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210023112 = 233131971499
BaseRepresentation
bin11001000010010…
…11001011001000
3112122012021112210
430201023023020
5412231214422
632501305120
75130111165
oct1441131310
9478167483
10210023112
11a8609522
125a4051a0
1334686540
141dc7106c
151368910c
hexc84b2c8

210023112 has 128 divisors (see below), whose sum is σ = 604800000. Its totient is φ = 60238080.

The previous prime is 210023089. The next prime is 210023113. The reversal of 210023112 is 211320012.

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

It is not an unprimeable number, because it can be changed into a prime (210023113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420639 + ... + 421137.

It is an arithmetic number, because the mean of its divisors is an integer number (4725000).

Almost surely, 2210023112 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 210023112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400000).

210023112 is an abundant number, since it is smaller than the sum of its proper divisors (394776888).

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

210023112 is a wasteful number, since it uses less digits than its factorization.

210023112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 210023112 is about 14492.1741640100. The cubic root of 210023112 is about 594.4140001787.

Adding to 210023112 its reverse (211320012), we get a palindrome (421343124).

The spelling of 210023112 in words is "two hundred ten million, twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 71 76 78 104 114 142 152 156 213 228 247 284 312 426 456 494 499 568 741 852 923 988 998 1349 1482 1497 1704 1846 1976 1996 2698 2769 2964 2994 3692 3992 4047 5396 5538 5928 5988 6487 7384 8094 9481 10792 11076 11976 12974 16188 17537 18962 19461 22152 25948 28443 32376 35074 35429 37924 38922 51896 52611 56886 70148 70858 75848 77844 105222 106287 113772 123253 140296 141716 155688 210444 212574 227544 246506 283432 369759 420888 425148 460577 493012 673151 739518 850296 921154 986024 1346302 1381731 1479036 1842308 2019453 2692604 2763462 2958072 3684616 4038906 5385208 5526924 8077812 8750963 11053848 16155624 17501926 26252889 35003852 52505778 70007704 105011556 210023112