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142132202400001 = 11191844336873523
BaseRepresentation
bin100000010100010010111011…
…011011110110100100000001
3200122020201001120020011000111
4200110102323123312210001
5122112143222303300001
61222142344332151321
741636466321454552
oct4024227333664401
9618221046204014
10142132202400001
1141318a2396a950
1213b3620b008541
13614001720b458
14271534194a329
1511672b8870851
hex8144bb6f6901

142132202400001 has 16 divisors (see below), whose sum is σ = 163222866397440. Its totient is φ = 122403868690320.

The previous prime is 142132202399819. The next prime is 142132202400011. The reversal of 142132202400001 is 100004202231241.

It is a cyclic number.

It is not a de Polignac number, because 142132202400001 - 247 = 1394714044673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (142132202400011) 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, 14582175 + ... + 22291348.

It is an arithmetic number, because the mean of its divisors is an integer number (10201429149840).

Almost surely, 2142132202400001 is an apocalyptic number.

142132202400001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142132202400001 is a deficient number, since it is larger than the sum of its proper divisors (21090663997439).

142132202400001 is a wasteful number, since it uses less digits than its factorization.

142132202400001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36891996.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 142132202400001 its reverse (100004202231241), we get a palindrome (242136404631242).

The spelling of 142132202400001 in words is "one hundred forty-two trillion, one hundred thirty-two billion, two hundred two million, four hundred thousand, one".

Divisors: 1 11 19 209 18443 202873 350417 3854587 36873523 405608753 700596937 7706566307 680058384689 7480642231579 12921109309091 142132202400001