Search a number
-
+
10022213111112 = 233261237408601
BaseRepresentation
bin1001000111010111101001…
…1100111100110101001000
31022111010002021010012210100
42101311322130330311020
52303200443024023422
633152050253045400
72053036532565216
oct221657234746510
938433067105710
1010022213111112
113214440028194
12115a456a86860
135791241a5457
14269113305cb6
15125a7a11a7ac
hex91d7a73cd48

10022213111112 has 72 divisors (see below), whose sum is σ = 27595764566370. Its totient is φ = 3285971424000.

The previous prime is 10022213111069. The next prime is 10022213111149. The reversal of 10022213111112 is 21111131222001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6597366909156 + 3424846201956 = 2568534^2 + 1850634^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18436389 + ... + 18972212.

Almost surely, 210022213111112 is an apocalyptic number.

10022213111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10022213111112 is an abundant number, since it is smaller than the sum of its proper divisors (17573551455258).

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

10022213111112 is a wasteful number, since it uses less digits than its factorization.

10022213111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37408735 (or 37408667 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10022213111112 its reverse (21111131222001), we get a palindrome (31133344333113).

The spelling of 10022213111112 in words is "ten trillion, twenty-two billion, two hundred thirteen million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 3721 4392 7442 11163 14884 22326 29768 33489 44652 66978 89304 133956 267912 37408601 74817202 112225803 149634404 224451606 299268808 336677409 448903212 673354818 897806424 1346709636 2281924661 2693419272 4563849322 6845773983 9127698644 13691547966 18255397288 20537321949 27383095932 41074643898 54766191864 82149287796 139197404321 164298575592 278394808642 417592212963 556789617284 835184425926 1113579234568 1252776638889 1670368851852 2505553277778 3340737703704 5011106555556 10022213111112