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2021002103120 = 2457211213327757
BaseRepresentation
bin11101011010001101000…
…111001100100101010000
321011012120010000020021012
4131122031013030211100
5231103003014244440
64144234024550052
7266004213302300
oct35321507144520
97135503006235
102021002103120
1170a113aaa800
12287825622328
1311876c734520
146db61cad600
1537886be2e65
hex1d68d1cc950

2021002103120 has 360 divisors, whose sum is σ = 6470245768392. Its totient is φ = 581465364480.

The previous prime is 2021002103089. The next prime is 2021002103207. The reversal of 2021002103120 is 213012001202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 37174924864 + 1983827178256 = 192808^2 + 1408484^2 .

It is a super-2 number, since 2×20210021031202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2021002103095 and 2021002103104.

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 71 ways as a sum of consecutive naturals, for example, 6002282 + ... + 6330038.

Almost surely, 22021002103120 is an apocalyptic number.

2021002103120 is a gapful number since it is divisible by the number (20) 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 2021002103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235122884196).

2021002103120 is an abundant number, since it is smaller than the sum of its proper divisors (4449243665272).

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

2021002103120 is a wasteful number, since it uses less digits than its factorization.

2021002103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327819 (or 327795 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2021002103120 its reverse (213012001202), we get a palindrome (2234014104322).

The spelling of 2021002103120 in words is "two trillion, twenty-one billion, two million, one hundred three thousand, one hundred twenty".