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31005422442501 = 31319237117647691
BaseRepresentation
bin1110000110011000000110…
…01100001101100000000101
311001210002102012101210200220
413003030003030031200011
513030443101121130001
6145535405555254553
76350032162215423
oct703140314154005
9131702365353626
1031005422442501
119974364728291
1235890852aa459
13143ba4cc35040
14792955a1c113
1538b7c75dec36
hex1c330330d805

31005422442501 has 32 divisors (see below), whose sum is σ = 46883564474880. Its totient is φ = 18068410929600.

The previous prime is 31005422442497. The next prime is 31005422442503. The reversal of 31005422442501 is 10524422450013.

It is not a de Polignac number, because 31005422442501 - 22 = 31005422442497 is a prime.

It is a super-3 number, since 3×310054224425013 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31005422442503) 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 31 ways as a sum of consecutive naturals, for example, 7066935 + ... + 10580756.

It is an arithmetic number, because the mean of its divisors is an integer number (1465111389840).

Almost surely, 231005422442501 is an apocalyptic number.

It is an amenable number.

31005422442501 is a deficient number, since it is larger than the sum of its proper divisors (15878142032379).

31005422442501 is a wasteful number, since it uses less digits than its factorization.

31005422442501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17650097.

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 31005422442501 its reverse (10524422450013), we get a palindrome (41529844892514).

The spelling of 31005422442501 in words is "thirty-one trillion, five billion, four hundred twenty-two million, four hundred forty-two thousand, five hundred one".

Divisors: 1 3 13 19 39 57 247 741 2371 7113 30823 45049 92469 135147 585637 1756911 17647691 52943073 229419983 335306129 688259949 1005918387 4358979677 13076939031 41842675361 125528026083 543954779693 795010831859 1631864339079 2385032495577 10335140814167 31005422442501