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1220130000 = 2433544519
BaseRepresentation
bin100100010111001…
…1011010011010000
310011000220000201000
41020232123103100
54444323130000
6321023342000
742143635215
oct11056332320
93130800630
101220130000
11576805801
122a0751900
13165a21b1b
14b808db0c
15721b5000
hex48b9b4d0

1220130000 has 200 divisors, whose sum is σ = 4377348800. Its totient is φ = 325296000.

The previous prime is 1220129993. The next prime is 1220130007. The reversal of 1220130000 is 310221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1220129993) and next prime (1220130007).

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220130007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 267741 + ... + 272259.

It is an arithmetic number, because the mean of its divisors is an integer number (21886744).

Almost surely, 21220130000 is an apocalyptic number.

1220130000 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 1220130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188674400).

1220130000 is an abundant number, since it is smaller than the sum of its proper divisors (3157218800).

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

1220130000 is an equidigital number, since it uses as much as digits as its factorization.

1220130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4556 (or 4529 counting only the distinct ones).

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

The square root of 1220130000 is about 34930.3592881608. The cubic root of 1220130000 is about 1068.5676820427.

Adding to 1220130000 its reverse (310221), we get a palindrome (1220440221).

The spelling of 1220130000 in words is "one billion, two hundred twenty million, one hundred thirty thousand".