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11221410522 = 23722313712113
BaseRepresentation
bin10100111001101100…
…10010001011011010
31001222001001201101010
422130312102023122
5140440140114042
65053253434350
7545035262400
oct123466221332
931861051333
1011221410522
1148392148a3
12221203b9b6
13109aa6a0aa
14786467470
1545a22759c
hex29cd922da

11221410522 has 96 divisors (see below), whose sum is σ = 27443152512. Its totient is φ = 3044084736.

The previous prime is 11221410493. The next prime is 11221410547. The reversal of 11221410522 is 22501412211.

11221410522 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 920338 + ... + 932450.

It is an arithmetic number, because the mean of its divisors is an integer number (285866172).

Almost surely, 211221410522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221410522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13721576256).

11221410522 is an abundant number, since it is smaller than the sum of its proper divisors (16221741990).

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

11221410522 is a wasteful number, since it uses less digits than its factorization.

11221410522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12292 (or 12285 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 11221410522 its reverse (22501412211), we get a palindrome (33722822733).

The spelling of 11221410522 in words is "eleven billion, two hundred twenty-one million, four hundred ten thousand, five hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 69 98 137 138 147 161 274 294 322 411 483 822 959 966 1127 1918 2254 2877 3151 3381 5754 6302 6713 6762 9453 12113 13426 18906 20139 22057 24226 36339 40278 44114 66171 72678 84791 132342 154399 169582 254373 278599 308798 463197 508746 557198 593537 835797 926394 1187074 1659481 1671594 1780611 1950193 3318962 3561222 3900386 4978443 5850579 9956886 11616367 11701158 13651351 23232734 27302702 34849101 38168063 40954053 69698202 76336126 81314569 81908106 114504189 162629138 229008378 243943707 267176441 487887414 534352882 801529323 1603058646 1870235087 3740470174 5610705261 11221410522