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211210121122104 = 233132729592480063
BaseRepresentation
bin110000000001100000110000…
…001111100001000100111000
31000200211111020111020200210110
4300001200300033201010320
5210140431312001401404
62025112331245544320
762326266460543566
oct6001406017410470
91020744214220713
10211210121122104
1161330789156285
121b831b2a2750a0
1390b104b81a140
143a228a552ca36
1519640d7503b89
hexc018303e1138

211210121122104 has 64 divisors (see below), whose sum is σ = 568644946329600. Its totient is φ = 64987465286016.

The previous prime is 211210121122103. The next prime is 211210121122157. The reversal of 211210121122104 is 401221121012112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211210121122103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83923177 + ... + 86403239.

It is an arithmetic number, because the mean of its divisors is an integer number (8885077286400).

Almost surely, 2211210121122104 is an apocalyptic number.

211210121122104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211210121122104 is an abundant number, since it is smaller than the sum of its proper divisors (357434825207496).

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

211210121122104 is a wasteful number, since it uses less digits than its factorization.

211210121122104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753044 (or 2753040 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 211210121122104 its reverse (401221121012112), we get a palindrome (612431242134216).

The spelling of 211210121122104 in words is "two hundred eleven trillion, two hundred ten billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 272959 545918 818877 1091836 1637754 2183672 2480063 3275508 3548467 4960126 6551016 7096934 7440189 9920252 10645401 14193868 14880378 19840504 21290802 28387736 29760756 32240819 42581604 59521512 64481638 85163208 96722457 128963276 193444914 257926552 386889828 773779656 676955516417 1353911032834 2030866549251 2707822065668 4061733098502 5415644131336 8123466197004 8800421713421 16246932394008 17600843426842 26401265140263 35201686853684 52802530280526 70403373707368 105605060561052 211210121122104