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202012000112 = 24131637198287
BaseRepresentation
bin1011110000100011011…
…0100111111101110000
3201022102120012212210002
42330020312213331300
511302210033000422
6232445242125132
720411021445356
oct2741066477560
9638376185702
10202012000112
117874456470a
12331994b07a8
13160851085a0
149ac53c17d6
1553c4e07692
hex2f08da7f70

202012000112 has 80 divisors (see below), whose sum is σ = 424732815360. Its totient is φ = 92524260096.

The previous prime is 202012000049. The next prime is 202012000117. The reversal of 202012000112 is 211000210202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 202012000093 and 202012000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202012000117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24372833 + ... + 24381119.

It is an arithmetic number, because the mean of its divisors is an integer number (5309160192).

Almost surely, 2202012000112 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 202012000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212366407680).

202012000112 is an abundant number, since it is smaller than the sum of its proper divisors (222720815248).

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

202012000112 is a wasteful number, since it uses less digits than its factorization.

202012000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9190 (or 9184 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 202012000112 its reverse (211000210202), we get a palindrome (413012210314).

The spelling of 202012000112 in words is "two hundred two billion, twelve million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 52 104 163 208 326 652 719 1304 1438 2119 2608 2876 4238 5752 8287 8476 9347 11504 16574 16952 18694 33148 33904 37388 66296 74776 107731 117197 132592 149552 215462 234394 430924 468788 861848 937576 1350781 1523561 1723696 1875152 2701562 3047122 5403124 5958353 6094244 10806248 11916706 12188488 17560153 21612496 23833412 24376976 35120306 47666824 70240612 77458589 95333648 140481224 154917178 280962448 309834356 619668712 971211539 1239337424 1942423078 3884846156 7769692312 12625750007 15539384624 25251500014 50503000028 101006000056 202012000112