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1000201331220 = 22357134127116487
BaseRepresentation
bin11101000111000001010…
…01010010001000010100
310112121200202021002222220
432203200221102020110
5112341403020044340
62043253001422340
7132155631016350
oct16434051221024
93477622232886
101000201331220
11356201638033
12141a1949a9b0
137341abcaa40
14365a5094460
151b03e284ed0
hexe8e0a52214

1000201331220 has 384 divisors, whose sum is σ = 3544161288192. Its totient is φ = 205112217600.

The previous prime is 1000201331219. The next prime is 1000201331221. The reversal of 1000201331220 is 221331020001.

It is an interprime number because it is at equal distance from previous prime (1000201331219) and next prime (1000201331221).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1000201331220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000201331221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60657817 + ... + 60674303.

It is an arithmetic number, because the mean of its divisors is an integer number (9229586688).

Almost surely, 21000201331220 is an apocalyptic number.

1000201331220 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 1000201331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772080644096).

1000201331220 is an abundant number, since it is smaller than the sum of its proper divisors (2543959956972).

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

1000201331220 is a wasteful number, since it uses less digits than its factorization.

1000201331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16831 (or 16829 counting only the distinct ones).

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

Adding to 1000201331220 its reverse (221331020001), we get a palindrome (1221532351221).

The spelling of 1000201331220 in words is "one trillion, two hundred one million, three hundred thirty-one thousand, two hundred twenty".