Search a number
-
+
11022010022112 = 253132469866713
BaseRepresentation
bin1010000001100100001011…
…1111011111100011100000
31110000200201211101122112120
42200121002333133203200
52421041034031201422
635235235210424240
72215212453243105
oct240310277374340
943020654348476
1011022010022112
11356a454350331
1212a0180a32080
1361c4a937498b
142a167a7a4aac
15141a93b1745c
hexa0642fdf8e0

11022010022112 has 48 divisors (see below), whose sum is σ = 28933028102160. Its totient is φ = 3673971366912.

The previous prime is 11022010022039. The next prime is 11022010022117. The reversal of 11022010022112 is 21122001022011.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 11022010022091 and 11022010022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022010022117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12283668 + ... + 13150380.

It is an arithmetic number, because the mean of its divisors is an integer number (602771418795).

Almost surely, 211022010022112 is an apocalyptic number.

11022010022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11022010022112 is an abundant number, since it is smaller than the sum of its proper divisors (17911018080048).

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

11022010022112 is a wasteful number, since it uses less digits than its factorization.

11022010022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999195 (or 999187 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11022010022112 its reverse (21122001022011), we get a palindrome (32144011044123).

The spelling of 11022010022112 in words is "eleven trillion, twenty-two billion, ten million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 132469 264938 397407 529876 794814 866713 1059752 1589628 1733426 2119504 2600139 3179256 3466852 4239008 5200278 6358512 6933704 10400556 12717024 13867408 20801112 27734816 41602224 83204448 114812604397 229625208794 344437813191 459250417588 688875626382 918500835176 1377751252764 1837001670352 2755502505528 3674003340704 5511005011056 11022010022112