Search a number
-
+
1055133441 = 3217192343367
BaseRepresentation
bin111110111001000…
…000111100000001
32201112102022222100
4332321000330001
54130103232231
6252411101013
735101325535
oct7671007401
92645368870
101055133441
114a166040a
12255441769
1313a7a201b
14a01bdbc5
15629721e6
hex3ee40f01

1055133441 has 96 divisors (see below), whose sum is σ = 1818685440. Its totient is φ = 584381952.

The previous prime is 1055133439. The next prime is 1055133449. The reversal of 1055133441 is 1443315501.

It is a happy number.

1055133441 is a `hidden beast` number, since 105 + 513 + 3 + 4 + 41 = 666.

It is not a de Polignac number, because 1055133441 - 21 = 1055133439 is a prime.

It is a super-2 number, since 2×10551334412 = 2226613156633000962, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1055133449) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2874840 + ... + 2875206.

It is an arithmetic number, because the mean of its divisors is an integer number (18944640).

Almost surely, 21055133441 is an apocalyptic number.

It is an amenable number.

1055133441 is a deficient number, since it is larger than the sum of its proper divisors (763551999).

1055133441 is a wasteful number, since it uses less digits than its factorization.

With its successor (1055133442) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (475).

1055133441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1055133441 is about 32482.8176271702. The cubic root of 1055133441 is about 1018.0500491320.

Adding to 1055133441 its reverse (1443315501), we get a palindrome (2498448942).

The spelling of 1055133441 in words is "one billion, fifty-five million, one hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 3 9 17 19 23 43 51 57 69 129 153 171 207 323 367 387 391 437 731 817 969 989 1101 1173 1311 2193 2451 2907 2967 3303 3519 3933 6239 6579 6973 7353 7429 8441 8901 13889 15781 16813 18717 18791 20919 22287 25323 41667 47343 50439 56151 56373 62757 66861 75969 118541 125001 142029 143497 151317 160379 169119 268277 299839 319447 355623 362963 430491 481137 804831 899517 958341 1066869 1088889 1291473 1443411 2414493 2698551 2726443 2875023 3266667 5097263 6170371 6896297 8179329 15291789 18511113 20688891 24537987 45875367 55533339 62066673 117237049 351711147 1055133441