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101420663643 = 321341193110949
BaseRepresentation
bin101111001110100100…
…1001000001101011011
3100200210011212112101200
41132131021020031123
53130202142214033
6114331512445243
710220204263005
oct1363511101533
9320704775350
10101420663643
113a015358792
12177a56a9823
139743c44710
144ca19d1375
152988d12013
hex179d24835b

101420663643 has 48 divisors (see below), whose sum is σ = 161711877600. Its totient is φ = 60853363200.

The previous prime is 101420663623. The next prime is 101420663653. The reversal of 101420663643 is 346366024101.

101420663643 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 0 + 6 + 6 + 3 + 643 = 666.

It is not a de Polignac number, because 101420663643 - 28 = 101420663387 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101420663598 and 101420663607.

It is not an unprimeable number, because it can be changed into a prime (101420663623) 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 47 ways as a sum of consecutive naturals, for example, 9257533 + ... + 9268481.

It is an arithmetic number, because the mean of its divisors is an integer number (3368997450).

Almost surely, 2101420663643 is an apocalyptic number.

101420663643 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101420663643 is a deficient number, since it is larger than the sum of its proper divisors (60291213957).

101420663643 is a wasteful number, since it uses less digits than its factorization.

101420663643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12940 (or 12937 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 101420663643 its reverse (346366024101), we get a palindrome (447786687744).

The spelling of 101420663643 in words is "one hundred one billion, four hundred twenty million, six hundred sixty-three thousand, six hundred forty-three".

Divisors: 1 3 9 13 39 41 117 123 369 533 1599 1931 4797 5793 10949 17379 25103 32847 75309 79171 98541 142337 225927 237513 427011 448909 712539 1029223 1281033 1346727 3087669 4040181 5835817 9263007 17507451 21142519 52522353 63427557 190282671 274852747 824558241 866843279 2473674723 2600529837 7801589511 11268962627 33806887881 101420663643