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1141201305 = 34559163293
BaseRepresentation
bin100010000000101…
…0101100110011001
32221112101000220000
41010001111212121
54314121420210
6305123523213
740165023336
oct10401254631
92845330800
101141201305
115361a6482
1227a229509
1315257825a
14ab7c598d
156a2c3ac0
hex44055999

1141201305 has 80 divisors (see below), whose sum is σ = 2100288960. Its totient is φ = 592624512.

The previous prime is 1141201291. The next prime is 1141201319. The reversal of 1141201305 is 5031021411.

It is an interprime number because it is at equal distance from previous prime (1141201291) and next prime (1141201319).

It is not a de Polignac number, because 1141201305 - 28 = 1141201049 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3894739 + ... + 3895031.

It is an arithmetic number, because the mean of its divisors is an integer number (26253612).

Almost surely, 21141201305 is an apocalyptic number.

1141201305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1141201305 is a deficient number, since it is larger than the sum of its proper divisors (959087655).

1141201305 is a wasteful number, since it uses less digits than its factorization.

1141201305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1141201305 is about 33781.6711398356. The cubic root of 1141201305 is about 1045.0107383495.

Adding to 1141201305 its reverse (5031021411), we get a palindrome (6172222716).

The spelling of 1141201305 in words is "one billion, one hundred forty-one million, two hundred one thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 59 81 135 163 177 293 295 405 489 531 815 879 885 1465 1467 1593 2445 2637 2655 4395 4401 4779 7335 7911 7965 9617 13185 13203 17287 22005 23733 23895 28851 39555 47759 48085 51861 66015 86435 86553 118665 143277 144255 155583 238795 259305 259659 429831 432765 466749 716385 777915 778977 1289493 1298295 1400247 2149155 2333745 2817781 3868479 3894885 6447465 7001235 8453343 14088905 19342395 25360029 42266715 76080087 126800145 228240261 380400435 1141201305