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211030034022 = 23510919312063
BaseRepresentation
bin1100010010001001011…
…1101100011001100110
3202011201001020110200000
43010202113230121212
511424142142042042
6240540150002130
721150343456413
oct3044227543146
9664631213600
10211030034022
1181551a52aa5
1234a95646346
1316b91531122
14a2dcd6d10a
15575199774c
hex31225ec666

211030034022 has 96 divisors (see below), whose sum is σ = 478996277760. Its totient is φ = 69628131360.

The previous prime is 211030034003. The next prime is 211030034053. The reversal of 211030034022 is 220430030112.

211030034022 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 300 + 340 + 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 = 211030033986 and 211030034004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102291763 + ... + 102293825.

It is an arithmetic number, because the mean of its divisors is an integer number (4989544560).

Almost surely, 2211030034022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211030034022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239498138880).

211030034022 is an abundant number, since it is smaller than the sum of its proper divisors (267966243738).

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

211030034022 is a wasteful number, since it uses less digits than its factorization.

211030034022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 211030034022 its reverse (220430030112), we get a palindrome (431460064134).

The spelling of 211030034022 in words is "two hundred eleven billion, thirty million, thirty-four thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 109 162 218 243 327 486 654 981 1931 1962 2063 2943 3862 4126 5793 5886 6189 8829 11586 12378 17379 17658 18567 26487 34758 37134 52137 52974 55701 104274 111402 156411 167103 210479 224867 312822 334206 420958 449734 469233 501309 631437 674601 938466 1002618 1262874 1349202 1894311 2023803 3788622 3983653 4047606 5682933 6071409 7967306 11365866 11950959 12142818 17048799 18214227 23901918 34097598 35852877 36428454 51146397 54642681 71705754 102292794 107558631 109285362 215117262 322675893 434218177 645351786 868436354 968027679 1302654531 1936055358 2605309062 3907963593 7815927186 11723890779 23447781558 35171672337 70343344674 105515017011 211030034022