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1220001300 = 2232527197983
BaseRepresentation
bin100100010110111…
…1011111000010100
310011000122111011100
41020231323320110
54444310020200
6321020510100
742142561050
oct11055737024
93130574140
101220001300
11576728041
122a06ab330
131659a837b
14b8058c60
157218bd00
hex48b7be14

1220001300 has 216 divisors, whose sum is σ = 4396968576. Its totient is φ = 277159680.

The previous prime is 1220001287. The next prime is 1220001323. The reversal of 1220001300 is 31000221.

It is a happy number.

1220001300 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1240609 + ... + 1241591.

It is an arithmetic number, because the mean of its divisors is an integer number (20356336).

Almost surely, 21220001300 is an apocalyptic number.

1220001300 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 1220001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198484288).

1220001300 is an abundant number, since it is smaller than the sum of its proper divisors (3176967276).

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

1220001300 is a wasteful number, since it uses less digits than its factorization.

1220001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1220001300 is about 34928.5170025869. The cubic root of 1220001300 is about 1068.5301096812.

Adding to 1220001300 its reverse (31000221), we get a palindrome (1251001521).

The spelling of 1220001300 in words is "one billion, two hundred twenty million, one thousand, three hundred".