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211010120112 = 24311399640379
BaseRepresentation
bin1100010010000100101…
…1101110100110110000
3202011122122202201220210
43010201023232212300
511424122042320422
6240534155104120
721150012266361
oct3044113564660
9664578681823
10211010120112
1181541791420
1234a8aa42040
1316b8a37ac4c
14a2da467b68
15574ed6210c
hex31212ee9b0

211010120112 has 40 divisors (see below), whose sum is σ = 594664885440. Its totient is φ = 63942460480.

The previous prime is 211010120047. The next prime is 211010120149. The reversal of 211010120112 is 211021010112.

It is a super-3 number, since 3×2110101201123 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199819662 + ... + 199820717.

It is an arithmetic number, because the mean of its divisors is an integer number (14866622136).

Almost surely, 2211010120112 is an apocalyptic number.

211010120112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211010120112 is an abundant number, since it is smaller than the sum of its proper divisors (383654765328).

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

211010120112 is a wasteful number, since it uses less digits than its factorization.

211010120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399640401 (or 399640395 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211010120112 its reverse (211021010112), we get a palindrome (422031130224).

Subtracting 211010120112 from its reverse (211021010112), we obtain a square (10890000 = 33002).

The spelling of 211010120112 in words is "two hundred eleven billion, ten million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 399640379 799280758 1198921137 1598561516 2397842274 3197123032 4396044169 4795684548 6394246064 8792088338 9591369096 13188132507 17584176676 19182738192 26376265014 35168353352 52752530028 70336706704 105505060056 211010120112