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10006441430531 = 7213109144116507
BaseRepresentation
bin1001000110011100111001…
…1000110000111000000011
31022102121101002220211100112
42101213032120300320003
52302421143001234111
633140521251141535
72051640642531200
oct221471630607003
938377332824315
1010006441430531
113208787358127
121157394ba48ab
135777ac810590
14268458808ca7
151254556c4e8b
hex919ce630e03

10006441430531 has 24 divisors (see below), whose sum is σ = 12650547072240. Its totient is φ = 7844549654592.

The previous prime is 10006441430497. The next prime is 10006441430543. The reversal of 10006441430531 is 13503414460001.

It is a happy number.

It is not a de Polignac number, because 10006441430531 - 230 = 10005367688707 is a prime.

It is a super-2 number, since 2×100064414305312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10006441430551) 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 23 ways as a sum of consecutive naturals, for example, 71988821 + ... + 72127686.

It is an arithmetic number, because the mean of its divisors is an integer number (527106128010).

Almost surely, 210006441430531 is an apocalyptic number.

10006441430531 is a deficient number, since it is larger than the sum of its proper divisors (2644105641709).

10006441430531 is a wasteful number, since it uses less digits than its factorization.

10006441430531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144116643 (or 144116636 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 10006441430531 its reverse (13503414460001), we get a palindrome (23509855890532).

The spelling of 10006441430531 in words is "ten trillion, six billion, four hundred forty-one million, four hundred thirty thousand, five hundred thirty-one".

Divisors: 1 7 13 49 91 109 637 763 1417 5341 9919 69433 144116507 1008815549 1873514591 7061708843 13114602137 15708699263 91802214959 109960894841 204213090419 769726263887 1429491632933 10006441430531