Search a number
-
+
11455113015 = 33519389139
BaseRepresentation
bin10101010101100011…
…10010011100110111
31002120022211000221000
422222301302130313
5141430002104030
65132402454343
7553603565643
oct125261623467
932508730830
1011455113015
114949126a55
1222783643b3
1311072c46a8
147a94ddc23
154709dc860
hex2aac72737

11455113015 has 128 divisors (see below), whose sum is σ = 21893760000. Its totient is φ = 5681643264.

The previous prime is 11455113001. The next prime is 11455113029. The reversal of 11455113015 is 51031155411.

11455113015 is a `hidden beast` number, since 1 + 145 + 511 + 3 + 0 + 1 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (11455113001) and next prime (11455113029).

It is not a de Polignac number, because 11455113015 - 25 = 11455112983 is a prime.

It is a super-2 number, since 2×114551130152 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11455113015.

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, 82410816 + ... + 82410954.

It is an arithmetic number, because the mean of its divisors is an integer number (171045000).

Almost surely, 211455113015 is an apocalyptic number.

11455113015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11455113015 is a deficient number, since it is larger than the sum of its proper divisors (10438646985).

11455113015 is an equidigital number, since it uses as much as digits as its factorization.

11455113015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

Adding to 11455113015 its reverse (51031155411), we get a palindrome (62486268426).

The spelling of 11455113015 in words is "eleven billion, four hundred fifty-five million, one hundred thirteen thousand, fifteen".

Divisors: 1 3 5 9 15 19 27 45 57 89 95 135 139 171 267 285 361 417 445 513 695 801 855 1083 1251 1335 1691 1805 2085 2403 2565 2641 3249 3753 4005 5073 5415 6255 6859 7923 8455 9747 12015 12371 13205 15219 16245 18765 20577 23769 25365 32129 34295 37113 39615 45657 48735 50179 61731 61855 71307 76095 96387 102885 111339 118845 150537 160645 185193 185565 228285 235049 250895 289161 308655 334017 356535 451611 481935 556695 610451 705147 752685 867483 925965 953401 1175245 1354833 1445805 1670085 1831353 2115441 2258055 2860203 3052255 3525735 4337415 4465931 4767005 5494059 6346323 6774165 8580609 9156765 10577205 13397793 14301015 16482177 22329655 25741827 27470295 31731615 40193379 42903045 66988965 82410885 84852689 120580137 128709135 200966895 254558067 424263445 602900685 763674201 1272790335 2291022603 3818371005 11455113015