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11322121122 = 23213592573191
BaseRepresentation
bin10101000101101100…
…11101101110100010
31002020001120100100100
422202312131232202
5141141430333442
65111252203230
7550400304324
oct124266355642
932201510310
1011322121122
1148900511a4
12223b909516
1310b589c170
147959a1614
15463ebc84c
hex2a2d9dba2

11322121122 has 96 divisors (see below), whose sum is σ = 26979039360. Its totient is φ = 3410288640.

The previous prime is 11322121121. The next prime is 11322121127. The reversal of 11322121122 is 22112122311.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11322121095 and 11322121104.

It is not an unprimeable number, because it can be changed into a prime (11322121121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3546547 + ... + 3549737.

It is an arithmetic number, because the mean of its divisors is an integer number (281031660).

Almost surely, 211322121122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11322121122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13489519680).

11322121122 is an abundant number, since it is smaller than the sum of its proper divisors (15656918238).

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

11322121122 is a wasteful number, since it uses less digits than its factorization.

11322121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528 (or 3525 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 11322121122 its reverse (22112122311), we get a palindrome (33434243433).

The spelling of 11322121122 in words is "eleven billion, three hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 59 78 117 118 177 234 257 354 514 531 767 771 1062 1534 1542 2301 2313 3191 3341 4602 4626 6382 6682 6903 9573 10023 13806 15163 19146 20046 28719 30069 30326 41483 45489 57438 60138 82966 90978 124449 136467 188269 197119 248898 272934 373347 376538 394238 564807 591357 746694 820087 1129614 1182714 1640174 1694421 1774071 2447497 2460261 3388842 3548142 4894994 4920522 7342491 7380783 10661131 14684982 14761566 21322262 22027473 31983393 44054946 48385133 63966786 95950179 96770266 145155399 191900358 290310798 435466197 629006729 870932394 1258013458 1887020187 3774040374 5661060561 11322121122