, two hundred twenty billion, three hundred twelve million, four hundred one thousand, two hundred one".

Divisors: 1 101 1373 2677 5981 138673 270377 604081 3675521 8211913 16011137 371227621 829403213 1617124837 21983291101 2220312401201