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11334328700 = 2252235419109
BaseRepresentation
bin10101000111001010…
…00010000101111100
31002020220112112222212
422203211002011330
5141203042004300
65112405555552
7550606130042
oct124345020574
932226475885
1011334328700
114896a29a02
122243a15bb8
1310b8284796
1479745c392
154650ce935
hex2a394217c

11334328700 has 72 divisors (see below), whose sum is σ = 25715124960. Its totient is φ = 4328121600.

The previous prime is 11334328699. The next prime is 11334328711. The reversal of 11334328700 is 782343311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1239746 + ... + 1248854.

Almost surely, 211334328700 is an apocalyptic number.

11334328700 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 11334328700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12857562480).

11334328700 is an abundant number, since it is smaller than the sum of its proper divisors (14380796260).

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

11334328700 is a wasteful number, since it uses less digits than its factorization.

11334328700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9687 (or 9680 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 11334328700 in words is "eleven billion, three hundred thirty-four million, three hundred twenty-eight thousand, seven hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 541 575 1082 1150 2164 2300 2705 5410 9109 10820 12443 13525 18218 24886 27050 36436 45545 49772 54100 62215 91090 124430 182180 209507 227725 248860 311075 419014 455450 622150 838028 910900 1047535 1244300 2095070 4190140 4927969 5237675 9855938 10475350 19711876 20950700 24639845 49279690 98559380 113343287 123199225 226686574 246398450 453373148 492796900 566716435 1133432870 2266865740 2833582175 5667164350 11334328700