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210110101122112 = 261910112713470641
BaseRepresentation
bin101111110001100000010001…
…111100001110110001000000
31000112221022220012112211020021
4233301200101330032301000
5210014420441341401422
62022511125315423224
762153645114040202
oct5761402174166100
91015838805484207
10210110101122112
1160a47214584a74
121b6948b38b4b14
1390313b385b769
1439c555153a772
1519456a4e01dc7
hexbf1811f0ec40

210110101122112 has 112 divisors (see below), whose sum is σ = 446716662958080. Its totient is φ = 97764516864000.

The previous prime is 210110101122043. The next prime is 210110101122133. The reversal of 210110101122112 is 211221101011012.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8862312 + ... + 22332952.

Almost surely, 2210110101122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210110101122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223358331479040).

210110101122112 is an abundant number, since it is smaller than the sum of its proper divisors (236606561835968).

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

210110101122112 is a wasteful number, since it uses less digits than its factorization.

210110101122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13470900 (or 13470890 counting only the distinct ones).

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

Adding to 210110101122112 its reverse (211221101011012), we get a palindrome (421331202133124).

It can be divided in two parts, 21011010 and 1122112, that added together give a palindrome (22133122).

The spelling of 210110101122112 in words is "two hundred ten trillion, one hundred ten billion, one hundred one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 101 127 152 202 254 304 404 508 608 808 1016 1216 1616 1919 2032 2413 3232 3838 4064 4826 6464 7676 8128 9652 12827 15352 19304 25654 30704 38608 51308 61408 77216 102616 122816 154432 205232 243713 410464 487426 820928 974852 1949704 3899408 7798816 13470641 15597632 26941282 53882564 107765128 215530256 255942179 431060512 511884358 862121024 1023768716 1360534741 1710771407 2047537432 2721069482 3421542814 4095074864 5442138964 6843085628 8190149728 10884277928 13686171256 16380299456 21768555856 25850160079 27372342512 32504656733 43537111712 51700320158 54744685024 65009313466 87074223424 103400640316 109489370048 130018626932 172787912107 206801280632 260037253864 345575824214 413602561264 520074507728 691151648428 827205122528 1040149015456 1382303296856 1654410245056 2080298030912 2764606593712 3282970330033 5529213187424 6565940660066 11058426374848 13131881320132 26263762640264 52527525280528 105055050561056 210110101122112