Search a number
-
+
2221201001331 = 331347653206191
BaseRepresentation
bin100000010100101001111…
…001011000101101110011
321212100022022112222211000
4200110221321120231303
5242343004424020311
64420223342053043
7316322300664414
oct40245171305563
97770268488730
102221201001331
11787008071094
122ba59787a183
131315c6013340
147971456780b
153cba2855056
hex20529e58b73

2221201001331 has 64 divisors (see below), whose sum is σ = 3624756387840. Its totient is φ = 1335754903680.

The previous prime is 2221201001303. The next prime is 2221201001351. The reversal of 2221201001331 is 1331001021222.

2221201001331 is a `hidden beast` number, since 22 + 212 + 0 + 100 + 1 + 331 = 666.

It is not a de Polignac number, because 2221201001331 - 221 = 2221198904179 is a prime.

It is a super-2 number, since 2×22212010013312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2221201001351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10669446 + ... + 10875636.

It is an arithmetic number, because the mean of its divisors is an integer number (56636818560).

Almost surely, 22221201001331 is an apocalyptic number.

2221201001331 is a deficient number, since it is larger than the sum of its proper divisors (1403555386509).

2221201001331 is a wasteful number, since it uses less digits than its factorization.

2221201001331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206913 (or 206907 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2221201001331 its reverse (1331001021222), we get a palindrome (3552202022553).

The spelling of 2221201001331 in words is "two trillion, two hundred twenty-one billion, two hundred one million, one thousand, three hundred thirty-one".

Divisors: 1 3 9 13 27 39 47 117 141 351 423 611 653 1269 1833 1959 5499 5877 8489 16497 17631 25467 30691 76401 92073 206191 229203 276219 398983 618573 828657 1196949 1855719 2680483 3590847 5567157 8041449 9690977 10772541 24124347 29072931 72373041 87218793 125982701 134642723 261656379 377948103 403928169 1133844309 1211784507 1750355399 3401532927 3635353521 5251066197 6328207981 15753198591 18984623943 47259595773 56953871829 82266703753 170861615487 246800111259 740400333777 2221201001331