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110001102221021 = 11312513675416473
BaseRepresentation
bin11001000000101110100000…
…100111110110111011011101
3112102111000001221120102002212
4121000232200213312323131
5103404224224132033041
61025541450404130205
732112213600323114
oct3100564047667335
9472430057512085
10110001102221021
1132060229532160
1210406b4a696965
13494c0a074c04b
141d2412049ac7b
15cab5ab3868eb
hex640ba09f6edd

110001102221021 has 64 divisors (see below), whose sum is σ = 124954403438592. Its totient is φ = 95934456000000.

The previous prime is 110001102221009. The next prime is 110001102221077. The reversal of 110001102221021 is 120122201100011.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-110001102221021 is a prime.

It is a super-2 number, since 2×1100011022210212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110001102220987 and 110001102221005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001102221081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16993833041 + ... + 16993839513.

It is an arithmetic number, because the mean of its divisors is an integer number (1952412553728).

Almost surely, 2110001102221021 is an apocalyptic number.

110001102221021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110001102221021 is a deficient number, since it is larger than the sum of its proper divisors (14953301217571).

110001102221021 is a wasteful number, since it uses less digits than its factorization.

110001102221021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7674.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110001102221021 its reverse (120122201100011), we get a palindrome (230123303321032).

The spelling of 110001102221021 in words is "one hundred ten trillion, one billion, one hundred two million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 11 31 251 341 367 541 2761 4037 5951 6473 7781 11377 16771 71203 85591 92117 125147 135791 184481 198547 200663 1013287 1493701 1624723 2184017 2207293 2375591 2855627 3501893 4209521 6154957 17871953 26131501 31411897 38520823 46304731 49835297 50366413 67704527 73643321 108558683 548188267 554030543 596273341 810076531 878975143 1194145513 1285194731 1544894207 6559006751 9668726573 14137142041 16993836277 18484473571 27248229433 39841036661 203329209281 299730523763 322583877481 438251403271 3548422652291 10000100201911 110001102221021