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10220302300 = 22521345717203
BaseRepresentation
bin10011000010010110…
…10110111111011100
3222101021022011001211
421201023112333130
5131412344133200
64410052314204
7511161064465
oct114113267734
928337264054
1010220302300
11437510442a
121b92912964
13c6b532670
146cd50bd6c
153ec3c7aba
hex2612d6fdc

10220302300 has 72 divisors (see below), whose sum is σ = 23937714416. Its totient is φ = 3765173760.

The previous prime is 10220302291. The next prime is 10220302343. The reversal of 10220302300 is 320302201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 585499 + ... + 602701.

Almost surely, 210220302300 is an apocalyptic number.

10220302300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11968857208).

10220302300 is an abundant number, since it is smaller than the sum of its proper divisors (13717412116).

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

10220302300 is a wasteful number, since it uses less digits than its factorization.

10220302300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17687 (or 17680 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 10220302300 its reverse (320302201), we get a palindrome (10540604501).

Subtracting from 10220302300 its reverse (320302201), we obtain a palindrome (9900000099).

The spelling of 10220302300 in words is "ten billion, two hundred twenty million, three hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 457 650 914 1300 1828 2285 4570 5941 9140 11425 11882 17203 22850 23764 29705 34406 45700 59410 68812 86015 118820 148525 172030 223639 297050 344060 430075 447278 594100 860150 894556 1118195 1720300 2236390 4472780 5590975 7861771 11181950 15723542 22363900 31447084 39308855 78617710 102203023 157235420 196544275 204406046 393088550 408812092 511015115 786177100 1022030230 2044060460 2555075575 5110151150 10220302300