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1001221431301 = 713101631082597
BaseRepresentation
bin11101001000111010111…
…00101010000000000101
310112201022211202120020101
432210131130222000011
5112401000141300201
62043542122004101
7132223125514150
oct16443534520005
93481284676211
101001221431301
1135668543a353
12142063046631
1373551354a60
1436660754c97
151b09dad6d01
hexe91d72a005

1001221431301 has 16 divisors (see below), whose sum is σ = 1232394920064. Its totient is φ = 792096519744.

The previous prime is 1001221431299. The next prime is 1001221431311. The reversal of 1001221431301 is 1031341221001.

It is a cyclic number.

It is not a de Polignac number, because 1001221431301 - 21 = 1001221431299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001221431311) 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 15 ways as a sum of consecutive naturals, for example, 383535 + ... + 1466131.

It is an arithmetic number, because the mean of its divisors is an integer number (77024682504).

Almost surely, 21001221431301 is an apocalyptic number.

It is an amenable number.

1001221431301 is a deficient number, since it is larger than the sum of its proper divisors (231173488763).

1001221431301 is a wasteful number, since it uses less digits than its factorization.

1001221431301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092780.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1001221431301 its reverse (1031341221001), we get a palindrome (2032562652302).

The spelling of 1001221431301 in words is "one trillion, one billion, two hundred twenty-one million, four hundred thirty-one thousand, three hundred one".

Divisors: 1 7 13 91 10163 71141 132119 924833 1082597 7578179 14073761 98516327 11002433311 77017033177 143031633043 1001221431301