Search a number
-
+
22003213111313 = 7229601190113553
BaseRepresentation
bin1010000000011000001011…
…01100111001000000010001
32212220111010202100022201112
411000030011230321000101
510341000040024030223
6114444045255143105
74430452063355300
oct500140554710021
985814122308645
1022003213111313
1170135681a6a15
122574453674a95
13c37b814276b5
14560d6574a437
15282549ea1778
hex140305b39011

22003213111313 has 48 divisors (see below), whose sum is σ = 26538147009360. Its totient is φ = 18168353280000.

The previous prime is 22003213111309. The next prime is 22003213111351. The reversal of 22003213111313 is 31311131230022.

It can be written as a sum of positive squares in 8 ways, for example, as 232991566864 + 21770221544449 = 482692^2 + 4665857^2 .

It is not a de Polignac number, because 22003213111313 - 22 = 22003213111309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22003213119313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1623487145 + ... + 1623500697.

It is an arithmetic number, because the mean of its divisors is an integer number (552878062695).

Almost surely, 222003213111313 is an apocalyptic number.

It is an amenable number.

22003213111313 is a deficient number, since it is larger than the sum of its proper divisors (4534933898047).

22003213111313 is a wasteful number, since it uses less digits than its factorization.

22003213111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16098 (or 16091 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 22003213111313 its reverse (31311131230022), we get a palindrome (53314344341335).

The spelling of 22003213111313 in words is "twenty-two trillion, three billion, two hundred thirteen million, one hundred eleven thousand, three hundred thirteen".

Divisors: 1 7 29 49 203 601 1421 1901 4207 13307 13553 17429 29449 55129 93149 94871 122003 385903 393037 664097 854021 1142501 2701321 2751259 7997507 8145353 19258813 25764253 33132529 55982549 57017471 180349771 231927703 236215237 399122297 747163337 1262448397 1623493921 1653506659 5230143359 11574546613 15484316053 36611003513 108390212371 449045165537 758731486597 3143316158759 22003213111313