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1001231314431 = 329101344933037
BaseRepresentation
bin11101001000111100000…
…10010110110111111111
310112201100112100200100020
432210132002112313333
5112401010204030211
62043543113503223
7132223305516015
oct16443602266777
93481315320306
101001231314431
1135668aa7a727
12142066411b13
137355340536a
1436661ba88b5
151b09e8da306
hexe91e096dff

1001231314431 has 32 divisors (see below), whose sum is σ = 1395128664000. Its totient is φ = 637885516800.

The previous prime is 1001231314427. The next prime is 1001231314471. The reversal of 1001231314431 is 1344131321001.

It is a happy number.

It is not a de Polignac number, because 1001231314431 - 22 = 1001231314427 is a prime.

It is a super-2 number, since 2×10012313144312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001231314471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30289845 + ... + 30322881.

It is an arithmetic number, because the mean of its divisors is an integer number (43597770750).

Almost surely, 21001231314431 is an apocalyptic number.

1001231314431 is a deficient number, since it is larger than the sum of its proper divisors (393897349569).

1001231314431 is a wasteful number, since it uses less digits than its factorization.

1001231314431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36619.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1001231314431 its reverse (1344131321001), we get a palindrome (2345362635432).

The spelling of 1001231314431 in words is "one trillion, one billion, two hundred thirty-one million, three hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 3 29 87 101 303 2929 3449 8787 10347 33037 99111 100021 300063 348349 958073 1045047 2874219 3336737 10010211 10102121 30306363 96765373 113944613 290296119 341833839 3304393777 9913181331 11508405913 34525217739 333743771477 1001231314431