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100442005414645 = 51731353862712517
BaseRepresentation
bin10110110101100111111010…
…000011011010001011110101
3111011122011101001111001111111
4112311213322003122023311
5101131120211341232040
6553342230440435021
730104460346160056
oct2665477203321365
9434564331431444
10100442005414645
112a0052405a2294
12b322400478a71
13440784315860b
141ab35c1a4a72d
15b92ad8c81dea
hex5b59fa0da2f5

100442005414645 has 64 divisors (see below), whose sum is σ = 132136281040896. Its totient is φ = 72965724733440.

The previous prime is 100442005414637. The next prime is 100442005414693. The reversal of 100442005414645 is 546414500244001.

It is not a de Polignac number, because 100442005414645 - 23 = 100442005414637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100442005414598 and 100442005414607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8024440927 + ... + 8024453443.

It is an arithmetic number, because the mean of its divisors is an integer number (2064629391264).

Almost surely, 2100442005414645 is an apocalyptic number.

It is an amenable number.

100442005414645 is a deficient number, since it is larger than the sum of its proper divisors (31694275626251).

100442005414645 is a wasteful number, since it uses less digits than its factorization.

100442005414645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21550.

The product of its (nonzero) digits is 307200, while the sum is 40.

Adding to 100442005414645 its reverse (546414500244001), we get a palindrome (646856505658646).

The spelling of 100442005414645 in words is "one hundred trillion, four hundred forty-two billion, five million, four hundred fourteen thousand, six hundred forty-five".

Divisors: 1 5 17 31 85 155 353 527 1765 2635 6001 8627 10943 12517 30005 43135 54715 62585 146659 186031 212789 267437 388027 733295 930155 1063945 1337185 1940135 3045331 4418501 4546429 6596459 15226655 22092505 22732145 32982295 51770627 75114517 94405261 107984159 136973531 258853135 375572585 472026305 539920795 684867655 1604889437 1835730703 2328550027 3347508929 8024447185 9178653515 11642750135 16737544645 38118408127 56907651793 190592040635 284538258965 648012938159 1181670651937 3240064690795 5908353259685 20088401082929 100442005414645