Search a number
-
+
11030031222102 = 23217192388792993
BaseRepresentation
bin1010000010000010000100…
…0101111100010101010110
31110001110102211200211100200
42200200201011330111112
52421204000443101402
635243043144521330
72215615312310604
oct240404105742526
943043384624320
1011030031222102
1135728a0088632
1212a183b180246
136201870cb469
142a1bdbbca874
15141db2dee21c
hexa082117c556

11030031222102 has 192 divisors, whose sum is σ = 27825709317120. Its totient is φ = 3132172910592.

The previous prime is 11030031222053. The next prime is 11030031222107. The reversal of 11030031222102 is 20122213003011.

11030031222102 is a `hidden beast` number, since 1 + 10 + 300 + 31 + 222 + 102 = 666.

It is a super-3 number, since 3×110300312221023 (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11030031222107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118564918 + ... + 118657910.

It is an arithmetic number, because the mean of its divisors is an integer number (144925569360).

Almost surely, 211030031222102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11030031222102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13912854658560).

11030031222102 is an abundant number, since it is smaller than the sum of its proper divisors (16795678095018).

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

11030031222102 is a wasteful number, since it uses less digits than its factorization.

11030031222102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93947 (or 93944 counting only the distinct ones).

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

Adding to 11030031222102 its reverse (20122213003011), we get a palindrome (31152244225113).

The spelling of 11030031222102 in words is "eleven trillion, thirty billion, thirty-one million, two hundred twenty-two thousand, one hundred two".