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22010010300 = 223252109224363
BaseRepresentation
bin10100011111111001…
…100001101010111100
32002210220201101000200
4110133321201222330
5330034030312200
614040010523500
71406300000145
oct243771415274
962726641020
1022010010300
119375093563
124323136590
1320c9c48445
1410cb228acc
1588c459800
hex51fe61abc

22010010300 has 108 divisors (see below), whose sum is σ = 69622392840. Its totient is φ = 5815463040.

The previous prime is 22010010271. The next prime is 22010010311. The reversal of 22010010300 is 301001022.

It is a happy number.

It is a super-2 number, since 2×220100103002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14082 + ... + 210281.

Almost surely, 222010010300 is an apocalyptic number.

22010010300 is a gapful number since it is divisible by the number (20) 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 22010010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34811196420).

22010010300 is an abundant number, since it is smaller than the sum of its proper divisors (47612382540).

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

22010010300 is a wasteful number, since it uses less digits than its factorization.

22010010300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224492 (or 224482 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 22010010300 its reverse (301001022), we get a palindrome (22311011322).

It can be divided in two parts, 220100 and 10300, that added together give a square (230400 = 4802).

The spelling of 22010010300 in words is "twenty-two billion, ten million, ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 109 150 180 218 225 300 327 436 450 545 654 900 981 1090 1308 1635 1962 2180 2725 3270 3924 4905 5450 6540 8175 9810 10900 16350 19620 24525 32700 49050 98100 224363 448726 673089 897452 1121815 1346178 2019267 2243630 2692356 3365445 4038534 4487260 5609075 6730890 8077068 10096335 11218150 13461780 16827225 20192670 22436300 24455567 33654450 40385340 48911134 50481675 67308900 73366701 97822268 100963350 122277835 146733402 201926700 220100103 244555670 293466804 366833505 440200206 489111340 611389175 733667010 880400412 1100500515 1222778350 1467334020 1834167525 2201001030 2445556700 3668335050 4402002060 5502502575 7336670100 11005005150 22010010300