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110122121221 = 7331107151641
BaseRepresentation
bin110011010001111001…
…0100011100000000101
3101112020121012101012021
41212203302203200011
53301012230334341
6122331151123141
710645633405000
oct1464362434005
9345217171167
10110122121221
1142780080642
12194138134b1
13a4cc8b7498
1454894d2537
152ce7bbb9d1
hex19a3ca3805

110122121221 has 64 divisors (see below), whose sum is σ = 134900121600. Its totient is φ = 89752320000.

The previous prime is 110122121203. The next prime is 110122121231. The reversal of 110122121221 is 122121221011.

It is not a de Polignac number, because 110122121221 - 25 = 110122121189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110122121195 and 110122121204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110122121231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171797061 + ... + 171797701.

It is an arithmetic number, because the mean of its divisors is an integer number (2107814400).

Almost surely, 2110122121221 is an apocalyptic number.

It is an amenable number.

110122121221 is a deficient number, since it is larger than the sum of its proper divisors (24778000379).

110122121221 is a wasteful number, since it uses less digits than its factorization.

110122121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 110122121221 its reverse (122121221011), we get a palindrome (232243342232).

The spelling of 110122121221 in words is "one hundred ten billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 7 31 49 107 151 217 343 641 749 1057 1519 3317 4487 4681 5243 7399 10633 16157 19871 23219 31409 32767 36701 51793 68587 96791 113099 139097 162533 219863 229369 480109 500867 677537 791693 973679 1137731 1605583 2126197 3000521 3360763 3506069 4742759 5541851 6815753 10356637 14883379 21003647 23525341 24542483 33199313 72496459 104183653 147025529 171797381 321055747 507475213 729285571 1029178703 2247390229 3552326491 15731731603 110122121221