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211223322112 = 2911311209811
BaseRepresentation
bin1100010010110111100…
…1000001111000000000
3202012012111221112002011
43010231321001320000
511430041132301422
6241011252502304
721155211420505
oct3045571017000
9665174845064
10211223322112
1181641071220
1234b2a31a994
1316bc25a838a
14a31a8c54ac
155763928077
hex312de41e00

211223322112 has 80 divisors (see below), whose sum is σ = 475252867584. Its totient is φ = 92913408000.

The previous prime is 211223322109. The next prime is 211223322119.

211223322112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211223322119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 430314 + ... + 779497.

Almost surely, 2211223322112 is an apocalyptic number.

211223322112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211223322112 is an abundant number, since it is smaller than the sum of its proper divisors (264029545472).

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

211223322112 is a wasteful number, since it uses less digits than its factorization.

211223322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209871 (or 1209855 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

It can be divided in two parts, 211223 and 322112, that added together give a palindrome (533335).

The spelling of 211223322112 in words is "two hundred eleven billion, two hundred twenty-three million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 496 512 682 704 992 1364 1408 1984 2728 2816 3968 5456 5632 7936 10912 15872 21824 43648 87296 174592 1209811 2419622 4839244 9678488 13307921 19356976 26615842 37504141 38713952 53231684 75008282 77427904 106463368 150016564 154855808 212926736 300033128 309711616 412545551 425853472 600066256 619423232 825091102 851706944 1200132512 1650182204 1703413888 2400265024 3300364408 3406827776 4800530048 6600728816 6813655552 9601060096 13201457632 19202120192 26402915264 52805830528 105611661056 211223322112