Search a number
-
+
1100033000310 = 235371049944729
BaseRepresentation
bin10000000000011111000…
…100111000001101110110
310220011101012011100122110
4100000133010320031312
5121010331422002220
62201203112511450
7142321562140236
oct20003704701566
93804335140573
101100033000310
11394580a50682
1215923a9ab586
137c96a890a9a
143b355a17cc6
151d93381dbe0
hex1001f138376

1100033000310 has 64 divisors (see below), whose sum is σ = 2714020344000. Its totient is φ = 285141583872.

The previous prime is 1100033000201. The next prime is 1100033000321. The reversal of 1100033000310 is 130003300011.

It is a super-2 number, since 2×11000330003102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 692026 + ... + 1636754.

It is an arithmetic number, because the mean of its divisors is an integer number (42406567875).

Almost surely, 21100033000310 is an apocalyptic number.

1100033000310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100033000310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357010172000).

1100033000310 is an abundant number, since it is smaller than the sum of its proper divisors (1613987343690).

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

1100033000310 is a wasteful number, since it uses less digits than its factorization.

1100033000310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945825.

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 1100033000310 its reverse (130003300011), we get a palindrome (1230036300321).

The spelling of 1100033000310 in words is "one trillion, one hundred billion, thirty-three million, three hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1049 1110 2098 3147 5245 6294 10490 15735 31470 38813 77626 116439 194065 232878 388130 582195 944729 1164390 1889458 2834187 4723645 5668374 9447290 14170935 28341870 34954973 69909946 104864919 174774865 209729838 349549730 524324595 991020721 1048649190 1982041442 2973062163 4955103605 5946124326 9910207210 14865310815 29730621630 36667766677 73335533354 110003300031 183338833385 220006600062 366677666770 550016500155 1100033000310