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120893988071 = 1737283679153
BaseRepresentation
bin111000010010111010…
…1111101110011100111
3102120001022100220120202
41300211311331303213
53440042330104241
6131312105421115
711506602641423
oct1604565756347
9376038326522
10120893988071
11472a856063a
121b51b19a79b
13b5284874ac
145bcbd79b83
1532286e5d9b
hex1c25d7dce7

120893988071 has 16 divisors (see below), whose sum is σ = 131929739424. Its totient is φ = 110316017664.

The previous prime is 120893988049. The next prime is 120893988133. The reversal of 120893988071 is 170889398021.

It is a cyclic number.

It is not a de Polignac number, because 120893988071 - 210 = 120893987047 is a prime.

It is a super-2 number, since 2×1208939880712 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120893987998 and 120893988016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120893988001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161570 + ... + 517583.

It is an arithmetic number, because the mean of its divisors is an integer number (8245608714).

Almost surely, 2120893988071 is an apocalyptic number.

120893988071 is a deficient number, since it is larger than the sum of its proper divisors (11035751353).

120893988071 is a wasteful number, since it uses less digits than its factorization.

120893988071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679490.

The product of its (nonzero) digits is 1741824, while the sum is 56.

The spelling of 120893988071 in words is "one hundred twenty billion, eight hundred ninety-three million, nine hundred eighty-eight thousand, seventy-one".

Divisors: 1 17 37 283 629 4811 10471 178007 679153 11545601 25128661 192200299 427187237 3267405083 7111411063 120893988071