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1032020122320 = 2432511259200779
BaseRepresentation
bin11110000010010010011…
…00010101101011010000
310122122211020221011201100
433001021030111223100
5113402034122403240
62110034204504400
7134363264205225
oct17011114255320
93578736834640
101032020122320
1136874a4aa800
1214801954b100
137641c031c95
1437d42ca794c
151bca28c9e30
hexf049315ad0

1032020122320 has 360 divisors, whose sum is σ = 3874178599200. Its totient is φ = 245945018880.

The previous prime is 1032020122271. The next prime is 1032020122333. The reversal of 1032020122320 is 232210202301.

1032020122320 is a `hidden beast` number, since 1 + 0 + 320 + 2 + 0 + 1 + 22 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 1032020122293 and 1032020122302.

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 71 ways as a sum of consecutive naturals, for example, 5039691 + ... + 5240469.

It is an arithmetic number, because the mean of its divisors is an integer number (10761607220).

Almost surely, 21032020122320 is an apocalyptic number.

1032020122320 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 1032020122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937089299600).

1032020122320 is an abundant number, since it is smaller than the sum of its proper divisors (2842158476880).

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

1032020122320 is a wasteful number, since it uses less digits than its factorization.

1032020122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200879 (or 200859 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1032020122320 its reverse (232210202301), we get a palindrome (1264230324621).

The spelling of 1032020122320 in words is "one trillion, thirty-two billion, twenty million, one hundred twenty-two thousand, three hundred twenty".