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101343220 = 225112771663
BaseRepresentation
bin1100000101001…
…01111111110100
321001200202202121
412002211333310
5201420440340
614020045324
72340255166
oct602457764
9231622677
10101343220
1152229730
1229b33844
1317cc4004
14d660936
158d6c94a
hex60a5ff4

101343220 has 48 divisors (see below), whose sum is σ = 233146368. Its totient is φ = 36696960.

The previous prime is 101343211. The next prime is 101343223. The reversal of 101343220 is 22343101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101343194 and 101343203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101343223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60109 + ... + 61771.

It is an arithmetic number, because the mean of its divisors is an integer number (4857216).

Almost surely, 2101343220 is an apocalyptic number.

101343220 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 101343220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116573184).

101343220 is an abundant number, since it is smaller than the sum of its proper divisors (131803148).

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

101343220 is a wasteful number, since it uses less digits than its factorization.

101343220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1958 counting only the distinct ones).

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

The square root of 101343220 is about 10066.9369720884. The cubic root of 101343220 is about 466.2278721227.

Adding to 101343220 its reverse (22343101), we get a palindrome (123686321).

The spelling of 101343220 in words is "one hundred one million, three hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 277 554 1108 1385 1663 2770 3047 3326 5540 6094 6652 8315 12188 15235 16630 18293 30470 33260 36586 60940 73172 91465 182930 365860 460651 921302 1842604 2303255 4606510 5067161 9213020 10134322 20268644 25335805 50671610 101343220