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11129194300 = 22527109145861
BaseRepresentation
bin10100101110101101…
…00000011100111100
31001201121112122111111
422113112200130330
5140243033204200
65040201131404
7542535406420
oct122726403474
931647478444
1011129194300
1147a115a444
1221a7189b64
131084920493
14778100b80
154520ae0ba
hex2975a073c

11129194300 has 72 divisors (see below), whose sum is σ = 27853807520. Its totient is φ = 3780691200.

The previous prime is 11129194291. The next prime is 11129194301. The reversal of 11129194300 is 349192111.

11129194300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11129194301) 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 23 ways as a sum of consecutive naturals, for example, 3370 + ... + 149230.

Almost surely, 211129194300 is an apocalyptic number.

11129194300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11129194300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13926903760).

11129194300 is an abundant number, since it is smaller than the sum of its proper divisors (16724613220).

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

11129194300 is a wasteful number, since it uses less digits than its factorization.

11129194300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145991 (or 145984 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 31.

The spelling of 11129194300 in words is "eleven billion, one hundred twenty-nine million, one hundred ninety-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 109 140 175 218 350 436 545 700 763 1090 1526 2180 2725 3052 3815 5450 7630 10900 15260 19075 38150 76300 145861 291722 583444 729305 1021027 1458610 2042054 2917220 3646525 4084108 5105135 7293050 10210270 14586100 15898849 20420540 25525675 31797698 51051350 63595396 79494245 102102700 111291943 158988490 222583886 317976980 397471225 445167772 556459715 794942450 1112919430 1589884900 2225838860 2782298575 5564597150 11129194300