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13032013203000 = 23325311263500519
BaseRepresentation
bin1011110110100100000010…
…0001001000011000111000
31201010211220101222201222200
42331221000201020120320
53202004030334444000
643414454010350200
72513350302341631
oct275510041103070
951124811881880
1013032013203000
114174933788a60
121565836a2b360
13736bb516b29c
14330a779a4888
15178ed4dd0500
hexbda40848638

13032013203000 has 384 divisors, whose sum is σ = 48235392691200. Its totient is φ = 3147257184000.

The previous prime is 13032013202983. The next prime is 13032013203017. The reversal of 13032013203000 is 30231023031.

13032013203000 is a `hidden beast` number, since 1 + 30 + 320 + 13 + 2 + 0 + 300 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13032013202983) and next prime (13032013203017).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 25786741 + ... + 26287259.

It is an arithmetic number, because the mean of its divisors is an integer number (125613001800).

Almost surely, 213032013203000 is an apocalyptic number.

13032013203000 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 13032013203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24117696345600).

13032013203000 is an abundant number, since it is smaller than the sum of its proper divisors (35203379488200).

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

13032013203000 is a wasteful number, since it uses less digits than its factorization.

13032013203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500820 (or 500803 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13032013203000 its reverse (30231023031), we get a palindrome (13062244226031).

The spelling of 13032013203000 in words is "thirteen trillion, thirty-two billion, thirteen million, two hundred three thousand".