Search a number
-
+
1100310303213 = 321167193385817
BaseRepresentation
bin10000000000101111100…
…110101101000111101101
310220012002111221210201100
4100000233212231013231
5121011413414200323
62201250420233313
7142331500155432
oct20005746550755
93805074853640
101100310303213
11394703532430
121592b783b839
137c9b3172944
143b38079db89
151d94cd47943
hex1002f9ad1ed

1100310303213 has 48 divisors (see below), whose sum is σ = 1760631103296. Its totient is φ = 656554187520.

The previous prime is 1100310303163. The next prime is 1100310303221. The reversal of 1100310303213 is 3123030130011.

It is a happy number.

1100310303213 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 310 + 30 + 321 + 3 = 666.

It is not a de Polignac number, because 1100310303213 - 221 = 1100308206061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100310303283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12778681 + ... + 12864497.

It is an arithmetic number, because the mean of its divisors is an integer number (36679814652).

Almost surely, 21100310303213 is an apocalyptic number.

It is an amenable number.

1100310303213 is a deficient number, since it is larger than the sum of its proper divisors (660320800083).

1100310303213 is a wasteful number, since it uses less digits than its factorization.

1100310303213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87834 (or 87831 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1100310303213 its reverse (3123030130011), we get a palindrome (4223340433224).

The spelling of 1100310303213 in words is "one trillion, one hundred billion, three hundred ten million, three hundred three thousand, two hundred thirteen".

Divisors: 1 3 9 11 33 67 99 201 603 737 1933 2211 5799 6633 17397 21263 63789 85817 129511 191367 257451 388533 772353 943987 1165599 1424621 2831961 4273863 5749739 8495883 12821589 17249217 51747651 63247129 165884261 189741387 497652783 569224161 1492958349 1824726871 5474180613 11114245487 16422541839 33342736461 100028209383 122256700357 366770101071 1100310303213