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1054642303 = 1113241101137
BaseRepresentation
bin111110110111001…
…001000001111111
32201111111101021001
4332313021001333
54124442023203
6252352351131
735064211621
oct7667110177
92644441231
101054642303
114a1355410
122552454a7
1313a65c600
14a00d2c11
15628c691d
hex3edc907f

1054642303 has 48 divisors (see below), whose sum is σ = 1298257632. Its totient is φ = 848640000.

The previous prime is 1054642279. The next prime is 1054642313. The reversal of 1054642303 is 3032464501.

It is not a de Polignac number, because 1054642303 - 25 = 1054642271 is a prime.

It is a super-2 number, since 2×10546423032 = 2224540774554287618, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054642313) 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, 7698051 + ... + 7698187.

It is an arithmetic number, because the mean of its divisors is an integer number (27047034).

Almost surely, 21054642303 is an apocalyptic number.

1054642303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1054642303 is a deficient number, since it is larger than the sum of its proper divisors (243615329).

1054642303 is a wasteful number, since it uses less digits than its factorization.

1054642303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 1054642303 is about 32475.2567811249. The cubic root of 1054642303 is about 1017.8920657448.

The spelling of 1054642303 in words is "one billion, fifty-four million, six hundred forty-two thousand, three hundred three".

Divisors: 1 11 13 41 101 137 143 169 451 533 1111 1313 1507 1781 1859 4141 5617 5863 6929 13837 14443 17069 19591 23153 45551 53833 61787 73021 76219 152207 179881 187759 254683 567317 592163 699829 803231 949273 1978691 2338453 6240487 7375121 7698119 10442003 25722983 81126331 95876573 1054642303