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20221013310 = 23517310313779
BaseRepresentation
bin10010110101010001…
…000010110100111110
31221012020101220111220
4102311101002310332
5312403034411220
613142302254210
71314044530401
oct226521026476
957166356456
1020221013310
118637264653
123b03b87366
131ba340b644
14d9b7b7d38
157d5376540
hex4b5442d3e

20221013310 has 64 divisors (see below), whose sum is σ = 48871226880. Its totient is φ = 5354483840.

The previous prime is 20221013299. The next prime is 20221013357. The reversal of 20221013310 is 1331012202.

20221013310 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×202210133102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20221013310.

It is a congruent number.

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, 5349001 + ... + 5352779.

It is an arithmetic number, because the mean of its divisors is an integer number (763612920).

Almost surely, 220221013310 is an apocalyptic number.

20221013310 is an abundant number, since it is smaller than the sum of its proper divisors (28650213570).

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

20221013310 is a wasteful number, since it uses less digits than its factorization.

20221013310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4993.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20221013310 its reverse (1331012202), we get a palindrome (21552025512).

The spelling of 20221013310 in words is "twenty billion, two hundred twenty-one million, thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 173 346 519 865 1031 1038 1730 2062 2595 3093 3779 5155 5190 6186 7558 10310 11337 15465 18895 22674 30930 37790 56685 113370 178363 356726 535089 653767 891815 1070178 1307534 1783630 1961301 2675445 3268835 3896149 3922602 5350890 6537670 7792298 9806505 11688447 19480745 19613010 23376894 38961490 58442235 116884470 674033777 1348067554 2022101331 3370168885 4044202662 6740337770 10110506655 20221013310