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1201332020 = 225721225849
BaseRepresentation
bin100011110011010…
…1101111100110100
310002201111222201112
41013212231330310
54430020111040
6315112414152
741525103500
oct10746557464
93081458645
101201332020
11567136589
122963a7358
13161b6c865
14b5799300
1570700365
hex479adf34

1201332020 has 36 divisors (see below), whose sum is σ = 2934684900. Its totient is φ = 411884928.

The previous prime is 1201332017. The next prime is 1201332023. The reversal of 1201332020 is 202331021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1201332017) and next prime (1201332023).

It can be written as a sum of positive squares in 2 ways, for example, as 943472656 + 257859364 = 30716^2 + 16058^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1201331986 and 1201332004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201332023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 611945 + ... + 613904.

It is an arithmetic number, because the mean of its divisors is an integer number (81519025).

Almost surely, 21201332020 is an apocalyptic number.

1201332020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201332020 is an abundant number, since it is smaller than the sum of its proper divisors (1733352880).

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

1201332020 is a wasteful number, since it uses less digits than its factorization.

1201332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225872 (or 1225863 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1201332020 is about 34660.2368716661. The cubic root of 1201332020 is about 1063.0516133642.

Adding to 1201332020 its reverse (202331021), we get a palindrome (1403663041).

Subtracting from 1201332020 its reverse (202331021), we obtain a palindrome (999000999).

The spelling of 1201332020 in words is "one billion, two hundred one million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1225849 2451698 4903396 6129245 8580943 12258490 17161886 24516980 34323772 42904715 60066601 85809430 120133202 171618860 240266404 300333005 600666010 1201332020