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1085541051 = 37223412191
BaseRepresentation
bin100000010110100…
…0000101010111011
32210122122012101010
41000231000222323
54210344303201
6255414525003
735620642500
oct10055005273
92718565333
101085541051
1150783a071
12263666763
13143b8a6aa
14a42574a7
156547bbd6
hex40b40abb

1085541051 has 72 divisors (see below), whose sum is σ = 1810225152. Its totient is φ = 575836800.

The previous prime is 1085541029. The next prime is 1085541073. The reversal of 1085541051 is 1501455801.

It is an interprime number because it is at equal distance from previous prime (1085541029) and next prime (1085541073).

It is not a de Polignac number, because 1085541051 - 27 = 1085540923 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085541091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5683366 + ... + 5683556.

It is an arithmetic number, because the mean of its divisors is an integer number (25142016).

Almost surely, 21085541051 is an apocalyptic number.

1085541051 is a deficient number, since it is larger than the sum of its proper divisors (724684101).

1085541051 is a wasteful number, since it uses less digits than its factorization.

1085541051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 30.

The square root of 1085541051 is about 32947.5499999621. The cubic root of 1085541051 is about 1027.7372172091.

Adding to 1085541051 its reverse (1501455801), we get a palindrome (2586996852).

The spelling of 1085541051 in words is "one billion, eighty-five million, five hundred forty-one thousand, fifty-one".

Divisors: 1 3 7 21 23 41 49 69 123 147 161 191 287 483 573 861 943 1127 1337 1681 2009 2829 3381 4011 4393 5043 6027 6601 7831 9359 11767 13179 19803 23493 28077 30751 35301 38663 46207 54817 82369 92253 115989 138621 164451 180113 215257 247107 270641 321071 383719 540339 645771 811923 963213 1151157 1260791 1894487 2247497 3782373 5683461 6742491 7384633 8825537 15732479 22153899 26476611 47197437 51692431 155077293 361847017 1085541051