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11132043354 = 235611133323
BaseRepresentation
bin10100101111000010…
…11000000001011010
31001201210220101200000
422113201120001122
5140244300341404
65040342153430
7542601543615
oct122741300132
931653811600
1011132043354
1147a2825a33
1221a8122876
1310853aa203
1477864317c
15452473339
hex29785805a

11132043354 has 96 divisors (see below), whose sum is σ = 25655482944. Its totient is φ = 3616462080.

The previous prime is 11132043319. The next prime is 11132043379. The reversal of 11132043354 is 45334023111.

It is a happy number.

11132043354 is a `hidden beast` number, since 1 + 1 + 1 + 320 + 4 + 335 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3348337 + ... + 3351659.

It is an arithmetic number, because the mean of its divisors is an integer number (267244614).

Almost surely, 211132043354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11132043354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12827741472).

11132043354 is an abundant number, since it is smaller than the sum of its proper divisors (14523439590).

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

11132043354 is a wasteful number, since it uses less digits than its factorization.

11132043354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 11132043354 its reverse (45334023111), we get a palindrome (56466066465).

The spelling of 11132043354 in words is "eleven billion, one hundred thirty-two million, forty-three thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 54 61 81 113 122 162 183 226 243 339 366 486 549 678 1017 1098 1647 2034 3051 3294 3323 4941 6102 6646 6893 9153 9882 9969 13786 14823 18306 19938 20679 27459 29646 29907 41358 54918 59814 62037 89721 124074 179442 186111 202703 269163 372222 375499 405406 538326 558333 608109 750998 807489 1116666 1126497 1216218 1614978 1674999 1824327 2252994 3349998 3379491 3648654 5472981 6758982 10138473 10945962 16418943 20276946 22905439 30415419 32837886 45810878 49256829 60830838 68716317 91246257 98513658 137432634 182492514 206148951 412297902 618446853 1236893706 1855340559 3710681118 5566021677 11132043354