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107121227140 = 22514933587449
BaseRepresentation
bin110001111000011101…
…1000011010110000100
3101020111110111011102001
41203300323003112010
53223341013232030
6121113311355044
710511364256444
oct1436073032604
9336443434361
10107121227140
114148015a494
1218916822a84
13a141c7c005
145282b36124
152bbe4eccca
hex18f0ec3584

107121227140 has 24 divisors (see below), whose sum is σ = 225105312600. Its totient is φ = 42819779328.

The previous prime is 107121227117. The next prime is 107121227141. The reversal of 107121227140 is 41722121701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 53304650884 + 53816576256 = 230878^2 + 231984^2 .

It is a super-2 number, since 2×1071212271402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107121227099 and 107121227108.

It is not an unprimeable number, because it can be changed into a prime (107121227141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1763865 + ... + 1823584.

It is an arithmetic number, because the mean of its divisors is an integer number (9379388025).

Almost surely, 2107121227140 is an apocalyptic number.

107121227140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107121227140 is an abundant number, since it is smaller than the sum of its proper divisors (117984085460).

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

107121227140 is a wasteful number, since it uses less digits than its factorization.

107121227140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3588951 (or 3588949 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 28.

Adding to 107121227140 its reverse (41722121701), we get a palindrome (148843348841).

The spelling of 107121227140 in words is "one hundred seven billion, one hundred twenty-one million, two hundred twenty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1493 2986 5972 7465 14930 29860 3587449 7174898 14349796 17937245 35874490 71748980 5356061357 10712122714 21424245428 26780306785 53560613570 107121227140