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11403132000 = 2535313671091
BaseRepresentation
bin10101001111010110…
…11111110001100000
31002102201000010101020
422213223133301200
5141323200211000
65123304405440
7552403010541
oct124753376140
932381003336
1011403132000
114921852937
122262a76880
1310c95c46b0
147a264c4c8
1546b170ba0
hex2a7adfc60

11403132000 has 384 divisors, whose sum is σ = 40868126208. Its totient is φ = 2762496000.

The previous prime is 11403131969. The next prime is 11403132023. The reversal of 11403132000 is 23130411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10451455 + ... + 10452545.

It is an arithmetic number, because the mean of its divisors is an integer number (106427412).

Almost surely, 211403132000 is an apocalyptic number.

11403132000 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 11403132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20434063104).

11403132000 is an abundant number, since it is smaller than the sum of its proper divisors (29464994208).

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

11403132000 is a wasteful number, since it uses less digits than its factorization.

11403132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11403132000 its reverse (23130411), we get a palindrome (11426262411).

The spelling of 11403132000 in words is "eleven billion, four hundred three million, one hundred thirty-two thousand".