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2021131313120 = 255101125070007
BaseRepresentation
bin11101011010010100110…
…100000101111111100000
321011012220010010210001202
4131122110310011333200
5231103234104004440
64144254522220332
7266010342462653
oct35322464057740
97135803123052
102021131313120
1170a17aa32127
122878609546a8
1311879043454a
146db7510589a
1537893217615
hex1d694d05fe0

2021131313120 has 48 divisors (see below), whose sum is σ = 4822199228448. Its totient is φ = 800448038400.

The previous prime is 2021131313101. The next prime is 2021131313137. The reversal of 2021131313120 is 213131311202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2021131313092 and 2021131313101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62518844 + ... + 62551163.

It is an arithmetic number, because the mean of its divisors is an integer number (100462483926).

Almost surely, 22021131313120 is an apocalyptic number.

2021131313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021131313120 is an abundant number, since it is smaller than the sum of its proper divisors (2801067915328).

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

2021131313120 is a wasteful number, since it uses less digits than its factorization.

2021131313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125070123 (or 125070115 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2021131313120 its reverse (213131311202), we get a palindrome (2234262624322).

The spelling of 2021131313120 in words is "two trillion, twenty-one billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 404 505 808 1010 1616 2020 3232 4040 8080 16160 125070007 250140014 500280028 625350035 1000560056 1250700070 2001120112 2501400140 4002240224 5002800280 10005600560 12632070707 20011201120 25264141414 50528282828 63160353535 101056565656 126320707070 202113131312 252641414140 404226262624 505282828280 1010565656560 2021131313120