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211212111112002 = 233711133907427963
BaseRepresentation
bin110000000001100010100110…
…110110101110011101000010
31000200211200101011202122202000
4300001202212312232131002
5210140444400421041002
62025113300534204430
762326400003304450
oct6001424666563502
91020750334678660
10211212111112002
116133160a486130
121b8323a47b3716
1390b12a7b9b160
143a22a1393d9d0
1519641a208a61c
hexc018a6dae742

211212111112002 has 128 divisors (see below), whose sum is σ = 630189982033920. Its totient is φ = 50640266387520.

The previous prime is 211212111111979. The next prime is 211212111112031. The reversal of 211212111112002 is 200211111212112.

It is a happy number.

211212111112002 is a `hidden beast` number, since 21 + 121 + 211 + 111 + 200 + 2 = 666.

It is a super-2 number, since 2×2112121111120022 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1953659928 + ... + 1953768035.

It is an arithmetic number, because the mean of its divisors is an integer number (4923359234640).

Almost surely, 2211212111112002 is an apocalyptic number.

211212111112002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211212111112002 is an abundant number, since it is smaller than the sum of its proper divisors (418977870921918).

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

211212111112002 is a wasteful number, since it uses less digits than its factorization.

211212111112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907428005 (or 3907427999 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211212111112002 its reverse (200211111212112), we get a palindrome (411423222324114).

The spelling of 211212111112002 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred eleven million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 27 33 39 42 54 63 66 77 78 91 99 117 126 143 154 182 189 198 231 234 273 286 297 351 378 429 462 546 594 693 702 819 858 1001 1287 1386 1638 2002 2079 2457 2574 3003 3861 4158 4914 6006 7722 9009 18018 27027 54054 3907427963 7814855926 11722283889 23444567778 27351995741 35166851667 42981707593 50796563519 54703991482 70333703334 82055987223 85963415186 101593127038 105500555001 128945122779 152389690557 164111974446 211001110002 246167961669 257890245558 300871953151 304779381114 355575944633 386835368337 457169071671 492335923338 558762198709 601743906302 711151889266 738503885007 773670736674 902615859453 914338143342 1066727833899 1117524397418 1160506105011 1371507215013 1477007770014 1676286596127 1805231718906 2133455667798 2321012210022 2707847578359 2743014430026 3200183501697 3352573192254 3911335390963 5028859788381 5415695156718 6400367003394 7822670781926 8123542735077 9600550505091 10057719576762 11734006172889 15086579365143 16247085470154 19201101010182 23468012345778 30173158730286 35202018518667 70404037037334 105606055556001 211212111112002