Search a number
-
+
105515550322 = 27213594313257
BaseRepresentation
bin110001001000100110…
…1111000011001110010
3101002100120010022220021
41202101031320121302
53212043440102242
6120250112234054
710423526244100
oct1422115703162
9332316108807
10105515550322
1140826860756
1218548b3b92a
139c474093a0
14516d7a4c70
152b2857bb67
hex1891378672

105515550322 has 96 divisors (see below), whose sum is σ = 202166979840. Its totient is φ = 40927138560.

The previous prime is 105515550313. The next prime is 105515550331. The reversal of 105515550322 is 223055515501.

It is an interprime number because it is at equal distance from previous prime (105515550313) and next prime (105515550331).

It is a super-2 number, since 2×1055155503222 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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, 32394918 + ... + 32398174.

It is an arithmetic number, because the mean of its divisors is an integer number (2105906040).

Almost surely, 2105515550322 is an apocalyptic number.

105515550322 is a deficient number, since it is larger than the sum of its proper divisors (96651429518).

105515550322 is a wasteful number, since it uses less digits than its factorization.

105515550322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 34.

The spelling of 105515550322 in words is "one hundred five billion, five hundred fifteen million, five hundred fifty thousand, three hundred twenty-two".

Divisors: 1 2 7 13 14 26 49 59 91 98 118 182 413 431 637 767 826 862 1274 1534 2891 3017 3257 5369 5603 5782 6034 6514 10738 11206 21119 22799 25429 37583 39221 42238 42341 45598 50858 75166 78442 84682 159593 178003 192163 274547 296387 319186 330577 356006 384326 549094 592774 661154 1246021 1345141 1403767 2074709 2314039 2492042 2498119 2690282 2807534 4149418 4628078 4996238 9415987 9826369 16198273 17486833 18248971 18831974 19652738 32396546 34973666 36497942 68784583 82822253 122407831 127742797 137569166 165644506 244815662 255485594 579755771 894199579 1076689289 1159511542 1788399158 2153378578 4058290397 7536825023 8116580794 15073650046 52757775161 105515550322