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2221130131220 = 225711132934549
BaseRepresentation
bin100000010100100101101…
…011000010011100010100
321212100010101012102022002
4200110211223002130110
5242342333303144340
64420212331054432
7316320450415130
oct40244553023424
97770111172262
102221130131220
11786a81066350
122ba577ba1418
131315b442b770
1479708d9a3c0
153cb9b506715
hex20525ac2714

2221130131220 has 384 divisors, whose sum is σ = 6487737984000. Its totient is φ = 616874711040.

The previous prime is 2221130131147. The next prime is 2221130131229. The reversal of 2221130131220 is 221310311222.

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 = 2221130131192 and 2221130131201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221130131229) 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, 488265506 + ... + 488270054.

It is an arithmetic number, because the mean of its divisors is an integer number (16895151000).

Almost surely, 22221130131220 is an apocalyptic number.

2221130131220 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 2221130131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243868992000).

2221130131220 is an abundant number, since it is smaller than the sum of its proper divisors (4266607852780).

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

2221130131220 is a wasteful number, since it uses less digits than its factorization.

2221130131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4676 (or 4616 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2221130131220 its reverse (221310311222), we get a palindrome (2442440442442).

The spelling of 2221130131220 in words is "two trillion, two hundred twenty-one billion, one hundred thirty million, one hundred thirty-one thousand, two hundred twenty".