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4311221220 = 22335191393023
BaseRepresentation
bin1000000001111100…
…00000001111100100
3102010110022201201000
410000332000033210
532312133034340
61551444233300
7211556530035
oct40076001744
912113281630
104311221220
111912632349
12a0399b830
1353924ab97
142cc808a8c
151a374dd30
hex100f803e4

4311221220 has 192 divisors, whose sum is σ = 14224896000. Its totient is φ = 1080957312.

The previous prime is 4311221219. The next prime is 4311221227. The reversal of 4311221220 is 221221134.

It is a happy number.

4311221220 is a `hidden beast` number, since 431 + 1 + 2 + 212 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4311221193 and 4311221202.

It is not an unprimeable number, because it can be changed into a prime (4311221227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1424629 + ... + 1427651.

It is an arithmetic number, because the mean of its divisors is an integer number (74088000).

Almost surely, 24311221220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4311221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7112448000).

4311221220 is an abundant number, since it is smaller than the sum of its proper divisors (9913674780).

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

4311221220 is a wasteful number, since it uses less digits than its factorization.

4311221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3199 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4311221220 is about 65659.8904964058. The cubic root of 4311221220 is about 1627.5466146474.

Adding to 4311221220 its reverse (221221134), we get a palindrome (4532442354).

The spelling of 4311221220 in words is "four billion, three hundred eleven million, two hundred twenty-one thousand, two hundred twenty".