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1023879681 = 321110342219
BaseRepresentation
bin111101000001110…
…010101000000001
32122100121110212200
4331001302220001
54044103122211
6245333143413
734241555646
oct7501625001
92570543780
101023879681
11485a53a60
12246a8ab69
1313417b486
1499da5dcd
155ed4bb56
hex3d072a01

1023879681 has 12 divisors (see below), whose sum is σ = 1613386320. Its totient is φ = 620533080.

The previous prime is 1023879673. The next prime is 1023879697. The reversal of 1023879681 is 1869783201.

1023879681 is a `hidden beast` number, since 102 + 387 + 96 + 81 = 666.

It is not a de Polignac number, because 1023879681 - 23 = 1023879673 is a prime.

It is a super-3 number, since 3×10238796813 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1023879601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5171011 + ... + 5171208.

It is an arithmetic number, because the mean of its divisors is an integer number (134448860).

Almost surely, 21023879681 is an apocalyptic number.

1023879681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1023879681 is a deficient number, since it is larger than the sum of its proper divisors (589506639).

1023879681 is a wasteful number, since it uses less digits than its factorization.

1023879681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10342236 (or 10342233 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1023879681 is about 31998.1199603977. The cubic root of 1023879681 is about 1007.8973611715.

It can be divided in two parts, 102 and 3879681, that added together give a palindrome (3879783).

The spelling of 1023879681 in words is "one billion, twenty-three million, eight hundred seventy-nine thousand, six hundred eighty-one".

Divisors: 1 3 9 11 33 99 10342219 31026657 93079971 113764409 341293227 1023879681