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110113022021331 = 3719477977279619
BaseRepresentation
bin11001000010010110101111…
…100100000000111011010011
3112102212200221211102100102010
4121002112233210000323103
5103413042432114140311
61030105120213554003
732123255223041040
oct3102265744007323
9472780854370363
10110113022021331
11320a374132169a
1210424784345903
1349597c88c3064
141d296da6201c7
15cae45bc9dda6
hex6425af900ed3

110113022021331 has 128 divisors (see below), whose sum is σ = 182706241536000. Its totient is φ = 57589812169344.

The previous prime is 110113022021287. The next prime is 110113022021377. The reversal of 110113022021331 is 133120220311011.

It is not a de Polignac number, because 110113022021331 - 27 = 110113022021203 is a prime.

It is a super-2 number, since 2×1101130220213312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 110113022021298 and 110113022021307.

It is not an unprimeable number, because it can be changed into a prime (110113022021231) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11447445240 + ... + 11447454858.

It is an arithmetic number, because the mean of its divisors is an integer number (1427392512000).

Almost surely, 2110113022021331 is an apocalyptic number.

110113022021331 is a deficient number, since it is larger than the sum of its proper divisors (72593219514669).

110113022021331 is a wasteful number, since it uses less digits than its factorization.

110113022021331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17501.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 110113022021331 its reverse (133120220311011), we get a palindrome (243233242332342).

The spelling of 110113022021331 in words is "one hundred ten trillion, one hundred thirteen billion, twenty-two million, twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 19 21 47 57 79 133 141 237 329 399 553 893 987 1501 1659 2679 3713 4503 6251 7727 9619 10507 11139 18753 23181 25991 28857 31521 54089 67333 70547 77973 146813 162267 182761 201999 211641 363169 440439 452093 493829 548283 610433 759901 1027691 1089507 1279327 1356279 1481487 1831299 2279703 2542183 3083073 3164651 3837981 4273031 5319307 6900211 7626549 8589767 9493953 11598227 12819093 14438119 15957921 20700633 25769301 28690351 34794681 35715347 43314357 48301477 60128369 74326013 81187589 86071053 101066833 107146041 144904431 180385107 200832457 222978039 243562767 250007429 303200499 520282091 545116669 602497371 678591593 750022287 1412194247 1560846273 1635350007 2035774779 3493322611 3815816683 4236582741 4750141151 5871755027 9885359729 10479967833 11447450049 14250423453 17615265081 24453258277 29656079187 41102285189 66373129609 73359774831 111563345513 123306855567 199119388827 275972486269 334690036539 464611907263 780943418591 827917458807 1393835721789 1931807403883 2342830255773 5243477239111 5795422211649 15730431717333 36704340673777 110113022021331