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1220211300 = 22352711101523
BaseRepresentation
bin100100010111010…
…1111001001100100
310011001001011020010
41020232233021210
54444333230200
6321025210220
742144424230
oct11056571144
93131034203
101220211300
115768608a0
122a0790970
13165a4cb29
14b80b15c0
15721ce150
hex48baf264

1220211300 has 288 divisors, whose sum is σ = 4453714944. Its totient is φ = 250560000.

The previous prime is 1220211277. The next prime is 1220211313. The reversal of 1220211300 is 31120221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2332839 + ... + 2333361.

It is an arithmetic number, because the mean of its divisors is an integer number (15464288).

Almost surely, 21220211300 is an apocalyptic number.

1220211300 is a gapful number since it is divisible by the number (10) 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 1220211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226857472).

1220211300 is an abundant number, since it is smaller than the sum of its proper divisors (3233503644).

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

1220211300 is a wasteful number, since it uses less digits than its factorization.

1220211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1220211300 is about 34931.5230128891. The cubic root of 1220211300 is about 1068.5914152031.

Adding to 1220211300 its reverse (31120221), we get a palindrome (1251331521).

It can be divided in two parts, 122021 and 1300, that added together give a palindrome (123321).

The spelling of 1220211300 in words is "one billion, two hundred twenty million, two hundred eleven thousand, three hundred".