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110121110120052 = 223312718671430007
BaseRepresentation
bin11001000010011110010001…
…101001101010011001110100
3112102220110211111121100001000
4121002132101221222121310
5103413211013142320202
61030112534542003300
732123662523534553
oct3102362151523164
9472813744540030
10110121110120052
11320a71118a19a9
1210426260b76530
13495a4b74708a5
141d29c6689bd9a
15cae781d9c91c
hex642791a6a674

110121110120052 has 96 divisors (see below), whose sum is σ = 287763280035840. Its totient is φ = 36415969722720.

The previous prime is 110121110120027. The next prime is 110121110120053. The reversal of 110121110120052 is 250021011121011.

It is a happy number.

110121110120052 is a `hidden beast` number, since 1 + 101 + 211 + 101 + 200 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110121110120053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255876433 + ... + 256306439.

It is an arithmetic number, because the mean of its divisors is an integer number (2997534167040).

Almost surely, 2110121110120052 is an apocalyptic number.

110121110120052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110121110120052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143881640017920).

110121110120052 is an abundant number, since it is smaller than the sum of its proper divisors (177642169915788).

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

110121110120052 is a wasteful number, since it uses less digits than its factorization.

110121110120052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448818 (or 448810 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 18.

Adding to 110121110120052 its reverse (250021011121011), we get a palindrome (360142121241063).

The spelling of 110121110120052 in words is "one hundred ten trillion, one hundred twenty-one billion, one hundred ten million, one hundred twenty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 127 254 381 508 762 1143 1524 2286 3429 4572 6858 13716 18671 37342 56013 74684 112026 168039 224052 336078 430007 504117 672156 860014 1008234 1290021 1720028 2016468 2371217 2580042 3870063 4742434 5160084 7113651 7740126 9484868 11610189 14227302 15480252 21340953 23220378 28454604 42681906 46440756 54610889 64022859 85363812 109221778 128045718 163832667 218443556 256091436 327665334 491498001 655330668 982996002 1474494003 1965992004 2948988006 5897976012 8028660697 16057321394 24085982091 32114642788 48171964182 72257946273 96343928364 144515892546 216773838819 289031785092 433547677638 867095355276 1019639908519 2039279817038 3058919725557 4078559634076 6117839451114 9176759176671 12235678902228 18353518353342 27530277530013 36707036706684 55060555060026 110121110120052