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1201010985 = 3251710911439
BaseRepresentation
bin100011110010101…
…1111100100101001
310002200220200100100
41013211133210221
54424424322420
6315101500013
741522265516
oct10745374451
93080820310
101201010985
11566a37369
12296271609
13161a896b5
14b571430d
157068a190
hex4795f929

1201010985 has 48 divisors (see below), whose sum is σ = 2207761920. Its totient is φ = 601889280.

The previous prime is 1201010983. The next prime is 1201010999. The reversal of 1201010985 is 5890101021.

It is not a de Polignac number, because 1201010985 - 21 = 1201010983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1201010983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 833896 + ... + 835334.

It is an arithmetic number, because the mean of its divisors is an integer number (45995040).

Almost surely, 21201010985 is an apocalyptic number.

1201010985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1201010985 is a deficient number, since it is larger than the sum of its proper divisors (1006750935).

1201010985 is a wasteful number, since it uses less digits than its factorization.

1201010985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 1201010985 is about 34655.6053907589. The cubic root of 1201010985 is about 1062.9569109357.

The spelling of 1201010985 in words is "one billion, two hundred one million, ten thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 1091 1439 3273 4317 5455 7195 9819 12951 16365 18547 21585 24463 49095 55641 64755 73389 92735 122315 166923 220167 278205 366945 834615 1100835 1569949 4709847 7849745 14129541 23549235 26689133 70647705 80067399 133445665 240202197 400336995 1201010985