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221021020110 = 235112335382493
BaseRepresentation
bin1100110111010111100…
…0010001111111001110
3210010111100001011000210
43031311320101333032
512110122340120420
6245311411303250
721653051446632
oct3156570217716
9703440034023
10221021020110
11858096707a0
1236a035aab26
1317ac43b3807
14a9a9c26dc2
155b38b749e0
hex3375e11fce

221021020110 has 128 divisors (see below), whose sum is σ = 605550836736. Its totient is φ = 51105443840.

The previous prime is 221021020081. The next prime is 221021020117. The reversal of 221021020110 is 11020120122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221021020117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2638024 + ... + 2720516.

It is an arithmetic number, because the mean of its divisors is an integer number (4730865912).

Almost surely, 2221021020110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221021020110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302775418368).

221021020110 is an abundant number, since it is smaller than the sum of its proper divisors (384529816626).

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

221021020110 is a wasteful number, since it uses less digits than its factorization.

221021020110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82890.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221021020110 its reverse (11020120122), we get a palindrome (232041140232).

The spelling of 221021020110 in words is "two hundred twenty-one billion, twenty-one million, twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 353 506 690 706 759 1059 1265 1518 1765 2118 2530 3530 3795 3883 5295 7590 7766 8119 10590 11649 16238 19415 23298 24357 38830 40595 48714 58245 81190 82493 89309 116490 121785 164986 178618 243570 247479 267927 412465 446545 494958 535854 824930 893090 907423 1237395 1339635 1814846 1897339 2474790 2679270 2722269 3794678 4537115 5444538 5692017 9074230 9486695 11384034 13611345 18973390 20870729 27222690 28460085 29120029 41741458 56920170 58240058 62612187 87360087 104353645 125224374 145600145 174720174 208707290 291200290 313060935 320320319 436800435 626121870 640640638 669760667 873600870 960960957 1339521334 1601601595 1921921914 2009282001 3203203190 3348803335 4018564002 4804804785 6697606670 7367367337 9609609570 10046410005 14734734674 20092820010 22102102011 36836836685 44204204022 73673673370 110510510055 221021020110