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141231013000 = 23537117192551
BaseRepresentation
bin1000001110001000000…
…1100011110010001000
3111111112122001211010021
42003202001203302020
54303220114404000
6144514114430224
713126556542330
oct2034201436210
9444478054107
10141231013000
1154994252460
1223455b92374
131041992455c
146b9ad120c0
153a18d3611a
hex20e2063c88

141231013000 has 256 divisors, whose sum is σ = 412762521600. Its totient is φ = 43941600000.

The previous prime is 141231012991. The next prime is 141231013039. The reversal of 141231013000 is 310132141.

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 63 ways as a sum of consecutive naturals, for example, 55361725 + ... + 55364275.

It is an arithmetic number, because the mean of its divisors is an integer number (1612353600).

Almost surely, 2141231013000 is an apocalyptic number.

141231013000 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 141231013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206381260800).

141231013000 is an abundant number, since it is smaller than the sum of its proper divisors (271531508600).

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

141231013000 is a wasteful number, since it uses less digits than its factorization.

141231013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 141231013000 its reverse (310132141), we get a palindrome (141541145141).

The spelling of 141231013000 in words is "one hundred forty-one billion, two hundred thirty-one million, thirteen thousand".