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202002120112 = 24132295477753
BaseRepresentation
bin1011110000100001000…
…0111011110110110000
3201022101212121220222011
42330020100323312300
511302200020320422
6232444250252304
720410541455612
oct2741020736660
9638355556864
10202002120112
1178739a26721
1233196127094
1316083059530
149ac3d6cdb2
1553c4105077
hex2f0843bdb0

202002120112 has 80 divisors (see below), whose sum is σ = 424154345440. Its totient is φ = 92642973696.

The previous prime is 202002120109. The next prime is 202002120167. The reversal of 202002120112 is 211021200202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 202002120092 and 202002120101.

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, 26050828 + ... + 26058580.

It is an arithmetic number, because the mean of its divisors is an integer number (5301929318).

Almost surely, 2202002120112 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 202002120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212077172720).

202002120112 is an abundant number, since it is smaller than the sum of its proper divisors (222152225328).

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

202002120112 is a wasteful number, since it uses less digits than its factorization.

202002120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8550 (or 8544 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202002120112 its reverse (211021200202), we get a palindrome (413023320314).

The spelling of 202002120112 in words is "two hundred two billion, two million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 208 229 458 547 916 1094 1832 2188 2977 3664 4376 5954 7111 7753 8752 11908 14222 15506 23816 28444 31012 47632 56888 62024 100789 113776 124048 125263 201578 250526 403156 501052 806312 1002104 1612624 1628419 1775437 2004208 3256838 3550874 4240891 6513676 7101748 8481782 13027352 14203496 16963564 23080681 26054704 28406992 33927128 46161362 55131583 67854256 92322724 110263166 184645448 220526332 369290896 441052664 882105328 971164039 1942328078 3884656156 7769312312 12625132507 15538624624 25250265014 50500530028 101001060056 202002120112