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101053412163 = 33113079291193
BaseRepresentation
bin101111000011101000…
…0001011001101000011
3100122211120211020002000
41132013100023031003
53123424133142123
6114231233155043
710205124554664
oct1360720131503
9318746736060
10101053412163
1139947020270
12177026bba83
1396b5b2b152
144c68d1336b
15296696bb43
hex178740b343

101053412163 has 64 divisors (see below), whose sum is σ = 164164492800. Its totient is φ = 60928174080.

The previous prime is 101053412143. The next prime is 101053412219. The reversal of 101053412163 is 361214350101.

It is a happy number.

101053412163 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 534 + 121 + 6 + 3 = 666.

It is not a de Polignac number, because 101053412163 - 221 = 101051315011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101053412143) 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 63 ways as a sum of consecutive naturals, for example, 84704695 + ... + 84705887.

It is an arithmetic number, because the mean of its divisors is an integer number (2565070200).

Almost surely, 2101053412163 is an apocalyptic number.

101053412163 is a deficient number, since it is larger than the sum of its proper divisors (63111080637).

101053412163 is a wasteful number, since it uses less digits than its factorization.

101053412163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2443 counting only the distinct ones).

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

Adding to 101053412163 its reverse (361214350101), we get a palindrome (462267762264).

The spelling of 101053412163 in words is "one hundred one billion, fifty-three million, four hundred twelve thousand, one hundred sixty-three".

Divisors: 1 3 9 11 27 33 99 297 307 921 929 1193 2763 2787 3377 3579 8289 8361 10131 10219 10737 13123 25083 30393 30657 32211 39369 91179 91971 118107 275913 285203 354321 366251 855609 1098753 1108297 2566827 3137233 3296259 3324891 4028761 7700481 9411699 9888777 9974673 12086283 12191267 28235097 29924019 36258849 36573801 84705291 108776547 109721403 329164209 340247179 1020741537 3062224611 3742718969 9186673833 11228156907 33684470721 101053412163