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10201212112 = 2471317340499
BaseRepresentation
bin10011000000000101…
…00010010011010000
3222022221101021020211
421200002202103100
5131343002241422
64404131213504
7510536605120
oct114002422320
928287337224
1010201212112
114365355713
121b88447294
13c675aa3b0
146cab7cc80
153ea8a6577
hex2600a24d0

10201212112 has 80 divisors (see below), whose sum is σ = 24467184000. Its totient is φ = 4012217856.

The previous prime is 10201212089. The next prime is 10201212137. The reversal of 10201212112 is 21121210201.

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 = 10201212092 and 10201212101.

It is a congruent number.

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, 231639 + ... + 272137.

It is an arithmetic number, because the mean of its divisors is an integer number (305839800).

Almost surely, 210201212112 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 10201212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12233592000).

10201212112 is an abundant number, since it is smaller than the sum of its proper divisors (14265971888).

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

10201212112 is a wasteful number, since it uses less digits than its factorization.

10201212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40700 (or 40694 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10201212112 its reverse (21121210201), we get a palindrome (31322422313).

The spelling of 10201212112 in words is "ten billion, two hundred one million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 173 182 208 346 364 692 728 1211 1384 1456 2249 2422 2768 4498 4844 8996 9688 15743 17992 19376 31486 35984 40499 62972 80998 125944 161996 251888 283493 323992 526487 566986 647984 1052974 1133972 2105948 2267944 3685409 4211896 4535888 7006327 7370818 8423792 14012654 14741636 28025308 29483272 49044289 56050616 58966544 91082251 98088578 112101232 182164502 196177156 364329004 392354312 637575757 728658008 784708624 1275151514 1457316016 2550303028 5100606056 10201212112