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11301003000 = 2332537179381
BaseRepresentation
bin10101000011001011…
…11001111011111000
31002011120211102201200
422201211321323320
5141121024044000
65105215414200
7550022640420
oct124145717370
932146742650
1011301003000
11487a137901
122234824360
1310b13b6b31
14792c65480
154621ea500
hex2a1979ef8

11301003000 has 192 divisors, whose sum is σ = 43654403520. Its totient is φ = 2583072000.

The previous prime is 11301002983. The next prime is 11301003013. The reversal of 11301003000 is 30010311.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 47 ways as a sum of consecutive naturals, for example, 26691 + ... + 152690.

It is an arithmetic number, because the mean of its divisors is an integer number (227366685).

Almost surely, 211301003000 is an apocalyptic number.

11301003000 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 11301003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21827201760).

11301003000 is an abundant number, since it is smaller than the sum of its proper divisors (32353400520).

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

11301003000 is a wasteful number, since it uses less digits than its factorization.

11301003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179415 (or 179398 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 11301003000 its reverse (30010311), we get a palindrome (11331013311).

The spelling of 11301003000 in words is "eleven billion, three hundred one million, three thousand".