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110120020101 = 367213237137
BaseRepresentation
bin110011010001110101…
…0100010100010000101
3101112020110020122000000
41212203222202202011
53301011211120401
6122331034111513
710645606504200
oct1464352424205
9345213218000
10110120020101
1142779975a83
1219412b7b599
13a4cc330010
145489106937
152ce7904186
hex19a3aa2885

110120020101 has 84 divisors (see below), whose sum is σ = 206835083532. Its totient is φ = 58085040384.

The previous prime is 110120020069. The next prime is 110120020159. The reversal of 110120020101 is 101020021011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 59535512001 + 50584508100 = 243999^2 + 224910^2 .

It is not a de Polignac number, because 110120020101 - 25 = 110120020069 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110120040101) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 345805 + ... + 582941.

It is an arithmetic number, because the mean of its divisors is an integer number (2462322423).

Almost surely, 2110120020101 is an apocalyptic number.

It is an amenable number.

110120020101 is a deficient number, since it is larger than the sum of its proper divisors (96715063431).

110120020101 is an equidigital number, since it uses as much as digits as its factorization.

110120020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237182 (or 237160 counting only the distinct ones).

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

Adding to 110120020101 its reverse (101020021011), we get a palindrome (211140041112).

The spelling of 110120020101 in words is "one hundred ten billion, one hundred twenty million, twenty thousand, one hundred one".

Divisors: 1 3 7 9 13 21 27 39 49 63 81 91 117 147 189 243 273 351 441 567 637 729 819 1053 1323 1701 1911 2457 3159 3969 5103 5733 7371 9477 11907 17199 22113 35721 51597 66339 154791 237137 464373 711411 1659959 2134233 3082781 4979877 6402699 9248343 11619713 14939631 19208097 21579467 27745029 34859139 44818893 57624291 64738401 83235087 104577417 134456679 151056269 172872873 194215203 249705261 313732251 403370037 453168807 582645609 749115783 941196753 1210110111 1359506421 1747936827 2247347349 2823590259 4078519263 5243810481 8470770777 12235557789 15731431443 36706673367 110120020101