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2001021322120 = 23571209702517
BaseRepresentation
bin11101000111100110001…
…010100100001110001000
321002021222121122101112021
4131013212022210032020
5230241042424301440
64131131223254224
7264366113412412
oct35074612441610
97067877571467
102001021322120
117016a0408257
12283989baa374
131169070286a2
146cbc838b9b2
15370b79c184a
hex1d1e62a4388

2001021322120 has 32 divisors (see below), whose sum is σ = 4502367610200. Its totient is φ = 800396149248.

The previous prime is 2001021322093. The next prime is 2001021322121. The reversal of 2001021322120 is 212231201002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 639734427556 + 1361286894564 = 799834^2 + 1166742^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2001021322094 and 2001021322103.

It is not an unprimeable number, because it can be changed into a prime (2001021322121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2497102 + ... + 3199618.

Almost surely, 22001021322120 is an apocalyptic number.

2001021322120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001021322120 is an abundant number, since it is smaller than the sum of its proper divisors (2501346288080).

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

2001021322120 is a wasteful number, since it uses less digits than its factorization.

2001021322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773737 (or 773733 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2001021322120 its reverse (212231201002), we get a palindrome (2213252523122).

The spelling of 2001021322120 in words is "two trillion, one billion, twenty-one million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71209 142418 284836 356045 569672 702517 712090 1405034 1424180 2810068 2848360 3512585 5620136 7025170 14050340 28100680 50025533053 100051066106 200102132212 250127665265 400204264424 500255330530 1000510661060 2001021322120