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110122001106 = 231324114531823
BaseRepresentation
bin110011010001111001…
…0000110001011010010
3101112020120222021102120
41212203302012023102
53301012213013411
6122331144355110
710645632364545
oct1464362061322
9345216867376
10110122001106
114277aaa9377
1219413775a96
13a4cc874900
1454894a085c
152ce7b96106
hex19a3c862d2

110122001106 has 96 divisors (see below), whose sum is σ = 244608118272. Its totient is φ = 33016389120.

The previous prime is 110122001089. The next prime is 110122001113. The reversal of 110122001106 is 601100221011.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60406111 + ... + 60407933.

It is an arithmetic number, because the mean of its divisors is an integer number (2548001232).

Almost surely, 2110122001106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110122001106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122304059136).

110122001106 is an abundant number, since it is smaller than the sum of its proper divisors (134486117166).

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

110122001106 is a wasteful number, since it uses less digits than its factorization.

110122001106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 110122001106 its reverse (601100221011), we get a palindrome (711222222117).

The spelling of 110122001106 in words is "one hundred ten billion, one hundred twenty-two million, one thousand, one hundred six".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 169 246 338 507 533 1014 1066 1453 1599 1823 2906 3198 3646 4359 5469 6929 8718 10938 13858 18889 20787 23699 37778 41574 47398 56667 59573 71097 74743 113334 119146 142194 149486 178719 224229 245557 308087 357438 448458 491114 616174 736671 774449 924261 971659 1473342 1548898 1848522 1943318 2323347 2648819 2914977 4646694 5297638 5829954 7946457 10067837 12631567 15892914 20135674 25263134 30203511 34434647 37894701 60407022 68869294 75789402 103303941 108601579 206607882 217203158 325804737 447650411 651609474 895300822 1342951233 1411820527 2685902466 2823641054 4235461581 8470923162 18353666851 36707333702 55061000553 110122001106