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11442222330 = 23571110149043
BaseRepresentation
bin10101010100000001…
…00111010011111010
31002112102120010020020
422222000213103322
5141413202103310
65131222311310
7553356166530
oct125200472372
932472503206
1011442222330
114941921aa0
122273b88536
131104730176
147a7906150
1546e7e3170
hex2aa0274fa

11442222330 has 128 divisors (see below), whose sum is σ = 34577197056. Its totient is φ = 2354016000.

The previous prime is 11442222277. The next prime is 11442222343. The reversal of 11442222330 is 3322224411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11442222330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 208789 + ... + 257831.

It is an arithmetic number, because the mean of its divisors is an integer number (270134352).

Almost surely, 211442222330 is an apocalyptic number.

11442222330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11442222330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17288598528).

11442222330 is an abundant number, since it is smaller than the sum of its proper divisors (23134974726).

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

11442222330 is a wasteful number, since it uses less digits than its factorization.

11442222330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49172.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 11442222330 its reverse (3322224411), we get a palindrome (14764446741).

The spelling of 11442222330 in words is "eleven billion, four hundred forty-two million, two hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 101 105 110 154 165 202 210 231 303 330 385 462 505 606 707 770 1010 1111 1155 1414 1515 2121 2222 2310 3030 3333 3535 4242 5555 6666 7070 7777 10605 11110 15554 16665 21210 23331 33330 38885 46662 49043 77770 98086 116655 147129 233310 245215 294258 343301 490430 539473 686602 735645 1029903 1078946 1471290 1618419 1716505 2059806 2697365 3236838 3433010 3776311 4953343 5149515 5394730 7552622 8092095 9906686 10299030 11328933 14860029 16184190 18881555 22657866 24766715 29720058 34673401 37763110 49533430 54486773 56644665 69346802 74300145 104020203 108973546 113289330 148600290 163460319 173367005 208040406 272433865 326920638 346734010 381407411 520101015 544867730 762814822 817301595 1040202030 1144222233 1634603190 1907037055 2288444466 3814074110 5721111165 11442222330