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110100120021 = 3419413534943
BaseRepresentation
bin110011010001001111…
…0101000000111010101
3101112012001210121020000
41212202132220013111
53300441112320041
6122325043401513
710645245402363
oct1464236500725
9345161717200
10110100120021
1142769713831
1219408383299
13a4c8183218
145486606633
152ce5cc2bb6
hex19a27a81d5

110100120021 has 80 divisors (see below), whose sum is σ = 177887888640. Its totient is φ = 67635025920.

The previous prime is 110100120019. The next prime is 110100120023. The reversal of 110100120021 is 120021001011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110100120019) and next prime (110100120023).

It is not a de Polignac number, because 110100120021 - 21 = 110100120019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110100119985 and 110100120012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100120023) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22271476 + ... + 22276418.

It is an arithmetic number, because the mean of its divisors is an integer number (2223598608).

Almost surely, 2110100120021 is an apocalyptic number.

It is an amenable number.

110100120021 is a deficient number, since it is larger than the sum of its proper divisors (67787768619).

110100120021 is a wasteful number, since it uses less digits than its factorization.

110100120021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5368 (or 5359 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110100120021 its reverse (120021001011), we get a palindrome (230121121032).

The spelling of 110100120021 in words is "one hundred ten billion, one hundred million, one hundred twenty thousand, twenty-one".

Divisors: 1 3 9 19 27 41 57 81 123 171 353 369 513 779 1059 1107 1539 2337 3177 3321 4943 6707 7011 9531 14473 14829 20121 21033 28593 43419 44487 60363 63099 93917 130257 133461 181089 202663 274987 281751 390771 400383 543267 607989 824961 845253 1172313 1744879 1823967 2474883 2535759 3850597 5234637 5471901 7424649 7607277 11551791 15703911 16415703 22273947 33152701 34655373 47111733 71540039 99458103 103966119 141335199 214620117 298374309 311898357 643860351 895122927 1359260741 1931581053 2685368781 4077782223 5794743159 12233346669 36700040007 110100120021