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20222010220100 = 225213241263245419
BaseRepresentation
bin1001001100100010011011…
…01111000101111001000100
32122121012112122212012222012
410212101031233011321010
510122304134104020400
6111001510243353352
74154664156531533
oct446211557057104
978535478765865
1020222010220100
116497119645387
1223271b2382858
13b38c095c2990
144dca715c031a
1525104a7a6d35
hex12644dbc5e44

20222010220100 has 144 divisors (see below), whose sum is σ = 47633995812480. Its totient is φ = 7407304243200.

The previous prime is 20222010220091. The next prime is 20222010220103. The reversal of 20222010220100 is 102201022202.

It is not an unprimeable number, because it can be changed into a prime (20222010220103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82275191 + ... + 82520609.

Almost surely, 220222010220100 is an apocalyptic number.

20222010220100 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 20222010220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23816997906240).

20222010220100 is an abundant number, since it is smaller than the sum of its proper divisors (27411985592380).

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

20222010220100 is a wasteful number, since it uses less digits than its factorization.

20222010220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245950 (or 245943 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20222010220100 its reverse (102201022202), we get a palindrome (20324211242302).

The spelling of 20222010220100 in words is "twenty trillion, two hundred twenty-two billion, ten million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 241 260 263 325 482 526 650 964 1052 1205 1300 1315 2410 2630 3133 3419 4820 5260 6025 6266 6575 6838 12050 12532 13150 13676 15665 17095 24100 26300 31330 34190 62660 63383 68380 78325 85475 126766 156650 170950 245419 253532 313300 316915 341900 490838 633830 823979 981676 1227095 1267660 1584575 1647958 2454190 3169150 3190447 3295916 4119895 4908380 6135475 6338300 6380894 8239790 12270950 12761788 15952235 16479580 20599475 24541900 31904470 41198950 59145979 63808940 64545197 79761175 82397900 118291958 129090394 159522350 236583916 258180788 295729895 319044700 322725985 591459790 645451970 768897727 839087561 1182919580 1290903940 1478649475 1537795454 1613629925 1678175122 2957298950 3075590908 3227259850 3356350244 3844488635 4195437805 5914597900 6454519700 7688977270 8390875610 15377954540 15555392477 16781751220 19222443175 20977189025 31110784954 38444886350 41954378050 62221569908 76889772700 77776962385 83908756100 155553924770 202220102201 311107849540 388884811925 404440204402 777769623850 808880408804 1011100511005 1555539247700 2022201022010 4044402044020 5055502555025 10111005110050 20222010220100