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11020513455 = 335737615167
BaseRepresentation
bin10100100001101111…
…11011000010101111
31001110001001002102000
422100313323002233
5140032222412310
65021315503343
7540045550560
oct122067730257
931401032360
1011020513455
114745879966
1221768b7b53
13106825a6a3
147678d0167
154477924c0
hex290dfb0af

11020513455 has 128 divisors (see below), whose sum is σ = 23377551360. Its totient is φ = 4820497920.

The previous prime is 11020513433. The next prime is 11020513481. The reversal of 11020513455 is 55431502011.

11020513455 is a `hidden beast` number, since 1 + 1 + 0 + 205 + 1 + 3 + 455 = 666.

It is not a de Polignac number, because 11020513455 - 211 = 11020511407 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2130282 + ... + 2135448.

It is an arithmetic number, because the mean of its divisors is an integer number (182637120).

Almost surely, 211020513455 is an apocalyptic number.

11020513455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11020513455 is an abundant number, since it is smaller than the sum of its proper divisors (12357037905).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11020513455 is a wasteful number, since it uses less digits than its factorization.

11020513455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5286 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 11020513455 in words is "eleven billion, twenty million, five hundred thirteen thousand, four hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 37 45 61 63 105 111 135 183 185 189 259 305 315 333 427 549 555 777 915 945 999 1281 1295 1647 1665 2135 2257 2331 2745 3843 3885 4995 5167 6405 6771 6993 8235 11285 11529 11655 15501 15799 19215 20313 25835 33855 34965 36169 46503 47397 57645 60939 77505 78995 101565 108507 139509 142191 180845 191179 232515 236985 304695 315187 325521 426573 542535 573537 697545 710955 945561 955895 976563 1338253 1575935 1627605 1720611 2132865 2206309 2836683 2867685 4014759 4727805 4882815 5161833 6618927 6691265 8510049 8603055 11031545 11661919 12044277 14183415 19856781 20073795 25809165 33094635 34985757 36132831 42550245 58309595 59570343 60221385 81633433 99283905 104957271 174928785 180664155 244900299 297851715 314871813 408167165 524786355 734700897 1224501495 1574359065 2204102691 3673504485 11020513455