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211221130331112 = 233113793708756921
BaseRepresentation
bin110000000001101011000000…
…011100010100001111101000
31000200212112122202000110102020
4300001223000130110033220
5210141121333331043422
62025121351523304440
762330136341353056
oct6001530034241750
91020775582013366
10211221130331112
1161335418603a20
121b8340a121b120
1390b20b461a2b5
143a2322b7191d6
15196452dcb195c
hexc01ac07143e8

211221130331112 has 128 divisors (see below), whose sum is σ = 577603290009600. Its totient is φ = 63834678028800.

The previous prime is 211221130331051. The next prime is 211221130331209. The reversal of 211221130331112 is 211133031122112.

It is a super-2 number, since 2×2112211303311122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3710748412 + ... + 3710805332.

It is an arithmetic number, because the mean of its divisors is an integer number (4512525703200).

Almost surely, 2211221130331112 is an apocalyptic number.

211221130331112 is a gapful number since it is divisible by the number (22) 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 211221130331112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288801645004800).

211221130331112 is an abundant number, since it is smaller than the sum of its proper divisors (366382159678488).

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

211221130331112 is a wasteful number, since it uses less digits than its factorization.

211221130331112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94407 (or 94403 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 211221130331112 its reverse (211133031122112), we get a palindrome (422354161453224).

The spelling of 211221130331112 in words is "two hundred eleven trillion, two hundred twenty-one billion, one hundred thirty million, three hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 379 758 1137 1516 2274 3032 4169 4548 8338 9096 12507 16676 25014 33352 37087 50028 56921 74174 100056 111261 113842 148348 170763 222522 227684 296696 341526 407957 445044 455368 626131 683052 815914 890088 1223871 1252262 1366104 1631828 1878393 2447742 2504524 3263656 3756786 4895484 5009048 7513572 9790968 14055973 15027144 21573059 28111946 42167919 43146118 56223892 64719177 84335838 86292236 112447784 129438354 154615703 168671676 172584472 237303649 258876708 309231406 337343352 463847109 474607298 517753416 618462812 711910947 927694218 949214596 1236925624 1423821894 1855388436 1898429192 2111029127 2847643788 3710776872 4222058254 5695287576 6333087381 8444116508 12666174762 16888233016 23221320397 25332349524 46442640794 50664699048 69663961191 92885281588 139327922382 185770563176 278655844764 557311689528 800080039133 1600160078266 2400240117399 3200320156532 4800480234798 6400640313064 8800880430463 9600960469596 17601760860926 19201920939192 26402641291389 35203521721852 52805282582778 70407043443704 105610565165556 211221130331112