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141442100 = 225211312517
BaseRepresentation
bin10000110111000…
…11110000110100
3100212011000002022
420123203300310
5242202121400
622011332312
73335144432
oct1033436064
9325130068
10141442100
11729275a8
123b451098
13233c3867
1414adbd52
15c63db85
hex86e3c34

141442100 has 36 divisors (see below), whose sum is σ = 309670284. Its totient is φ = 56071680.

The previous prime is 141442073. The next prime is 141442139. The reversal of 141442100 is 1244141.

It can be written as a sum of positive squares in 6 ways, for example, as 5626384 + 135815716 = 2372^2 + 11654^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5042 + ... + 17558.

Almost surely, 2141442100 is an apocalyptic number.

141442100 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 141442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154835142).

141442100 is an abundant number, since it is smaller than the sum of its proper divisors (168228184).

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

141442100 is a wasteful number, since it uses less digits than its factorization.

141442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12644 (or 12637 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 141442100 is about 11892.9432858313. The cubic root of 141442100 is about 521.0262032717.

Adding to 141442100 its reverse (1244141), we get a palindrome (142686241).

The spelling of 141442100 in words is "one hundred forty-one million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 2260 2825 5650 11300 12517 25034 50068 62585 125170 250340 312925 625850 1251700 1414421 2828842 5657684 7072105 14144210 28288420 35360525 70721050 141442100