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106005011643 = 3271784121157
BaseRepresentation
bin110001010111001100…
…1000001110010111011
3101010121200010112121100
41202232121001302323
53214044240333033
6120410435142443
710441621506036
oct1425631016273
9333550115540
10106005011643
1140a5807a243
1218664a44a23
139cc494167b
1451b87b601d
152b56512513
hex18ae641cbb

106005011643 has 24 divisors (see below), whose sum is σ = 155302089696. Its totient is φ = 69662476800.

The previous prime is 106005011621. The next prime is 106005011653. The reversal of 106005011643 is 346110500601.

106005011643 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 0 + 5 + 0 + 11 + 643 = 666.

It is not a de Polignac number, because 106005011643 - 26 = 106005011579 is a prime.

It is a super-2 number, since 2×1060050116432 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106005011653) 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, 4999821 + ... + 5020977.

It is an arithmetic number, because the mean of its divisors is an integer number (6470920404).

Almost surely, 2106005011643 is an apocalyptic number.

106005011643 is a deficient number, since it is larger than the sum of its proper divisors (49297078053).

106005011643 is a wasteful number, since it uses less digits than its factorization.

106005011643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29075 (or 29072 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 106005011643 in words is "one hundred six billion, five million, eleven thousand, six hundred forty-three".

Divisors: 1 3 9 71 213 639 7841 21157 23523 63471 70569 190413 556711 1502147 1670133 4506441 5010399 13519323 165892037 497676111 1493028333 11778334627 35335003881 106005011643