Search a number
-
+
221021012102022 = 233111096415325527
BaseRepresentation
bin110010010000010001110110…
…111010100000101110000110
31001222120101212100111100221000
4302100101312322200232012
5212432202013044231042
62102023352400234130
764361145502116216
oct6220216672405606
91058511770440830
10221021012102022
1164473537364550
122095742990b946
139643265acc7c2
143c8168cb8c246
151a843e51c974c
hexc90476ea0b86

221021012102022 has 128 divisors (see below), whose sum is σ = 541567853798400. Its totient is φ = 66258064281600.

The previous prime is 221021012102003. The next prime is 221021012102029. The reversal of 221021012102022 is 220201210120122.

It is a happy number.

221021012102022 is a `hidden beast` number, since 221 + 0 + 210 + 1 + 210 + 2 + 0 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 221021012101986 and 221021012102004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221021012102029) 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, 38839423 + ... + 44164949.

It is an arithmetic number, because the mean of its divisors is an integer number (4230998857800).

Almost surely, 2221021012102022 is an apocalyptic number.

221021012102022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221021012102022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270783926899200).

221021012102022 is an abundant number, since it is smaller than the sum of its proper divisors (320546841696378).

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

221021012102022 is a wasteful number, since it uses less digits than its factorization.

221021012102022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5326299 (or 5326293 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221021012102022 its reverse (220201210120122), we get a palindrome (441222222222144).

The spelling of 221021012102022 in words is "two hundred twenty-one trillion, twenty-one billion, twelve million, one hundred two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 109 198 218 297 327 594 641 654 981 1199 1282 1923 1962 2398 2943 3597 3846 5769 5886 7051 7194 10791 11538 14102 17307 21153 21582 32373 34614 42306 63459 64746 69869 126918 139738 190377 209607 380754 419214 628821 768559 1257642 1537118 1886463 2305677 3772926 4611354 5325527 6917031 10651054 13834062 15976581 20751093 31953162 41502186 47929743 58580797 95859486 117161594 143789229 175742391 287578458 351484782 527227173 580482443 1054454346 1160964886 1581681519 1741447329 3163363038 3413662807 3482894658 5224341987 6385306873 6827325614 10240988421 10448683974 12770613746 15673025961 19155920619 20481976842 30722965263 31346051922 37550290877 38311841238 57467761857 61445930526 75100581754 92168895789 112650872631 114935523714 172403285571 184337791578 225301745262 337952617893 344806571142 372089245963 675905235786 744178491926 1013857853679 1116267737889 2027715707358 2232535475778 3348803213667 4092981705593 6697606427334 8185963411186 10046409641001 12278945116779 20092819282002 24557890233558 36836835350337 73673670700674 110510506051011 221021012102022