Search a number
-
+
1053101049 = 3711131918457
BaseRepresentation
bin111110110001010…
…000101111111001
32201101121002001120
4332301100233321
54124043213144
6252255335453
735045132310
oct7661205771
92641532046
101053101049
114a04a2450
12254821589
1313a23cc20
149dc11277
15626bee19
hex3ec50bf9

1053101049 has 64 divisors (see below), whose sum is σ = 1984604160. Its totient is φ = 478379520.

The previous prime is 1053100957. The next prime is 1053101059. The reversal of 1053101049 is 9401013501.

It is not a de Polignac number, because 1053101049 - 29 = 1053100537 is a prime.

It is a super-2 number, since 2×10531010492 = 2218043638809800802, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053101059) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47829 + ... + 66285.

It is an arithmetic number, because the mean of its divisors is an integer number (31009440).

Almost surely, 21053101049 is an apocalyptic number.

1053101049 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1053101049 is a deficient number, since it is larger than the sum of its proper divisors (931503111).

1053101049 is a wasteful number, since it uses less digits than its factorization.

1053101049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18510.

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 1053101049 is about 32451.5184390500. The cubic root of 1053101049 is about 1017.3959749331.

The spelling of 1053101049 in words is "one billion, fifty-three million, one hundred one thousand, forty-nine".

Divisors: 1 3 7 11 13 19 21 33 39 57 77 91 133 143 209 231 247 273 399 429 627 741 1001 1463 1729 2717 3003 4389 5187 8151 18457 19019 55371 57057 129199 203027 239941 350683 387597 609081 719823 1052049 1421189 1679587 2454781 2639351 3857513 4263567 4558879 5038761 7364343 7918053 11572539 13676637 18475457 27002591 31912153 50147669 55426371 81007773 95736459 150443007 351033683 1053101049