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1023160142953 = 13149528218969
BaseRepresentation
bin11101110001110010001…
…10001100110001101001
310121210221210022120220101
432320321012030301221
5113230412444033303
62102011104425401
7133630601501464
oct16707106146151
93553853276811
101023160142953
11364a13255103
12146366318261
1375639598540
14377423002db
151b934b5ad1d
hexee3918cc69

1023160142953 has 8 divisors (see below), whose sum is σ = 1109259837000. Its totient is φ = 938116887168.

The previous prime is 1023160142933. The next prime is 1023160142957. The reversal of 1023160142953 is 3592410613201.

1023160142953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 62283664 + 1023097859289 = 7892^2 + 1011483^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1023160142953 is a prime.

It is a super-3 number, since 3×10231601429533 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1023160142957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264107548 + ... + 264111421.

It is an arithmetic number, because the mean of its divisors is an integer number (138657479625).

Almost surely, 21023160142953 is an apocalyptic number.

1023160142953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1023160142953 is a deficient number, since it is larger than the sum of its proper divisors (86099694047).

1023160142953 is a wasteful number, since it uses less digits than its factorization.

1023160142953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528219131.

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 1023160142953 in words is "one trillion, twenty-three billion, one hundred sixty million, one hundred forty-two thousand, nine hundred fifty-three".

Divisors: 1 13 149 1937 528218969 6866846597 78704626381 1023160142953