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1001331432221 = 231313071082531
BaseRepresentation
bin11101001001001000000…
…00010001101100011101
310112201121111202012010112
432210210000101230131
5112401211321312341
62044001051415405
7132225632511431
oct16444400215435
93481544665115
101001331432221
113567315416aa
12142093a54565
137356b08a663
14366711ca9c1
151b0a85b4aeb
hexe924011b1d

1001331432221 has 16 divisors (see below), whose sum is σ = 1056274103808. Its totient is φ = 947386954800.

The previous prime is 1001331432217. The next prime is 1001331432247. The reversal of 1001331432221 is 1222341331001.

It is a cyclic number.

It is not a de Polignac number, because 1001331432221 - 22 = 1001331432217 is a prime.

It is a super-3 number, since 3×10013314322213 (a number of 37 digits) contains 333 as substring.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001331432281) 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, 383726 + ... + 1466256.

It is an arithmetic number, because the mean of its divisors is an integer number (66017131488).

Almost surely, 21001331432221 is an apocalyptic number.

It is an amenable number.

1001331432221 is a deficient number, since it is larger than the sum of its proper divisors (54942671587).

1001331432221 is a wasteful number, since it uses less digits than its factorization.

1001331432221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082992.

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

Adding to 1001331432221 its reverse (1222341331001), we get a palindrome (2223672763222).

The spelling of 1001331432221 in words is "one trillion, one billion, three hundred thirty-one million, four hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 23 131 307 3013 7061 40217 924991 1082531 24898213 141811561 332337017 3261665903 7643751391 43536149227 1001331432221