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30211122231120 = 24351811259552397
BaseRepresentation
bin1101101111010000100110…
…01101010111011101010000
310221222011012001102022210110
412313220103031113131100
512424434334242343440
6144130444205201320
76235452525632055
oct667502315273520
9127864161368713
1030211122231120
1196985129960a6
12347b14b860240
1313b1b86ab136c
1476632467902c
15375cd98d4080
hex1b7a13357750

30211122231120 has 160 divisors (see below), whose sum is σ = 94246876563840. Its totient is φ = 8005411215360.

The previous prime is 30211122231097. The next prime is 30211122231127. The reversal of 30211122231120 is 2113222111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30211122231127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54414762 + ... + 54967158.

It is an arithmetic number, because the mean of its divisors is an integer number (589042978524).

Almost surely, 230211122231120 is an apocalyptic number.

30211122231120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30211122231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47123438281920).

30211122231120 is an abundant number, since it is smaller than the sum of its proper divisors (64035754332720).

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

30211122231120 is a wasteful number, since it uses less digits than its factorization.

30211122231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553853 (or 553847 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 30211122231120 its reverse (2113222111203), we get a palindrome (32324344342323).

The spelling of 30211122231120 in words is "thirty trillion, two hundred eleven billion, one hundred twenty-two million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 181 240 362 543 724 905 1086 1259 1448 1810 2172 2518 2715 2896 3620 3777 4344 5036 5430 6295 7240 7554 8688 10072 10860 12590 14480 15108 18885 20144 21720 25180 30216 37770 43440 50360 60432 75540 100720 151080 227879 302160 455758 552397 683637 911516 1104794 1139395 1367274 1657191 1823032 2209588 2278790 2734548 2761985 3314382 3418185 3646064 4419176 4557580 5469096 5523970 6628764 6836370 8285955 8838352 9115160 10938192 11047940 13257528 13672740 16571910 18230320 22095880 26515056 27345480 33143820 44191760 54690960 66287640 99983857 132575280 199967714 299951571 399935428 499919285 599903142 695467823 799870856 999838570 1199806284 1390935646 1499757855 1599741712 1999677140 2086403469 2399612568 2781871292 2999515710 3477339115 3999354280 4172806938 4799225136 5563742584 5999031420 6954678230 7998708560 8345613876 10432017345 11127485168 11998062840 13909356460 16691227752 20864034690 23996125680 27818712920 33382455504 41728069380 55637425840 83456138760 125879675963 166912277520 251759351926 377639027889 503518703852 629398379815 755278055778 1007037407704 1258796759630 1510556111556 1888195139445 2014074815408 2517593519260 3021112223112 3776390278890 5035187038520 6042224446224 7552780557780 10070374077040 15105561115560 30211122231120