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211376242673112 = 233112193830945387
BaseRepresentation
bin110000000011111011011101…
…110110111100010111011000
31000201102101000210020212002210
4300003323131312330113120
5210201142021111014422
62025320523315155120
762344300225456356
oct6003733566742730
91021371023225083
10211376242673112
1161395185470300
121b85a16bba5aa0
1390c39040a069a
143a2a9440527d6
1519685ab5d910c
hexc03edddbc5d8

211376242673112 has 96 divisors (see below), whose sum is σ = 611418883924800. Its totient is φ = 60682174914240.

The previous prime is 211376242673069. The next prime is 211376242673231.

211376242673112 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1915417518 + ... + 1915527869.

It is an arithmetic number, because the mean of its divisors is an integer number (6368946707550).

Almost surely, 2211376242673112 is an apocalyptic number.

211376242673112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211376242673112 is an abundant number, since it is smaller than the sum of its proper divisors (400042641251688).

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

211376242673112 is a wasteful number, since it uses less digits than its factorization.

211376242673112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830945437 (or 3830945422 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The spelling of 211376242673112 in words is "two hundred eleven trillion, three hundred seventy-six billion, two hundred forty-two million, six hundred seventy-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 121 132 152 209 228 242 264 363 418 456 484 627 726 836 968 1254 1452 1672 2299 2508 2904 4598 5016 6897 9196 13794 18392 27588 55176 3830945387 7661890774 11492836161 15323781548 22985672322 30647563096 42140399257 45971344644 72787962353 84280798514 91942689288 126421197771 145575924706 168561597028 218363887059 252842395542 291151849412 337123194056 436727774118 463544391827 505684791084 582303698824 800667585883 873455548236 927088783654 1011369582168 1390633175481 1601335171766 1746911096472 1854177567308 2402002757649 2781266350962 3202670343532 3708355134616 4804005515298 5562532701924 6405340687064 8807343444713 9608011030596 11125065403848 17614686889426 19216022061192 26422030334139 35229373778852 52844060668278 70458747557704 105688121336556 211376242673112