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101301340 = 22571973673
BaseRepresentation
bin1100000100110…
…11110001011100
321001121122022111
412002123301130
5201413120330
614015123404
72340022120
oct602336134
9231548274
10101301340
1152200218
1229b13564
1317caac2a
14d64d580
158d6032a
hex609bc5c

101301340 has 48 divisors (see below), whose sum is σ = 244423872. Its totient is φ = 34546176.

The previous prime is 101301337. The next prime is 101301349. The reversal of 101301340 is 43103101.

It is a super-2 number, since 2×1013013402 = 20523922971591200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101301340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101301349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25744 + ... + 29416.

It is an arithmetic number, because the mean of its divisors is an integer number (5092164).

Almost surely, 2101301340 is an apocalyptic number.

101301340 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 101301340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122211936).

101301340 is an abundant number, since it is smaller than the sum of its proper divisors (143122532).

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

101301340 is a wasteful number, since it uses less digits than its factorization.

101301340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 101301340 is about 10064.8566805494. The cubic root of 101301340 is about 466.1636405160.

Adding to 101301340 its reverse (43103101), we get a palindrome (144404441).

The spelling of 101301340 in words is "one hundred one million, three hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 197 394 788 985 1379 1970 2758 3673 3940 5516 6895 7346 13790 14692 18365 25711 27580 36730 51422 73460 102844 128555 257110 514220 723581 1447162 2894324 3617905 5065067 7235810 10130134 14471620 20260268 25325335 50650670 101301340