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112022200212 = 223132360151949
BaseRepresentation
bin110100001010100001…
…0110001111110010100
3101201011000112101120020
41220111002301332110
53313410140401322
6123243504305140
711044004663616
oct1502502617624
9351130471506
10112022200212
114356568005a
12198640121b0
13a743447c90
1455c99badb6
152da98e305c
hex1a150b1f94

112022200212 has 96 divisors (see below), whose sum is σ = 294224851200. Its totient is φ = 32914252800.

The previous prime is 112022200211. The next prime is 112022200217. The reversal of 112022200212 is 212002220211.

It is a junction number, because it is equal to n+sod(n) for n = 112022200191 and 112022200200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112022200211) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2130414 + ... + 2182362.

It is an arithmetic number, because the mean of its divisors is an integer number (3064842200).

Almost surely, 2112022200212 is an apocalyptic number.

112022200212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112022200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147112425600).

112022200212 is an abundant number, since it is smaller than the sum of its proper divisors (182202650988).

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

112022200212 is a wasteful number, since it uses less digits than its factorization.

112022200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52593 (or 52591 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 112022200212 its reverse (212002220211), we get a palindrome (324024420423).

The spelling of 112022200212 in words is "one hundred twelve billion, twenty-two million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 601 897 1196 1202 1794 1803 2404 3588 3606 7212 7813 13823 15626 23439 27646 31252 41469 46878 51949 55292 82938 93756 103898 155847 165876 179699 207796 311694 359398 539097 623388 675337 718796 1078194 1194827 1350674 2026011 2156388 2389654 2701348 3584481 4052022 4779308 7168962 8104044 14337924 15532751 31065502 31221349 46598253 62131004 62442698 93196506 93664047 124885396 186393012 187328094 374656188 405877537 718091027 811755074 1217632611 1436182054 1623510148 2154273081 2435265222 2872364108 4308546162 4870530444 8617092324 9335183351 18670366702 28005550053 37340733404 56011100106 112022200212