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10112201001 = 337217835417
BaseRepresentation
bin10010110101011101…
…11111000100101001
3222002201220000222000
421122232333010221
5131202210413001
64351231321213
7505406201400
oct113256770451
928081800860
1010112201001
11431a08a311
121b62680209
13c520135b6
146bd00c637
153e2b72a86
hex25abbf129

10112201001 has 96 divisors (see below), whose sum is σ = 18677796480. Its totient is φ = 5371978752.

The previous prime is 10112200993. The next prime is 10112201003. The reversal of 10112201001 is 10010221101.

It is a happy number.

It is not a de Polignac number, because 10112201001 - 23 = 10112200993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10112201003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1864045 + ... + 1869461.

It is an arithmetic number, because the mean of its divisors is an integer number (194560380).

Almost surely, 210112201001 is an apocalyptic number.

It is an amenable number.

10112201001 is a deficient number, since it is larger than the sum of its proper divisors (8565595479).

10112201001 is a wasteful number, since it uses less digits than its factorization.

10112201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5540 (or 5527 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10112201001 its reverse (10010221101), we get a palindrome (20122422102).

The spelling of 10112201001 in words is "ten billion, one hundred twelve million, two hundred one thousand, one".

Divisors: 1 3 7 9 17 21 27 49 51 63 83 119 147 153 189 249 357 441 459 581 747 833 1071 1323 1411 1743 2241 2499 3213 4067 4233 5229 5417 7497 9877 12201 12699 15687 16251 22491 29631 36603 37919 38097 48753 69139 88893 92089 109809 113757 146259 207417 265433 266679 276267 341271 449611 622251 644623 796299 828801 1023813 1348833 1866753 1933869 2388897 2486403 3147277 4046499 4512361 5801607 7166691 7643387 9441831 12139497 13537083 17404821 22030939 22930161 28325493 40611249 53503709 66092817 68790483 84976479 121833747 160511127 198278451 206371449 374525963 481533381 594835353 1123577889 1444600143 3370733667 10112201001