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1001034422141 = 131738317118213
BaseRepresentation
bin11101001000100100100…
…11010001011101111101
310112200211210212111220012
432210102103101131331
5112400104303002031
62043511401433005
7132215365124015
oct16442223213575
93480753774805
101001034422141
1135659991a626
1214201049b765
1373521698750
1436643994c45
151b08c496b2b
hexe9124d177d

1001034422141 has 16 divisors (see below), whose sum is σ = 1141490461104. Its totient is φ = 869646910464.

The previous prime is 1001034422111. The next prime is 1001034422149. The reversal of 1001034422141 is 1412244301001.

It can be written as a sum of positive squares in 8 ways, for example, as 55015578916 + 946018843225 = 234554^2 + 972635^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001034422141 - 210 = 1001034421117 is a prime.

It is a super-2 number, since 2×10010344221412 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001034422149) 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, 8408951 + ... + 8527163.

It is an arithmetic number, because the mean of its divisors is an integer number (71343153819).

Almost surely, 21001034422141 is an apocalyptic number.

It is an amenable number.

1001034422141 is a deficient number, since it is larger than the sum of its proper divisors (140456038963).

1001034422141 is a wasteful number, since it uses less digits than its factorization.

1001034422141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156560.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 1001034422141 its reverse (1412244301001), we get a palindrome (2413278723142).

The spelling of 1001034422141 in words is "one trillion, one billion, thirty-four million, four hundred twenty-two thousand, one hundred forty-one".

Divisors: 1 13 17 221 38317 118213 498121 651389 1536769 2009621 8468057 26125073 4529567521 58884377773 77002647857 1001034422141