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1014431332001 = 2321917639569
BaseRepresentation
bin11101100001100001101…
…00011011011010100001
310120222102110112001022212
432300300310123122201
5113110023410111001
62054005012011505
7133201361023163
oct16606064333241
93528373461285
101014431332001
1136124404a25a
1214472b000b95
1374878069349
1437154d1c933
151b5c369b7bb
hexec30d1b6a1

1014431332001 has 6 divisors (see below), whose sum is σ = 1060454682210. Its totient is φ = 970325621408.

The previous prime is 1014431331973. The next prime is 1014431332007. The reversal of 1014431332001 is 1002331344101.

It can be written as a sum of positive squares in only one way, i.e., 665358333025 + 349072998976 = 815695^2 + 590824^2 .

It is not a de Polignac number, because 1014431332001 - 218 = 1014431069857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1014431332007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 958819256 + ... + 958820313.

It is an arithmetic number, because the mean of its divisors is an integer number (176742447035).

Almost surely, 21014431332001 is an apocalyptic number.

It is an amenable number.

1014431332001 is a deficient number, since it is larger than the sum of its proper divisors (46023350209).

1014431332001 is an equidigital number, since it uses as much as digits as its factorization.

1014431332001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917639615 (or 1917639592 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1014431332001 its reverse (1002331344101), we get a palindrome (2016762676102).

The spelling of 1014431332001 in words is "one trillion, fourteen billion, four hundred thirty-one million, three hundred thirty-two thousand, one".

Divisors: 1 23 529 1917639569 44105710087 1014431332001