Search a number
-
+
1103227801065 = 3251327714814597
BaseRepresentation
bin10000000011011101100…
…000000100110111101001
310220110121211202001101100
4100003131200010313221
5121033402304113230
62202452120312013
7142464004404165
oct20033540046751
93813554661340
101103227801065
11395970372785
12159990912609
138005972bc30
143b57a04bca5
151da6e041660
hex100dd804de9

1103227801065 has 96 divisors (see below), whose sum is σ = 2068638507936. Its totient is φ = 540683735040.

The previous prime is 1103227801063. The next prime is 1103227801069. The reversal of 1103227801065 is 5601087223011.

It can be written as a sum of positive squares in 16 ways, for example, as 902712812544 + 200514988521 = 950112^2 + 447789^2 .

It is not a de Polignac number, because 1103227801065 - 21 = 1103227801063 is a prime.

It is a super-2 number, since 2×11032278010652 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1103227801063) 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 95 ways as a sum of consecutive naturals, for example, 239986347 + ... + 239990943.

It is an arithmetic number, because the mean of its divisors is an integer number (21548317791).

Almost surely, 21103227801065 is an apocalyptic number.

1103227801065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1103227801065 is a deficient number, since it is larger than the sum of its proper divisors (965410706871).

1103227801065 is a wasteful number, since it uses less digits than its factorization.

1103227801065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6379 (or 6376 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1103227801065 in words is "one trillion, one hundred three billion, two hundred twenty-seven million, eight hundred one thousand, sixty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 277 585 831 1385 1481 2493 3601 4155 4443 4597 7405 10803 12465 13329 13791 18005 19253 22215 22985 32409 41373 54015 57759 59761 66645 68955 96265 162045 173277 179283 206865 288795 298805 410237 537849 866385 896415 1230711 1273369 2051185 2689245 3692133 3820107 5333081 6153555 6366845 6808157 11460321 15999243 16553797 18460665 19100535 20424471 26665405 34040785 47997729 49661391 57301605 61273413 79996215 82768985 88506041 102122355 148984173 239988645 248306955 265518123 306367065 442530205 744920865 796554369 1327590615 1885859489 3982771845 5657578467 9429297445 16972735401 24516173357 28287892335 73548520071 84863677005 122580866785 220645560213 367742600355 1103227801065