Search a number
-
+
2221001320131 = 3311223325711353
BaseRepresentation
bin100000010100011101111…
…111101010011011000011
321212022210101211010201000
4200110131333222123003
5242342102314221011
64420151450143043
7316314324505446
oct40243577523303
97768711733630
102221001320131
11786a15386700
122ba540a21a83
1313159383b199
14796d5c2965d
153cb90060356
hex2051dfea6c3

2221001320131 has 96 divisors (see below), whose sum is σ = 3646666820160. Its totient is φ = 1334951608320.

The previous prime is 2221001320123. The next prime is 2221001320141. The reversal of 2221001320131 is 1310231001222.

2221001320131 is a `hidden beast` number, since 2 + 2 + 210 + 0 + 1 + 320 + 131 = 666.

It is not a de Polignac number, because 2221001320131 - 23 = 2221001320123 is a prime.

It is a super-2 number, since 2×22210013201312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2221001320141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195625551 + ... + 195636903.

It is an arithmetic number, because the mean of its divisors is an integer number (37986112710).

Almost surely, 22221001320131 is an apocalyptic number.

2221001320131 is a deficient number, since it is larger than the sum of its proper divisors (1425665500029).

2221001320131 is a wasteful number, since it uses less digits than its factorization.

2221001320131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11874 (or 11857 counting only the distinct ones).

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

Adding to 2221001320131 its reverse (1310231001222), we get a palindrome (3531232321353).

The spelling of 2221001320131 in words is "two trillion, two hundred twenty-one billion, one million, three hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 121 233 257 297 363 699 771 1089 2097 2313 2563 2827 3267 6291 6939 7689 8481 11353 23067 25443 28193 31097 34059 59881 69201 76329 84579 93291 102177 124883 179643 253737 279873 306531 374649 538929 658691 761211 839619 1123947 1373713 1616787 1976073 2645249 2917721 3371841 4121139 5928219 7245601 7935747 8753163 12363417 17784657 21736803 23807241 26259489 29097739 32094931 37090251 65210409 71421723 78778467 87293217 96284793 195631227 261879651 288854379 320075129 353044241 679828993 785638953 866563137 960225387 1059132723 2039486979 2880676161 3177398169 6118460937 7478118923 8642028483 9532194507 18355382811 22434356769 67303070307 82259308153 201909210921 246777924459 740333773377 2221001320131