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1013232220 = 22571121343107
BaseRepresentation
bin111100011001001…
…011001001011100
32121121120112022021
4330121023021130
54033341412340
6244313025524
734052221540
oct7431131134
92547515267
101013232220
1147aa41400
122433b52a4
13131bc0cc0
14987d3a20
155de46e4a
hex3c64b25c

1013232220 has 288 divisors, whose sum is σ = 2973003264. Its totient is φ = 282078720.

The previous prime is 1013232173. The next prime is 1013232229. The reversal of 1013232220 is 222323101.

1013232220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10132322202 = 2053279063292256800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013232194 and 1013232203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013232229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9469407 + ... + 9469513.

It is an arithmetic number, because the mean of its divisors is an integer number (10322928).

Almost surely, 21013232220 is an apocalyptic number.

1013232220 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 1013232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486501632).

1013232220 is an abundant number, since it is smaller than the sum of its proper divisors (1959771044).

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

1013232220 is a wasteful number, since it uses less digits than its factorization.

1013232220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1013232220 is about 31831.3088012416. The cubic root of 1013232220 is about 1004.3914271387.

Adding to 1013232220 its reverse (222323101), we get a palindrome (1235555321).

The spelling of 1013232220 in words is "one billion, thirteen million, two hundred thirty-two thousand, two hundred twenty".