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11390803200 = 28345274373
BaseRepresentation
bin10101001101111000…
…11101110100000000
31002101211210202110000
422212330131310000
5141312021200300
65122144240000
7552163141530
oct124674356400
932354722400
1011390803200
1149158a2047
12225a910000
1310c6b98b4a
147a0b5d4c0
1546a037c00
hex2a6f1dd00

11390803200 has 1080 divisors, whose sum is σ = 49927790528. Its totient is φ = 2508226560.

The previous prime is 11390803187. The next prime is 11390803201. The reversal of 11390803200 is 230809311.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×113908032002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11390803201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 156038364 + ... + 156038436.

Almost surely, 211390803200 is an apocalyptic number.

11390803200 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 11390803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24963895264).

11390803200 is an abundant number, since it is smaller than the sum of its proper divisors (38536987328).

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

11390803200 is an equidigital number, since it uses as much as digits as its factorization.

11390803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 11390803200 in words is "eleven billion, three hundred ninety million, eight hundred three thousand, two hundred".