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10101303212 = 22711135634481
BaseRepresentation
bin10010110100001010…
…11010011110101100
3222001222101101000012
421122011122132230
5131141413200322
64350201552352
7505214442410
oct113205323654
928058341005
1010101303212
114313a16680
121b5aaa56b8
13c4c9991c0
146bb7b2d40
153e1c1dae2
hex25a15a7ac

10101303212 has 96 divisors (see below), whose sum is σ = 23781993984. Its totient is φ = 3625574400.

The previous prime is 10101303193. The next prime is 10101303257. The reversal of 10101303212 is 21230310101.

10101303212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2252012 + ... + 2256492.

It is an arithmetic number, because the mean of its divisors is an integer number (247729104).

Almost surely, 210101303212 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 10101303212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11890996992).

10101303212 is an abundant number, since it is smaller than the sum of its proper divisors (13680690772).

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

10101303212 is a wasteful number, since it uses less digits than its factorization.

10101303212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5079 (or 5077 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10101303212 its reverse (21230310101), we get a palindrome (31331613313).

It can be divided in two parts, 10101 and 303212, that added together give a palindrome (313313).

The spelling of 10101303212 in words is "ten billion, one hundred one million, three hundred three thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 563 572 1001 1126 2002 2252 3941 4004 4481 6193 7319 7882 8962 12386 14638 15764 17924 24772 29276 31367 43351 49291 51233 58253 62734 80509 86702 98582 102466 116506 125468 161018 173404 197164 204932 233012 322036 345037 407771 563563 640783 690074 815542 1127126 1281566 1380148 1631084 2254252 2522803 2563132 4485481 5045606 8970962 10091212 17659621 17941924 27750833 32796439 35319242 55501666 65592878 70638484 111003332 131185756 194255831 229575073 360760829 388511662 459150146 721521658 777023324 918300292 1443043316 2525325803 5050651606 10101303212