Search a number
-
+
11450111322 = 2313219797523
BaseRepresentation
bin10101010100111101…
…01101010101011010
31002112222101220220010
422222132231111122
5141422212030242
65132103342350
7553513224516
oct125236552532
932488356803
1011450111322
114946320121
1222767519b6
131106262c00
147a899b146
1547035089c
hex2aa7ad55a

11450111322 has 96 divisors (see below), whose sum is σ = 26436326400. Its totient is φ = 3294997056.

The previous prime is 11450111317. The next prime is 11450111329. The reversal of 11450111322 is 22311105411.

It is a super-2 number, since 2×114501113222 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11450111329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1518253 + ... + 1525775.

It is an arithmetic number, because the mean of its divisors is an integer number (275378400).

Almost surely, 211450111322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11450111322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13218163200).

11450111322 is an abundant number, since it is smaller than the sum of its proper divisors (14986215078).

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

11450111322 is a wasteful number, since it uses less digits than its factorization.

11450111322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7652 (or 7639 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 11450111322 its reverse (22311105411), we get a palindrome (33761216733).

The spelling of 11450111322 in words is "eleven billion, four hundred fifty million, one hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 79 114 158 169 237 247 338 474 494 507 741 1014 1027 1482 1501 2054 3002 3081 3211 4503 6162 6422 7523 9006 9633 13351 15046 19266 19513 22569 26702 39026 40053 45138 58539 80106 97799 117078 142937 195598 253669 285874 293397 428811 507338 586794 594317 761007 857622 1188634 1271387 1522014 1782951 1858181 2542774 3565902 3716362 3814161 5574543 7628322 7726121 11149086 11292023 15452242 22584046 23178363 24156353 33876069 46356726 48312706 67752138 72469059 100439573 144938118 146796299 200879146 293592598 301318719 440388897 602637438 880777794 1908351887 3816703774 5725055661 11450111322