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10112200208 = 24111071314099
BaseRepresentation
bin10010110101011101…
…11110111000010000
3222002201212222212122
421122232332320100
5131202210401313
64351231313412
7505406166155
oct113256767020
928081788778
1010112200208
11431a089760
121b6267b868
13c52013126
146bd00c22c
153e2b72708
hex25abbee10

10112200208 has 80 divisors (see below), whose sum is σ = 21743251200. Its totient is φ = 4517635200.

The previous prime is 10112200207. The next prime is 10112200213. The reversal of 10112200208 is 80200221101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10112200201) 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, 2464943 + ... + 2469041.

It is an arithmetic number, because the mean of its divisors is an integer number (271790640).

Almost surely, 210112200208 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 10112200208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10871625600).

10112200208 is an abundant number, since it is smaller than the sum of its proper divisors (11631050992).

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

10112200208 is a wasteful number, since it uses less digits than its factorization.

10112200208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4356 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10112200208 its reverse (80200221101), we get a palindrome (90312421309).

The spelling of 10112200208 in words is "ten billion, one hundred twelve million, two hundred thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 44 88 107 131 176 214 262 428 524 856 1048 1177 1441 1712 2096 2354 2882 4099 4708 5764 8198 9416 11528 14017 16396 18832 23056 28034 32792 45089 56068 65584 90178 112136 154187 180356 224272 308374 360712 438593 536969 616748 721424 877186 1073938 1233496 1754372 2147876 2466992 3508744 4295752 4824523 5906659 7017488 8591504 9649046 11813318 19298092 23626636 38596184 47253272 57455683 77192368 94506544 114911366 229822732 459645464 632012513 919290928 1264025026 2528050052 5056100104 10112200208