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212011010202112 = 2911294131660219
BaseRepresentation
bin110000001101001010101000…
…111100111001101000000000
31000210200001110211100101021021
4300031022220330321220000
5210242042022102431422
62030524302530235224
762441201321443612
oct6015125074715000
91023601424311237
10212011010202112
116160a401163a40
121b9411a2425b14
13913b724a38954
143a4d55d9aadb2
151979d5d8b6dc7
hexc0d2a8f39a00

212011010202112 has 160 divisors (see below), whose sum is σ = 489712684507200. Its totient is φ = 90776177049600.

The previous prime is 212011010202107. The next prime is 212011010202137. The reversal of 212011010202112 is 211202010110212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9133662 + ... + 22526557.

It is an arithmetic number, because the mean of its divisors is an integer number (3060704278170).

Almost surely, 2212011010202112 is an apocalyptic number.

212011010202112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212011010202112 is an abundant number, since it is smaller than the sum of its proper divisors (277701674305088).

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

212011010202112 is a wasteful number, since it uses less digits than its factorization.

212011010202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31660318 (or 31660302 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212011010202112 its reverse (211202010110212), we get a palindrome (423213020312324).

The spelling of 212011010202112 in words is "two hundred twelve trillion, eleven billion, ten million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 32 41 44 58 64 82 88 116 128 164 176 232 256 319 328 352 451 464 512 638 656 704 902 928 1189 1276 1312 1408 1804 1856 2378 2552 2624 2816 3608 3712 4756 5104 5248 5632 7216 7424 9512 10208 10496 13079 14432 14848 19024 20416 20992 26158 28864 38048 40832 52316 57728 76096 81664 104632 115456 152192 163328 209264 230912 304384 418528 608768 837056 1674112 3348224 6696448 31660219 63320438 126640876 253281752 348262409 506563504 696524818 918146351 1013127008 1298068979 1393049636 1836292702 2026254016 2596137958 2786099272 3672585404 4052508032 5192275916 5572198544 7345170808 8105016064 10099609861 10384551832 11144397088 14278758769 14690341616 16210032128 20199219722 20769103664 22288794176 28557517538 29380683232 37644000391 40398439444 41538207328 44577588352 57115035076 58761366464 75288000782 80796878888 83076414656 89155176704 114230070152 117522732928 150576001564 161593757776 166152829312 178310353408 228460140304 235045465856 301152003128 323187515552 332305658624 414084004301 456920280608 470090931712 602304006256 646375031104 664611317248 828168008602 913840561216 1204608012512 1292750062208 1656336017204 1827681122432 2409216025024 2585500124416 3312672034408 3655362244864 4818432050048 5171000248832 6625344068816 7310724489728 9636864100096 13250688137632 19273728200192 26501376275264 53002752550528 106005505101056 212011010202112